Current Areas of Interest

• Chemical Graph Theory

• Mathematical Chemistry

• Extremal Graph Theory

• Graph Matching Algorithms

• String Matching (Approximate and Parameterized String Matching Algorithms)

• Combinatorics

Other Areas of Interest

• Data Structures

• Design and Analysis of Algorithms

• Discrete Mathematics

• Combinatorial Optimizations

• Theory of Automata

• Theory of Computation

• Clustering Analysis

Number of Completed Research Projects (Sponsored by BHU): 02

Ongoing Research Projects (Sponsored by SERB, DST, Govt. of India): 01

• Title: Comparative Study of Topological Descriptors Among Some Well-known Antiviral Drugs Used for the Treatment of COVID-19 Patients

Research Publications  <<<<<<< Total Number of Publication in [SCI/SCIE: 13], [Q1: 6 [Q2: 10], [Q3: 11], [Q4: 7] >>>>>>>:

1. [J61] Jayjit Barman and Shibsankar Das. Relationships Between Domination Elliptic Sombor Index and Other Domination Topological Indices. Proceedings of the National Academy of Sciences, India Section A: Physical Sciences,  published by the National Academy of Sciences, India & Springer,  Volume --, Issue no. -, Page: -, 2026 (Accepted on 22-June-2026). (DOI:- https://doi.org/10.1007/s40010-026-01161-8). [Online ISSN / eISSN: 2250-1762, ISSN: 0369-8203]-[Indexed in SCIE (Journal Citation Reports (JCR), I.F: 1.3 (2025), WoS), Q2,  Scopus].

2. [J53] Shibsankar Das and Shahzadi Nargis. Reverse M-polynomial of a Graph. International Journal of Foundations of Computer Science (IJFCS),  World Scientific, Volume -, Issue no. -, Page: ---, 2026, (Accepted on 10-June-2026). [DOI: https://doi.org/...]  - [ISSN: 0129-0541, eISSN: 1793-6373] - [Indexed in SCIE (Journal Citation Reports (JCR), I.F: 0.5 (2025), WoS), Q3,  Scopus].

3. [J52] Shibsankar Das and Arti Kumari. On Neighborhood Degree Sum-based Indices of Nirmatrelvir and Its QSPR Investigation With Some Other COVID-19 Drugs. In Silico Pharmacology, published by Springer Nature, Volume --, Issue no. -, Page: -, 2026 (Accepted on 15-May-2026). (DOI:- https://doi.org/10.1007/s40203-026-00663-y). [eISSN: 2193-9616]-[Indexed in PubMed, Embas, Biological Abstracts, BIOSIS Previews].

4. [J51] Virendra Kumar and Shibsankar Das. QSPR Analysis of Thermodynamic Properties of Silicon Carbide Networks via Nirmala Indices-based Entropy Measures. Proceedings of the National Academy of Sciences, India Section A: Physical Sciences,  published by the National Academy of Sciences, India & Springer,  Volume --, Issue no. -, Page: -, 2026 (Accepted on 11-May-2026). (DOI:- https://doi.org/10.1007/s40010-026-01071-9). [Online ISSN / eISSN: 2250-1762, ISSN: 0369-8203]-[Indexed in SCIE (Journal Citation Reports (JCR), I.F: 1.3 (2025), WoS), Q2,  Scopus].

5. [J50] Biswaranjan Khanra and Shibsankar Das. Bounds on the Augmented Sombor Index of a Graph. International Journal of Foundations of Computer Science (IJFCS),  World Scientific, Volume -, Issue no. -, Page: ---, 2026, (Accepted on 14-April-2026). [DOI: https://doi.org/10.1142/S0129054126500139]  - [ISSN: 0129-0541, eISSN: 1793-6373] - [Indexed in SCIE (Journal Citation Reports (JCR), I.F: 0.5 (2025), WoS), Q3,  Scopus].

6. [J49] Shibsankar Das and Shikha Rai. On the Hosoya Polynomial of an Oral Antiviral COVID-19 Drug Molnupiravir. Proceedings of the National Academy of Sciences, India Section A: Physical Sciences,  published by the National Academy of Sciences, India & Springer,  Volume --, Issue no. -, Page: -, 2026 (Accepted on 23-March-2026). (DOI:- https://doi.org/10.1007/s40010-026-01008-2). [Online ISSN / eISSN: 2250-1762, ISSN: 0369-8203]-[Indexed in SCIE (Journal Citation Reports (JCR), I.F: 1.3 (2025), WoS), Q2,  Scopus].

7. [J48] Jayjit Barman and Shibsankar Das. Neighborhood Domination SDD and SO Indices of Graphs and Their Bounds. Palestine Journal of Mathematics (PJM), Volume ??, Issue no. ?, Page: ??, 2026, (Accepted on 8-February-2026). [ISSN: 2219-5688] - [Indexed in American Math Reviews, Scopus, Q3].

8. [J47] Shibsankar Das, Virendra Kumar, Jayjit Barman, Modhuleena Mandal and Arti Kumari. Degree and Neighborhood Degree Sum-based Topological Characteristics of Zosurabalpin: a Novel Drug for Managing Antibiotic-resistant Infection. Scientific Annals of Computer Science (SACS), Volume 36, Issue no. 1, Page: 27-62, 2026, Alexandru Ioan Cuza University of Iaşi, (Accepted on 14-January-2026). [DOI: https://doi.org/10.47743/SACS.2026.1.27] - [eISSN: 2248-2695] - [Indexed in Web of Science (ESCI), Scopus, DBLP, Q3].

