Some of the Significant research publications are listed:

1. Purely imaginary roots of Kac Moody algebras, Communications in Algebra, Vol.24, (1996)(a), 677-693.

2. Root multiplicities of extended hyperbolic Kac Moody algebras, Communications in Algebra, Vol.24, (1996)(b), 4495-4512.

3. Extended hyperbolic Kac Moody algebras EHA2(2): Structure and root multiplicities, Communications in Algebra, Vol.32, 2004, 2457-2476.

4. Root multiplicities of some classes of extended hyperbolic Kac Moody and extended hyperbolic generalized Kac Moody algebras, Contemporary Mathematics (American Mathematical Society), Vol.343, 2004, 315-347.

5. A study on Dynkin Diagrams of Quasi Hyperbolic Kac Moody Algebras, Proceeding of the International Conference on Mathematics and Computer Application ICMCS2011, ISBN: 978-81-920490-0-7, 2011, 115-119.

6. Structure and Root Multiplicities for two classes of extended hyperbolic Kac-Moody algebras   EHA1(1) and EHA2(2) for all cases, Communications in Algebra, Vol. 40, Issue 2, 2012, 632-665.

7. Fuzzy decomposition on the affine   Kac-Moody algebras, International Journal of Pure and Applied Mathematics, Vol.80, No. 1, 2012, 75-91

8. Fuzzy properties on finite type of Kac-Moody algebras, Eco Friendly Computing & Communication System ICECCS 2012, Communication in Computer & Information science CCIS305, Springer-Verlag, Berlin Heidelberg, ISBN: 9783642321122, Vol-1, 2012, 352–363

9. On Fuzzy Soft   Right Ternary Near-rings, International Journal of Computer Applications, ISSN:0975-8887, Vol. 57 (6), 2012, 26 – 33.

10. A Fuzzy Mathematical Model for Multi Criteria Group Decision Making- An Application in Supply Chain Management, International Journal of Computer applications, Vol. 54, No.7, 2012, 5 - 10.

11. Fuzziness on the root system of finite type of Kac Moody Algebras, Proceedings on the International Conference on Mathematical Modeling and Applied Soft Computing, ISBN: 978-81-92375, Vol- 1, 2012, 555 – 559.

12. Fuzziness on hyperbolic Kac-Moody algebras HG2, Mathematical Sciences International Research Journal, ISSN : 227 – 8697, Vol.1, No. 2, 2012, 628 - 641.

13. Fuzzy Decomposition on the Affine  Kac-Moody Algebra (1) (1)(1)(1)(1)F4, E6, E7, E8 & G2, International Journal of Scientific & Engineering Research, ISSN: 2229-5518, Vol.3, Issue: 7, 2012, 1-7.

14.  Some properties of Fuzzy Sets on Finite Type of Kac-Moody Algebra G2, International Journal of Computer Applications, ISSN: 0975-887, Vol.6 (2), No.7, 2013, 26-30.

15. Fuzzy Soft Prime Ideals over Right Ternary Near-rings, International Journal of Pure and Applied Mathematics, ISSN:1311-8080, Vol.85(3), 2013, 507-529

16. Quasi-ideals and   Bi-ideals of a Right Ternary Near-ring, International Journal of Scientific and Engineering Research, ISSN: 2229-5518, Vol.4 (5), 2013, 1406- 1412.

17. Fuzzy  Soft  Quasi-Ideals and   Bi-Ideals   over   a Right Ternary Near-Ring, International Journal of Mathematical Sciences, ISSN:2051-5995, Vol.33 (1), 2013, 1140 -1153.

18. A Performance Appraisal Model Using Fuzzy Multi Criteria  Group  Decision Making, International Journal of Scientific and Engineering Research, ISSN 2229-5518, Vol.4, Issue 5, 2013, 442-449.

19. Imaginary Roots and Dynkin Diagrams of Quasi Hyperbolic Kac-Moody Algebras of Rank 3, International Journal of Mathematics and Computer Applications Research, ISSN:2249- 6955, Vol.4, Issue 2, 2014, 19-28.

20. Quasi-Affine Kac Moody Algebras: Classification of Dynkin Diagrams & Realization for a Class of QAG2(1), International Journal of Mathematical Sciences, ISSN: 2051-5995, Vol 34, Issue 2, 2014, 1590-1609.