9. [J46] Biswaranjan Khanra and Shibsankar Das. On Max-min Rodeg Index of Graphs. Communications in Combinatorics and Optimization (CCO),  Azarbaijan Shahid Madani University, Volume -, Issue no. -, Page: ---, 2026, (Accepted on 08-January-2026). [DOI: https://doi.org/10.22049/cco.2026.30730.2597]  - [ISSN: 2538-2128, eISSN: 2538-2136] - [Indexed in ESCI (JCR Impact Factor: 0.8 (2023)), Q1, Scopus].

10. [J45] Jayjit Barman and Shibsankar Das. QSPR Analysis of Elliptic-type Entropy Measures and Their Correlation with Elliptic-type Indices of Silicon Carbide Networks. Silicon, Springer,  Volume 18, Issue no. 6, Page: 2365-239, 2026, (Accepted on 08-January-2026). [DOI: https://doi.org/10.1007/s12633-026-03647-x]  - [ISSN: 1876-9918] - [Indexed in SCIE (Journal Citation Reports (JCR), I.F: 4.1 (2025), WoS, Q1), Scopus].

11. [J44] Abeer M. Albalahi, Shibsankar Das, Akbar Ali, Jayjit Barman, Amjad E. Hamza. On the hyperbolic Sombor index and its counterpart. Discrete Mathematics Letters,  Volume 16, Page: 108-115, 2025, (Accepted on 17-December-2025). [DOI: https://doi.org/10.47443/dml.2025.176]  - [E-ISSN: 2664-2557] - [Indexed in ESCI, Q2, Scopus].

12. [J43] Jayjit Barman and Shibsankar Das. A Comparative Analysis of Domination Parameters and the Physicochemical Properties of Benzenoid Hydrocarbons. The European Physical Journal - Plus (EPJ Plus), Springer,  Volume 140, Issue no. 12, Page: 1-28, article number 1215, 2025, (Accepted on 26-November-2025). [DOI: https://doi.org/10.1140/epjp/s13360-025-07118-x]  - [eISSN: 2190-5444] - [Indexed in SCIE (Journal Citation Reports (JCR), I.F: 2.9 (2025), WoS, Q2), Scopus].

13. [J42] Biswaranjan Khanra and  Shibsankar Das. Max-min degree index of trees, unicyclic, bicyclic and chemical graphs. National Academy Science Letters,  published by the National Academy of Sciences, India & Springer, Volume ???, Page: ??-??, 2025, (Accepted on 25-November-2025). [DOI: https://doi.org/10.1007/s40009-025-01896-9] - [ISSN: 0250-541X, eISSN: 2250-1754] - [Indexed in SCIE (Journal Citation Reports (JCR), I.F.: 1.3 (2024), WoS), Q2, Scopus].

14. [J41] Jayjit Barman and Shibsankar Das. Chemical Applicability of the Hyperbolic Sombor Index. Chemical Physics Letters,  Elsevier, Volume 878, Page: 142340, 2025, (Accepted on 10-August-2025). [DOI: https://doi.org/10.1016/j.cplett.2025.142340] - [ISSN: 0009-2614, eISSN: 1873-4448] - [Indexed in SCIE (Journal Citation Reports (JCR), I.F.: 2.9 (2025), WoS), Q1, Scopus].

15. [J40] Shrikanth C. K., Shibsankar Das, Narahari Narasimha Swamy, Harini S, Syeda Ayesha Siddiqa. Reduced reverse topological indices and entropy measures of Tetracyanobenzene MOFs. Biointerface Research in Applied Chemistry, Volume 15, Issue no. 6, Page: 1-21, 2025, (Accepted on 03-August-2025). [DOI: https://doi.org/10.33263/BRIAC156.078]  - [ISSN: 2069-5837] - [Indexed in Scopus, Q2] 

16. [J39] Shibsankar Das and Jayjit Barman. On Closed Derivation Formulas over the M-polynomial for the Elliptic-type Indices of a Graph. Iranian Journal of Mathematical Chemistry (IJMC), Volume 16, Issue no. 4, Page: 291-312, 2025, (Accepted on 28-July-2025). [DOI: https://doi.org/10.22052/ijmc.2025.256243.1970]  - [ISSN: 1560-7534] - [Indexed in Scopus, ESCI (Web of Science), Q3] 

17. [J38] Shibsankar Das, Arti Kumari and Jayjit Barman. On Degree-Dependent Topological Study of the Line Graph of Some Antiviral COVID-19 Drugs. The European Physical Journal E (EPJ-E), Springer,  Volume 48,  Issue no. 6-7, article number: 39, Page: 1-26, 2025, (Accepted on 24-June-2025). [DOI: https://doi.org/10.1140/epje/s10189-025-00503-5]  - [eISSN: 1292-895X, ISSN: 1292-8941] - [Indexed in SCIE (Journal Citation Reports (JCR), I.F: 2.6 (2025), WoS, Q2), Scopus].

18. [J37] Shibsankar Das, Arti Kumari and Jayjit Barman. Degree-Based and Neighborhood Degree Sum-Based Entropy Measure of Molnupiravir. Scientific Annals of Computer Science (SACS), Volume 35, Issue no. 1, Page: 87-122, 2025, Alexandru Ioan Cuza University of Iaşi, (Accepted on 18-June-2025). [DOI: https://doi.org/10.47743/SACS.2025.1.87] - [eISSN: 2248-2695] - [Indexed in Web of Science (ESCI), Scopus, DBLP, Q3].

19. [J36] Jayjit Barman and Shibsankar Das. Co-odd Domination in Graphs. Contributions to Mathematics, Volume 11, Page: 36 - 44, 2025, (Accepted on 10-June-2025). [DOI: https://doi.org/10.47443/cm.2025.021] - [ISSN: 2709-3646] - [Indexed in ESCI].

20. [J35] Virendra Kumar, Shibsankar Das and Jayjit Barman. Neighborhood Degree Sum-based Entropy Measures of Some Silicon Carbide Networks. Journal of Chemical Sciences, published by the Indian Academy of Sciences (A Professional Autonomous body of the DST, India) & Springer,  Volume 137, Issue no. 4, article number: 123, Page: 1-35, 2025, (Accepted on 4-June-2025). [DOI: https://doi.org/10.1007/s12039-025-02418-2]  - [eISSN: 0973-7103] - [Indexed in SCIE (Journal Citation Reports (JCR), I.F: 1.8 (2025), WoS, Q3), Scopus].

21. [J34] Shikha Rai and Shibsankar Das. On Neighborhood Degree Sum-based Topological Indices of Molnupiravir. Communications in Combinatorics, Cryptography & Computer Science (CCCS), Volume 2024, Issue no. 2, Page: 263-272, 2025, (Accepted on 3-June-2025). [DOI: ]  - [eISSN: 783-5456].

22. [J33] Shibsankar Das and Biswaranjan Khanra. Max-min Degree Index of a Graph and Its Mathematical Relation With Other Topological Indices. Communications in Combinatorics and Optimization (CCO),  Azarbaijan Shahid Madani University, Volume -, Issue no. -, Page: ---, 2025, (Accepted on 1-June-2025). [DOI: https://doi.org/10.22049/cco.2025.30390.2450]  - [ISSN: 2538-2128, eISSN: 2538-2136] - [Indexed in ESCI (JCR Impact Factor: 0.8 (2023)), Q1, Scopus].

23. [J32] Biswaranjan Khanra and  Shibsankar Das. Extremal GQ Index of Trees, Unicyclic and Bicyclic Graphs. MATCH Communications in Mathematical and in Computer Chemistry,  Faculty of Science & University of Kragujevac, Volume 96, Issue no. 1, Page: 383-407, 2026, (Accepted on 29-May-2025). [DOI: https://doi.org/10.46793/match.96-1.06925]  - [ISSN: 0340-6253, eISSN: 3009-4399] - [Indexed in SCI (Journal Citation Reports (JCR), I.F: 2.4 (2024), WoS), Q1, Scopus].

24. [J31] Shibsankar Das and Arti Kumari. Degree-Based Coindices of Molnupiravir and Its QSPR Analysis With Other COVID-19 Drugs. International Journal of Applied and Computational Mathematics, Springer, Volume 11, Issue no. 3, Page: 1-23, article number 109, 2025, (Accepted on 21-April-2025). [DOI: https://doi.org/10.1007/s40819-025-01917-7]  - [ISSN: 2349-5103 (print), 2199-5796 (electronic)] - [Indexed in Scopus, Q1].

25. [J30] Jayjit Barman and Shibsankar Das. Geometric Approach to Degree-Based Topological Index: Hyperbolic Sombor Index. MATCH Communications in Mathematical and in Computer Chemistry,  Faculty of Science & University of Kragujevac, Volume 95, Issue no. 1, Page: 63-94, 2026, (Accepted on 17-March-2025). [DOI: https://doi.org/10.46793/match95-1.03425] - [ISSN: 0340-6253, eISSN: 3009-4399] - [Indexed in SCI (Journal Citation Reports (JCR), I.F: 2.4 (2024), WoS), Q1, Scopus].

26. [J29] Biswaranjan Khanra and  Shibsankar Das. Euler Sombor Index of Trees, Unicyclic and Chemical Graphs. MATCH Communications in Mathematical and in Computer Chemistry,  Faculty of Science & University of Kragujevac, Volume 94, Issue no. 2, Page: 525-548, 2025, (Accepted on 05-March-2025). [DOI: https://doi.org/10.46793/match.94-2.525K]  - [ISSN: 0340-6253, eISSN: 3009-4399] - [Indexed in SCI (Journal Citation Reports (JCR), I.F: 2.4 (2024), WoS), Q1, Scopus].

27. [J28] Shibsankar Das and Virendra Kumar. Chemical Applicability of GQ and QG Indices of a Graph and Their Bounds. Ars Combinatoria,  Volume 162, Page: 123-148, 2025, (Accepted on 22-February-2025). [DOI: https://doi.org/10.61091/ars162-10]  - [ISSN: 0381-7032 (print), 2817-5204 (online)] - [Indexed in Scopus, Q4].

28. [J27] Virendra Kumar and Shibsankar Das. The Nordhaus-Gaddum-type Inequalities for the Nirmala Indices. Turkish World Mathematical Society (TWMS) Journal of Applied and Engineering Mathematics,  Volume 15, Issue no. 1, Page: 120-136, 2025, (Accepted on 19-March-2024). [DOI: https://doi.org/]  - [ISSN: 2146-1147] - [Indexed in ESCI (WoS), Scopus, Q3].

29. [J26] Virendra Kumar and Shibsankar Das. Comparative Study Between Nirmala and Sombor Indices Based on Their Applicability, Degeneracy and Smoothness. The European Physical Journal - Plus (EPJ Plus), Springer,  Volume 139, Issue no. 11, Page: 1-22, article number 995, 2024, (Accepted on 21-October-2024). [DOI: https://doi.org/10.1140/epjp/s13360-024-05768-x]  - [eISSN: 2190-5444] - [Indexed in SCIE (Journal Citation Reports (JCR), I.F: 2.9 (2024), WoS, Q1), Scopus].