21. A Study on the Structure of Indefinite Quasi-Affine Kac-Moody Algebras QAC(1)2, International Mathematical Forum, HIKARI Ltd, ISSN: 1314-7536, Vol. 9, No. 32, 2014, 1595–1609.

22. Structure of the Indefinite Quasi-Hyperbolic Kac- Moody Algebras QHA4 (2), International Mathematical Forum, HIKARI Ltd, ISSN: 1314-7536, Vol.9, No.31, 2014, 1495-1507.

23. A Study on the Structure of Indefinite Non- Hyperbolic Kac-Moody Algebras QHA7(2), International Journal of Mathematical sciences ISSN: 2051- 5995, Vol.34, Issue 2, 2014,1639-1648.

24. A Study on the Structure of  Right  Ternary  N-  groups, International Journal of Mathematics & Computer Applications Research, ISSN(E):2249- 8060, Vol.4 (3), 2014, 17-32.

25.  An Insight into Right Ternary Near-Rings, International Journal of Mathematical Sciences, ISSN (E): 2051-5995, Vol.34 (1), 2014, 1426-1438. 

26. Fuzzy TOPSIS and fuzzy VIKOR Methods using the triangular fuzzy hesitant sets, International Journal of Computer Science Engineering and  Information Technology Research, ISSN 2249-6831, Vol.4 Issue 3, 15-24, 2014

27. Fuzzy SWOT-analysis Using Generalized Trapezoid Fuzzy Linguistic Heronian Mean Operator, International Journal of Mathematical Archive, ISSN(P): 2229- 5046, Vol 5, Issue 10, 2014, 126-138, 2014

28. The Trapezoid Fuzzy Prioritized Operators and their Applications in Group Decision Making, International Journal of Innovative Research in Science, Engineering and Technology, ISSN: 2319- 8753, Vol.3, Issue 1, 8178-8194, 2014

29. A New approach to group Decision Making with Interval valued Intuitionistic Fuzzy Prioritized Operators, International Journal of Advanced Scientific & Technical Research, ISSN: 2259- 9954, Vol.3, Issue 4, 378-394, 2014

30. Multi-Criteria Decision Making Under Hesitant Fuzzy Environment, International Journal of Mathematics and Computer Applications Research,  ISSN(P):224 9-6955, Vol.4, Issue 2, 89-102, 2014

31. Interval-Valued Intuitionistic Hesitant Fuzzy Weighted Einstein Arithmetic Aggregation Operators, International Journal of Emerging Trends in Engineering and Development, ISSN 2249- 6149, Vol.3, Issue 4, 657-670, 2014

32. Interval-Valued Intuitionistic Hesitant Fuzzy Einstein Geometric Aggregation Operators, International Journal of Computer Science     &  Engineering,  ISSN(E): 2347-2693, Vol.3 , Issue 3, 125-140, 2014

33. A New Modulo n Multiplication Algorithm with Moderate Factor of (2n + 2) And (2n + 6), International Journal of Computer Science and Information Technology  Research,  ISSN(P): 2249- 6831, ISSN(E) : 2249-7943, Vol 4, Issue 2, 177-184, 2014

34. A Study on the Structure of a Class of Indefinite Non-Hyperbolic Kac-Moody Algebras QHG2, International Journal of Mathematics and Computer Applications Research, ISSN(P):2249- 6955, Vol.4, Issue. 4, 97-110, 2014

35. On the Structure of Indefinite Quasi-Hyperbolic Kac- Moody   Algebras  QHA2 (1) , International Journal of  Algebra, Hikari ltd, ISSN: 1312-8868, Vol.8, No.11, 517-528, 2014

36. Structure Of Indefinite Quasi-Affine Kac-Moody Algebras QAD3(2), International Journal of Pure And Applied Mathematics, ISSN:1311- 8080, Vol.102, No. 1, 57-72, 2015

37. A   Study   on  the   Quasi-Hyperbolic Algebra QHA5 (2) , International Journal of Pure and Applied Mathematics, ISSN: 1314-3395, Vol.102, No.1, 23-38, 2015

38. A fuzzy approach on the root system of finite type of Kac-Moody algebra F4, International Journal of Pure and Applied Mathematics, ISSN: 1314-3395, Vol.101,No.6, 851-861, 2015

39. On fuzzy soft similarity and Congruence relations, International Journal of Pure and Applied Mathematics, ISSN(P):1311-8080, Vol.101(5), 667-676, 2015

40. On a class of quasi Hyperbolic Kac Moody algebras of rank 11, Engineering Sciences International Research Journal,  ISSN: 2320- 4338, Vol 3, Issue 2, 2015