30. [J25] Shibsankar Das, Virendra Kumar and Jayjit Barman. Geometric-Quadratic and Quadratic-Geometric Indices-based Entropy Measures of Silicon Carbide Networks. Silicon. Springer,  Volume 17, Issue no. 1, Page: 75–91, 2025, (Accepted on 08-October-2024). [DOI: https://doi.org/10.1007/s12633-024-03173-8]  - [ ISSN: 1876-9918] - [Indexed in SCIE (Journal Citation Reports (JCR), I.F: 3.3 (2024), WoS, Q1), Scopus].

31. [J24] Virendra Kumar and Shibsankar Das. A Novel Approach to Determine the Sombor-type Indices via M-polynomial. Journal of Applied Mathematics and Computing (JAMC), Springer,  Volume 71, Issue no. 1, Page: 983–1007, 2025, (Accepted on 03-October-2024). [DOI: https://doi.org/10.1007/s12190-024-02272-4]  - [ ISSN: 1865-2085] - [Indexed in SCIE (Journal Citation Reports (JCR), I.F: 2.7 (2024), WoS, Q1), Scopus].

32. [J23] Shibsankar Das and Modhuleena Mandal. Deriving M-polynomial Based Topological Descriptors of Oral Antiviral Clinical Drug Nirmatrelvir. Scientific Annals of Computer Science (SACS), Volume 34, Issue no. 2, Page: 113-138, 2024, Alexandru Ioan Cuza University of Iaşi, (Accepted on 16-September-2024). [DOI: https://doi.org/10.47743/SACS.2024.2.113] - [eISSN: 2248-2695] - [Indexed in Web of Science (ESCI), Scopus, DBLP, Q3].

33. [J22] Shibsankar Das and Virendra Kumar. Neighborhood Degree Sum-based Molecular Indices and Their Comparative Analysis of Some Silicon Carbide Networks. Physica Scripta,  Volume 99, Issue no. 5, Page: 055941, 2024, (Accepted on 21-March-2024). [DOI: https://doi.org/10.1088/1402-4896/ad3682]  - [ ISSN: 1402-4896] - [Indexed in SCI (Journal Citation Reports (JCR), I.F: 2.6 (2024), WoS, Q1), Scopus].

34. [J21] Virendra Kumar and  Shibsankar Das. On Structure Sensitivity and Chemical Applicability of Some Novel Degree-Based Topological Indices. MATCH Communications in Mathematical and in Computer Chemistry,  Faculty of Science & University of Kragujevac, Volume 92, Issue no. 1, Page: 165-203, 2024, (Accepted on 22-January-2024). [DOI: https://doi.org/10.46793/match.92-1.165K]  - [ISSN: 0340-6253, eISSN: 3009-4399] - [Indexed in SCI (Journal Citation Reports (JCR), I.F: 2.9 (2023), WoS), Q1, Scopus].

35. [J20] Shibsankar Das and Shikha Rai. M-polynomial Based Mathematical Formulation of the (a,b)-Nirmala Index and Its Bounds. Palestine Journal of Mathematics (PJM), Volume 13, Issue no. 4, Page: 1376–1389, 2024, (Accepted on 10-January-2024). [ISSN: 2219-5688] - [Indexed in American Math Reviews, Scopus, Q4].

36. [J19] Virendra Kumar and  Shibsankar Das. Comparative Study of GQ and QG Indices as Potentially Favorable Molecular Descriptors. International Journal of Quantum Chemistry (IJQC), Wiley, Volume 124, Issue no. 3, Page: e27334, 2024, (Accepted on 12-Dec-2023). [DOI: https://doi.org/10.1002/qua.27334]  - [Online ISSN: 1097-461X] - [Indexed in SCI / SCIE (Journal Citation Reports (JCR), I.F: 2.3 (2024), WoS, Q2), Scopus].

37. [J18] Shikha Rai and Shibsankar Das. Comparative Analysis of M-polynomial Based Topological Indices Between Poly Hex-derived Networks and Their Subdivisions. Proyecciones Journal of Mathematics, Volume 43, Issue no. 1, Page: 69 - 102, 2024, Departamento de Matematicas, Universidad Catolica del Norte, (Accepted on 09-October-2023). [DOI: https://doi.org/10.22199/issn.0717-6279-5843] - [eISSN: 0717-6279] - [Indexed in Scopus, MathSciNet, Q3].

38. [J17] Virendra Kumar and  Shibsankar Das. On Nirmala Indices-Based Entropy Measures of Silicon Carbide Network. Iranian Journal of Mathematical Chemistry (IJMC), Volume 14, Issue no. 4, Page: 271-288, 2023, (Accepted on 9-Dec-2023). [DOI: https://doi.org/10.22052/ijmc.2023.252742.1704]  - [ISSN: 1560-7534] - [Indexed in Scopus, ESCI (Web of Science), Q2].

39. [J16] Shikha Rai and Shibsankar Das. On Nirmala Indices of Some Hex-derived Networks of Type Three and Their Subdivision Networks. Scientific Annals of Computer Science (SACS), Volume 33, Issue no. 2, Page: 193 - 242, 2023, Alexandru Ioan Cuza University of Iaşi, (Accepted on 05-October-2023). [DOI: https://doi.org/10.7561/SACS.2023.2.193] - [eISSN: 2248-2695] - [Indexed in Web of Science (ESCI), Scopus, DBLP, Q3].

40. [J15] Shibsankar Das, Shikha Rai and Virendra Kumar. On Topological Indices of Molnupiravir and Its QSPR Modelling With Some Other Antiviral Drugs to Treat COVID-19 Patients. Journal of Mathematical Chemistry (JOMC), Springer,  Volume 62, Issue no. 10, Page: 2581–2624, 2024 (Accepted on 04-Sept.-2023).  Published by Springer Nature Switzerland AG (DOI:- https://doi.org/10.1007/s10910-023-01518-z). [Online ISSN / eISSN: 1572-8897]-[Indexed in SCI / SCIE (Journal Citation Reports (JCR), I.F: 2.0 (2024), WoS), Q2,  Scopus].

41. [W2] Shibsankar Das and Shikha Rai. On the Neighborhood Degree Sum-based Topological Indices of the Oral Antiviral Drug Molnupiravir for COVID-19. In 2023 Ural Workshop on Group Theory and Combinatorics jointly organized by the Institute of Natural Sciences and Mathematics of the Ural Federal University, N.N. Krasovskii Institute of Mathematics and Mechanics UB RAS, and The Ural Mathematical Center, August 21-27, 2023.

42. [J14] Shibsankar Das and Shikha Rai. On Closed Derivation Formulas of Nirmala Indices from the M-polynomial of a Graph. Journal of the Indian Chemical Society, Elsevier, Volume 100, Issue no. 6, Page: 101017, 2023 (Accepted on 27-Apr.-2023).  Indian Chemical Society. Published by Elsevier B.V. (DOI:- https://doi.org/10.1016/j.jics.2023.101017). [Online ISSN / eISSN: 2667-2847]-[Indexed in SCI-Expanded (Journal Citation Reports (JCR), I.F: 3.2 (2024), WoS), Q2, Scopus, Chemical Abstracts, Q3].

43. [C] Shibsankar Das, Shikha Rai and Modhuleena Mandal. On Algebraic Polynomial Based Topological Study of an Oral Antiviral Drug Molnupiravir Used in the Treatment of COVID-19. In 5th Regional Science & Technology Congress (RSTC) (Region-3) jointly organized by the Department of Science and Technology and Biotechnology (DSTBT), Government of West Bengal and West Bengal State University, Barasat, 19-20 January 2023.

44. [P5] Shibsankar Das and Shikha Rai. Computational Analysis of Topological Indices for Hex-derived Networks of Type 3 and Their Subdivisions. In: International Conference on "Advances in Software Engineering and Information Technology" (ICASIT-2022), Mumbai, India, July 5, 2022. GRENZE International Journal of Engineering and Technology, Vol. 8 (2), Pages: 1162-1169, 2022. [Grenze ID: 01.GIJET.8.2.545, DOI:-]. [Print ISSN: 2395-5287, Online ISBN: 2395-5295]-[Indexed in Scopus].

45. [J13] Shibsankar Das and Shikha Rai. On the Hosoya Polynomial of the Third Type of Chain Hex-derived Network. Journal of the Belarusian State University. Mathematics and Informatics, Volume 3 (2022), Page: 67 – 78, (Accepted on 21-Oct.-2022). (DOI:-https://doi.org/10.33581/2520-6508-2022-3-67-78) [ISSN / eISSN: 2520-6508 / 2617-3956]-[Indexed in Scopus, ESCI (WoS), Mathematical Reviews, Q3].

46. [J12] Shibsankar Das, Utkarsh Mishra and Shikha Rai. On Two-Stepwise Irregular Graphs. Scientia Iranica, Transactions D: Computer Science & Engineering and Electrical Engineering, Volume 30, Issue no. 3, Page: 1049 – 1057, 2023 (Accepted on 28-Nov.-2022).  Sharif University of Technology. (DOI:- https://doi.org/10.24200/sci.2022.57725.5388). [ISSN / eISSN: 1026-3098 / 2345-3605]-[Indexed in SCI-Expanded (Journal Citation Reports (JCR), I.F: 1.9 (2024)), Q2, Scopus].

47. [J11] Shibsankar Das, Shikha Rai and Modhuleena Mandal. M-Polynomial and Correlated Topological Indices of Antiviral Drug Molnupiravir used as a Therapy for COVID-19. Polycyclic Aromatic Compounds, Taylor & Francis, Volume 43, Issue no. 8, Page: 7027 – 7041, 2022 (Accepted on 21-Sept.-2022, Published online on 13-Oct.-2022).  Taylor & Francis Online. (DOI: https://doi.org/10.1080/10406638.2022.2131854). [Online ISSN: 1563-5333 ]-[Indexed in SCI-Expanded (Journal Citation Reports (JCR), I.F: 2.5 (2024)), Q2, Scopus].

48. [Chapters Contributed in an Edited Book/Volume with Wiley India Pvt. Ltd] Contributed additional content and problems with solutions for the development of one chapter and one new appendix in the book “Elementary Differential Equations and Boundary Value Problems, 12th Edition by William E. Boyce, Richard C. DiPrima, Douglas B. Meade (9781119820512)” which is the International Adaptation of the book “Elementary Differential Equations and Boundary Value Problems, 12th Edition by William E. Boyce, Richard C. DiPrima, Douglas B. Meade (9781119777694)”, July 2022.

49. [J10] Shibsankar Das and Virendra Kumar. Investigation of Closed Derivation Formulas for GQ and QG Indices of a Graph via M-polynomial. Iranian Journal of Mathematical Chemistry (IJMC), Volume 13, Issue no. 2, Pages 129 - 144, 2022, (Accepted on 13-May-2022). [DOI: https://doi.org/10.22052/ijmc.2022.246172.1614]  - [ISSN: 1560-7534] - [Indexed in Scopus, ESCI (Web of Science), Q2].