41. Prime Ideals in Right Ternary Near-Rings and Right Ternary N-groups, Italian Journal of Pure and Applied Mathematics,  ISSN:2239- 0227, No.35, 109-128, 2015

42. Fuzzy Logic in Music Selection, Journal of Theoretical and Computational Mathematics, ISSN:2395- 6607, Vol. 1(1), 74-78, 2015 

43. 3-Uniform Hyper graphs of Right Ternary Near- Rings & Existence of BIBDs, Advances and Applications in Discrete Mathematics, ISSN: 0974-1658, Vol.16, Issue 2, 135-160, 2015

44. A Graph  theoretical  approach to Monogenic and Strongly Monogenic Right Ternary N-groups, International Research Journal of Engineering and Technology, ISSN: 2395- 0056, Vol 2, Issue 8, 517-527, 2015

45. Modular, Primitive Properties and Chain Conditions in Right Ternary Near-Ring, International Journal of Pure and Applied Mathematics, ISSN 1311- 8080, Vol.101, No. 3, 349-368, 2015

46. On the Quasi-Hyperbolic Kac-Moody algebra QHA7 (2) , International  research  Journal  of  Engineering  and technology, ISSN: 2395- 0056, Vol 3(5), 1409-1414, 2016

47. Quasi Affine Generalized Kac Moody Algebras QAGGD3 (2) : Dynkin Diagrams and root Multiplicities for a class of QAGGD3(2), Indian Journal of Science and Technology,  ISSN(P):0974- 6846, Vol. 9 (21), 1-6, 2016

48. Root system and Dynkin Diagrams forth general Class of indefinite quasi Affine Kac Moody algebras QAG2(1), International Journal of   Engineering Innovations and Research, ISSN:2277- 5668, Vol.5, Issue 1, 59-65, 2016

49. A study on Dynkin diagrams and root system of indefinite quasi affine Kac Moody  Algebras QAD3(2), International Journal of Innovation in Science and Mathematics, ISSN : 2347–9051, Vol.4, No.1, 25-36, 2016

50. Root   Multiplicities   for   a Class  of Quasi Affine Generalized Kac Moody Algebras AGGA2(1) of rank   4, International   Journal   of Mathematical Archives, ISSN :2229- 5046, Vol 7(2), 5-13, 2016

51. In   insight into QAC2 (1): Dynkin diagrams and properties of roots, International Research Journal of Engineering and Technology, 2016, e-ISSN: 2395-0056; p-ISSN: 2395-0072, Vol 3 Issue 1, 874-889

52. A Study on the Dynkin Diagrams and imaginary roots of indefinite Quasi-Hyperbolic Kac-Moody Algebra QHA5(2), International Journal of Pure and Applied Mathematics, ISSN 1314- 3395, Vol.111, No.4, 647-665, 2016

53. A Study on the Root Systems and Dynkin Diagrams associated with QHA2(1), International Research Journal of Engineering and Technology, ISSN 2395-0056, Vol. 03, Issue 2, 2016

54. Dynkin diagrams and Root systems of Indefinite Quasi- Hyperbolic Kac-Moody algebra QHA4(2), Indian Journal of Science and Technology, Vol.9 (25), 1-11, 2016, ISSN: 0974-6846

55. Fuzzy Soft N subgroups and N-ideals over a Right Ternary N-groups, Annals of Fuzzy Mathematics and Informatics,  ISSN 2093-9310, Vol.11 (6), 863-884, 2016

56. Structure of Indefinite Quasi-Hyperbolic Kac-Moody Algebras QH2(3), Global Journal of Pure and Applied Mathematics, ISSN: 0973-9750, Vol 13, No 6, 1821–1833, 2017

57. On a class of Indefinite Quasi Hyperbolic Kac- Moody  Algebras QH1(3), Global Journal of Pure and Applied Mathematics, Special Issue, ISSN: 0973-9750, Vol 13, No 1, 81-87, 2017

58. An algorithm to find a quadratic non residue modulo p, an odd prime, Global Journal of Pure and Applied Mathematics, Special Issue, ISSN: 0973-9750, Vol 13, No 1, 103-107, 2017

59. An Algorithm to Find Square Roots of Quadratic Residues Modulo p (p being an odd prime), p≡1(mod 4), Global Journal of Pure and Applied Mathematics, ISSN: 0973-9750, Vol 13, No 4, 1223-1239, 2017