50. [J9] Shibsankar Das and Shikha Rai. On M-polynomial and Associated Topological Descriptors of Subdivided Hex-derived Network of Type Three. Journal of Computational Technologies, Volume 27, Issue no. 4, Pages 84 - 97, 2022, (Accepted on 28-Mar-2022). [DOI:https://doi.org/10.25743/ICT.2022.27.4.007]  - [ISSN: 1560-7534] - [Indexed in Scopus, AMS MathSciNet, Q4].

51. [C] Shibsankar Das. Deriving Topological Descriptors Of The Type-3 Rectangular Hex-Derived Network Via M-Polynomial. In the International Conference on Algebra and Discrete Mathematics (ICADM-2022), organized by the Department of Mathematics, Fatima Mata National College (Autonomous), Kollam, Kerala, India, during March 14-15, 2022. 

52. [J8] Shibsankar Das and Shikha Rai. Degree-based Topological Descriptors of Type 3 Rectangular Hex-derived Networks. Bulletin of the Institute of Combinatorics and its Applications (BICA), Volume 95, Pages 21 - 37, 2022, (Accepted on 01-Feb-2022).- [ISSN: 2689-0674 (Online)] - [Indexed in  Scopus, Q2].

53. [P4] Shikha Rai and Shibsankar Das. M-polynomial and Degree-Based Topological Indices of Subdivided Chain Hex-Derived Network of Type 3. In: Woungang I., Dhurandher S.K., Pattanaik K.K., Verma A., Verma P. (eds) Advanced Network Technologies and Intelligent Computing. ANTIC 2021. Communications in Computer and Information Science (CCIS), Vol. 1534, Chapter 33, Pages: 410-424, 2022. Springer, Cham. [DOI: https://doi.org/10.1007/978-3-030-96040-7_33]. [Print ISSN: 1865-0929, Online ISBN: 978-3-030-96040-7]-[Indexed in DBLP, Google Scholar, Mathematical Reviews, Scopus, Q4].

54. [J7] Shibsankar Das and Virendra Kumar. On M-Polynomial of the Two-dimensional Silicon-Carbons. Palestine Journal of Mathematics, Volume 11, Issue no. Special Issue II, Pages 136 - 157, 2022, (Accepted on 14-September-2021). [ISSN: 2219-5688] - [Indexed in American Math Reviews, Scopus, Q4].

55. [C] Shibsankar Das and Shikha Rai. Deriving Topological Indices of the Third Type of Hex-derived Network via M-polynomial. In the National Symposium on Mathematics and Applications (NSMA-2021), organized by the Department of Mathematics,  IIT Madras, on December 22, 2021. 

56. [J6] Shibsankar Das and Shikha Rai. Topological Characterization of the Third Type of Triangular Hex-derived Networks. Scientific Annals of Computer Science, Volume 31, Issue no. 2, Pages 145 - 161, 2021, Alexandru Ioan Cuza University of Iaşi, (Accepted on 08-November-2021). [DOI: https://doi.org/10.7561/SACS.2021.2.145] - [eISSN: 2248-2695] - [Indexed in Web of Science (ESCI), Scopus, SCImago, DBLP, Q3].

57. [C] Shikha Rai and Shibsankar Das. M-polynomial and Degree-based Topological Indices of Subdivided Chain Hex-derived Network of Type 3. In the International Conference on Advanced Network Technologies and Intelligent Computing (ANTIC-2021) at Department of Computer Science, Banaras Hindu University, Varanasi - 221005, Uttar Pradesh, India,  December 17-18, 2021. 

58. [C] Virendra Kumar and Shibsankar Das. M-Polynomial of 2-dimensional Silicon Carbons. In the International E-Conference on Pure and Applied Mathematical Sciences (ICPAMS-2021) during 7-10 June 2021.

59. [C] Shikha Rai and Shibsankar Das. Topological characterization of subdivided Hex-derived network of type 3. In the 26th International Conference of International Academy of Physical Sciences (CONIAPS XXVI-2020) on “Advances in Algebra and Analysis” organized at Marwadi University, Rajkot, Gujarat during 18th – 20th December 2020.

60. [J5] Shibsankar Das and Shikha Rai. M-polynomial and related degree-based topological indices of the third type of chain Hex-derived network. Malaya Journal of Matematik (MJM), Volume 8, Issue no. 4, Pages 1842 – 1850, November 2020. University Press [DOI: https://doi.org/10.26637/MJM0804/0085]- [ISSN: 2319-3786]-[Indexed in AMS-MathSciNet, UGC-Care, Q4].

61. [W1] Shibsankar Das and Shikha Rai. Computation of various degree-based topological indices of the third type of triangular Hex-derived network of dimension n by using M-polynomial. In 2020 Ural Workshop on Group Theory and Combinatorics jointly organized by Institute of Natural Sciences and Mathematics of the Ural Federal University, N.N. Krasovskii Institute of Mathematics and Mechanics UB RAS, and The Ural Mathematical Center, August 24-30, 2020.

62. [J4] Shibsankar Das. A Modified Decomposition Algorithm for Maximum Weight Bipartite Matching and Its Experimental Evaluation. Scientific Annals of Computer Science, Volume 30, Issue no. 1, Pages 39 – 67, (June 25) 2020, Alexandru Ioan Cuza University of Iaşi. [DOI: https://doi.org/10.7561/SACS.2020.1.39]-[eISSN: 2248-2695]-[Indexed in Web of Science (ESCI), Scopus, SCImago, DBLP, Q3].

63. [J3] Shibsankar Das. An Optimum Lower Bound for the Weights of Maximum Weight Matching in Bipartite Graphs. Scientific Annals of Computer Science, Volume 30, Issue no. 1, Pages 25 – 37, (June 4) 2020, Alexandru Ioan Cuza University of Iaşi. [DOI: https://doi.org/10.7561/SACS.2020.1.25]- [eISSN: 2248-2695]-[Indexed in Web of Science (ESCI), Scopus, SCImago, DBLP, Q3].

64. [C] Shikha Rai and Shibsankar Das. Computing Hosoya Polynomial and the Related Distance-based Topological Indices of the Third Type of Chain Hex-derived Network. In Five days Online International Conference on Recent Trends in Mathematics and Its Applications to Graphs, Networks and Petri Nets (ICRTMA-GPN-2020) jointly organized by School of Computational & Integrative Sciences, JNU and Vijana Parisad of India (Society for Applications of Mathematics), July 20-24, 2020.

65. [C] Shibsankar Das. Study of Properties of Error Classes in Approximate Parameterized String Matching Problem by Using Matching in Bipartite Graphs. In Five days Online International Conference on Recent Trends in Mathematics and Its Applications to Graphs, Networks and Petri Nets (ICRTMA-GPN-2020) jointly organized by School of Computational & Integrative Sciences, JNU and Vijana Parisad of India (Society for Applications of Mathematics), July 20-24, 2020.

66. [J2] Shibsankar Das and Shikha Rai. M-polynomial and Related Degree-based Topological Indices of the Third Type of Hex-derived Network. Nanosystems: Physics, Chemistry, Mathematics, Volume 11, Issue no. 3, Pages 267 – 274, June 2020. [DOI: https://doi.org/10.17586/2220-8054-2020-11-3-267-274]- [ISSN: 2220-8054]-[Indexed in Scopus, Web of Science (ESCI), MathSciNet, Q4]. (Ac.cepted on 30-April-2020).

67. [C] Shibsankar Das. A Tight Lower Bound for the Weights of Maximum Weight Matching in Bipartite Graphs. In 4th Regional Science & Technology Congress (RSTC) (Southern Region) jointly organized by Department of Science and Technology and Biotechnology (DSTBT), Government of West Bengal and Maulana Abul Kalam Azad University of Technology (MAKAUT), West Bengal, Haringhata, Nadia at the Main Campus of MAKAUT, West Bengal, Haringhata, Nadia, 23rd-24th December, 2019.

68. [P3] Shibsankar Das and Utkarsh Mishra. Calculation of Various Irregularity Indices for Stepwise Irregular Complete Bipartite Graph. In Proceedings of (the 34th Annual Conference of ) The Mathematical Society - Banaras Hindu University on"Emerging Trends in Combinatorics and Its Application" at Department of Mathematics, BHU, Varanasi during Feb. 22-23, 2019. Volume 34 (2018): 1-4 [ISSN: 0970-7080].

69. [P2] Shibsankar Das. A Filtering Technique for All Pairs Approximate Parameterized String Matching. In 4th International Conference on Mathematics and Computing (ICMC 2018) at Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi - 221005, Uttar Pradesh, India,  January 09-11, 2018. Communications in Computer and Information Science (CCIS) conference proceedings series. Volume 834: 97-109, Chapter 10. Springer International Publishing, April 2018. (DOI: https://doi.org/10.1007/978-981-13-0023-3_10). [Print ISBN: 978-981-13-0022-6, Online ISBN: 978-981-13-0023-3, Electronic ISSN: 1865-0937 , Print ISSN: 1865-09]-[Indexed in Scopus, Q3]

70. [J1] Shibsankar Das, Kalpesh Kapoor. Weighted Approximate Parameterized String Matching. AKCE International Journal of Graphs and Combinatorics, Volume 14, Issue no. 1, Pages 1 – 12, April 2017.  Elsevier. (DOI: http://dx.doi.org/10.1016/j.akcej.2016.11.010). [ISSN: 0972-8600 ]-[Indexed in SCI-Expanded (Journal Citation Reports (JCR), I.F: 1.0 (2023)), Web of Science (ESCI), Scopus, MathSciNet, Q3]

71. [C] Shibsankar Das: An Efficient Reduction of Weighted Approximate Parameterized String Matching Problem to Maximum Weight Bipartite Matching Problem. In International Conference of The Indian Mathematics Consortium (TIMC) in cooperation with American Mathematical Society (AMS) at DST-Centre for Interdisciplinary Mathematical Sciences Banaras Hindu University, Varanasi-221005, December, 14-17, 2016.

72. Shibsankar Das. Experimental Evaluation of Modified Decomposition Algorithm for Maximum Weight Bipartite Matching. CoRR abs/1605.06989. 2016.

73. Shibsankar Das. A Tight Lower Bound for the Weights of Maximum Weight Matching in Bipartite Graphs. CoRR abs/1605.00406. 2016.

74. [C] Shibsankar Das, Kalpesh Kapoor. Approximate Parameterized String Matching under Weighted Hamming Distance. In The International Conference On Theoretical Computer Science And Discrete Mathematics (ICTCSDM) organized by the SSN College of Engineering, Chennai, India, December 8-10, 2014.

75. [P1] Shibsankar Das, Kalpesh Kapoor. Fine Tuning Decomposition Theorem for Maximum Weight Bipartite Matching. In Annual Conference on Theory and Applications of Models of Computation (TAMC) 2014. Springer International Publishing. Lecture Notes in Computer Science (LNCS) 8402:312-322. April, 2014. (DOI: https://doi.org/10.1007/978-3-319-06089-7_22). [ Print ISBN 978-3-319-06088-0, Online ISBN 978-3-319-06089-7]-[Indexed in Scopus, Q2]

76. Shibsankar Das, Jan Holub, and Kalpesh Kapoor. All pairs approximate parameterized string matching. Technical Report FIT-2014-01, Department of Theoretical Computer Science, Faculty of Information Technology, Czech Technical University in Prague, Czech Republic. March, 2014.

77. [C] Sujit Das, Vijay Das, Shibsankar Das and Prof. S. Sundar. In A Computational Dynamic Channel Allocation Technique in Telephone Network, in CMASM 2007–FIM XIV (Fourteenth International Conference of the Forum for Interdisciplinary Mathematics) at I.I.T. Madras and Stella Maris College Chennai, January 6-8, 2007. 

Research Students

Post-Doctoral Fellow Mentored

• • Dr. Biswaranjan Khanra (Raja Jwala Prasad Post-Doctoral Fellow (RJP-PDF) for the Raja Jwala Prasad Post-Doctoral Fellowship Programme under the Institute of Eminence (IoE) Scheme of Banaras Hindu University. ) (Completed <<14 Nov, 2024 - 13 Nov, 2025>>)

Ph.D. Students Supervised

1. Dr. Shikha Rai [18619MAT018] (Completed: 2022 <<September 2018 - December 2022>>, <<Submitted: 12-December-2022 & Defended: 6-September-2023>>)(Title: Topological Characterization of Hex-derived Networks of Type Three and Molnupiravir)

2. Dr. Virendra Kumar [19619MAT015] (Completed: 2025 <<February, 2020 (Term: September 2019) - January 2025>><<Submitted: 15-January-2025 & Defended: 8-September-2025>>) (Title: Study of Some Graph Invariants-based Novel Molecular Descriptors and Their Importance in QSPR Analysis)

3. Mr. Jayjit Barman [22619MAT023] (Ongoing <<July, 2022 -   >>)

4. Ms. Shahzadi Nargis [23619MAT007](Ongoing <<1st July, 2024 (Term: July 2023) -   >>)

5. Ms. Tamanna  (Ongoing <<15th April, 2025 (July, 2024) -   >>)

6. Ms. Neelam  (Ongoing <<March, 2026 -   >>)

DST-SERB Project Fellow Mentored

• • Ms. Arti Kumari (Junior Research Fellow)

  • Ms. Neelam  (Junior Research Fellow)  (<<3rd October 2023 - 25 April 2025 >>)

M.Sc. Students (Project) - DST-Centre for Interdisciplinary Mathematical Sciences (CIMS), I.Sc., B.H.U.

1. Amit Jaiswal [19419MAC001] (<<January-July, 2021>>)

2. Mithlesh Chauhan [19419MAC004] (<<January-July, 2021>>)

3. Amal Let [19419MAC010] (<<January-July, 2021>>)

4. Tipu Sultan [19419MAC042] (<<January-July, 2021>>)

5. Anshul Kumar Singh [18419MAC012] (<<January-August, 2020>>) 

6. Vishal Panchal [18419MAC017] (<<January-August, 2020>>)

7. Divya Singh [18419MAC031] (<<January-August, 2020>>) 

Editorial Board Member

• Medicon Engineering Themes (March 22, 2022 - Present).

• International Journal of Discrete Mathematics (March 24, 2020 - Present).

Reviewer for Journals / Books

• PLOS One 

• Scientific Reports

• Physica Scripta

• Journal of Applied Mathematics and Computing (JAMC) 

• Electronic Journal of Graph Theory and Applications (Publisher: Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung (ITB) Indonesia, Indonesian Combinatorial Society (InaCombS), and GTA Research Group, the University of Newcastle, Australia.)

• Journal of Scientific Research of the Banaras Hindu University (JSR-BHU) 

• Polycyclic Aromatic Compounds (Publisher: Taylor & Francis)

• The European Physical Journal Plus (Publisher: Springer)

• TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS (TWMS J. App. Eng. Math.) 

• South East Asian Journal of Mathematics and Mathematical Sciences (Publisher: Ramanujan Society of Mathematics and Mathematical Sciences)

• Reviewed & Chapters Contributed in an Edited Book/Volume with Wiley India Pvt. Ltd. 

• Mathematics (MDPI)

• 3rd International Conference on Advanced Network Technologies and Intelligent Computing (ANTIC-2023), for publication in the Communications in Computer and Information Science (CCIS) series of Springer [SCOPUS Indexed]. 

• Proceedings of the National Academy of Sciences, India Section A: Physical Sciences (Publisher: Springer)

• The Journal of Supercomputing (Publisher: Springer)

• Inorganic and Nano-Metal Chemistry (Publisher: Taylor & Francis Online)

• Scientific Reports (Publisher: Nature)

PhD Thesis Evaluated:

• 01 (One)

My Ph.D. Thesis

• On Approximate Parameterized String Matching and Related Problems. (Supervisor: Prof. Kalpesh Kapoor)

My Masters' Thesis

• [During M.Tech.]: Design of MST Based Clustering Algorithm. (Supervisor: Prof. Prasanta K. Jana)

• [During M.Sc.]: A Graphical User Interface Based Software Model of Dynamic Channel Allocation Technique in Telephone Network. (Supervisor: Prof. S. Sundar)