60. A Study on Generalized Generalized Quasi hyperbolic Kac-Moody algebra QHGGH1(9) of rank 10, Global Journal of Mathematical Sciences: Theory & Practical, International Research Publications House, ISSN 0974-3200, Vol 9, No. 3 (2017), 413-422

61. ECC Encryption and Decryption Using Iterated Knapsack algorithm, International Journal of Pure and Applied Mathematics, 2017, ISSN 1314-3395

62. Root system and Classification of Dynkin diagrams of  QH2(3), International Scientific Journal of Contemporary Research in Engineering Science and Management, 2017, ISSN : 2456 - 1134

63. A square root Algorithm Fields Fq*, q odd, q   1(mod 4), Chapter in Edited Book: Innovative Applications in Engineering and Technology- Jupiter publication consortium, ISBN: 9 78- 93- 86388- 04-9, ISSN 2518-2994(Online)

64. On a Class of Indefinite Quasi-Hyperbolic Kac-Moody Algebra QH123(3), Chapter in Edited Book: Innovative Applications in Engineering & technology, Jupiter Publications Consortium, Certified Firm, June 2017, ISBN: 9 78- 93- 86388- 04-9, ISO 9001:2015, 220-233

65. Classification of Dynkin Diagrams and Root System of Indefinite Quasi Hyperbolic Kac Moody Algebras of Rank 6, Applied Research International Conference, Oxford 2018 Proceedings, ISBN: 978-1-83853-072-3, Pg.no: 59-84

66. Modified Shanks Baby-step Giant-Step Algorithm and Pohlig-Hellman Algorithm, International Journal of pure and Applied Mathematics, ISSN(E): 1314-3395, Special Issue vol.118(10), 47-56, 2018

67. Modified Shanks Baby-step Giant-Step algorithm to solve Elliptic curve discrete logarithm problem, International Research Journal of Engineering and technology, ISSN(E): 2395-0056, Vol.5(4), 4573-4577, 2018

68. Classification of Dynkin diagrams & imaginary roots of Quasi hyperbolic Kac Moody algebras of rank 9, International Research Journal of Science & Technology, p-ISSN: 2395-0072, Vol: 05 Issue: 03, Mar-2018

69. A Study on Indefinite, Quasi Hyperbolic Kac Moody algebras of rank 8, Published in IJCMS, ISSN: 2347-8527, Vol 7, Issue 3, March 2018

70. Factoring Polynomials using Elliptic Curves, International journal of Engineering and Technology (UAE) ISSN: 2227-524X, Vol:7, No 4.10, (2018), Special Issue:10, 112-117

71. Some Labeling on Cycles with Parallel P3 Chords, Journal of Applied Science and Computation, ISSN NO: 1076-5131, Vol.6, Issue:1(UGC approved), 469-475, 2019

72. Vertex Odd Mean Labeling of Some Cycles with Parallel Chords, International Association of Scientific Innovation & Research, 2nd International Conference on current scenario in pure & Applied Mathematics (special Issue), Conference Proceeding American International Journal of Research in Science Technology Engineering and Mathematics, ISSN(e): 2328-3580, 73-79, 2019

73. t-Odd Sequential Harmonious Labeling of Cycle Cn with Parallel Chords, International Journal of Engineering and Advanced Technology, ISSN 2194-5357, Vol.8, Issue 5, 2184-2188, 2019

74. New Families of Square Sum Graphs, Journal of Computer and Mathematical Sciences, ISSN 0976 -5727, Vol.10, No.4, 907-914, 2019

75. Vertex Even Mean Labeling of New Families of Graphs, International Journal of Scientific Research And Reviews, ISSN : 2279-0543, Vol.8, No.2, 902-913, 2019

76. New Labelings on Cycles with parallel P3 Chords, Journal of Emerging Technologies and Innovative Research, ISSN - 2349-5162, Vol.6, No.5, 559-564,2019

77. Strongly Multiplicative labeling of Cycle Cn with parallel Pk chords, International Journal of Research and Analytical Reviews, ISSN: 2348-1269, Vol.6, No.2, 1-7, 2019

78. Strongly multiplicative labeling on subdivision of triangular snake & Ladder graphs, Cyclic Quadrilateral & Pentagonal snake graphs, International Journal of Innovative Technology and Exploring Engineering (IJITEE), ISSN: 2278-3075, Vol. 9, Issue 2, 358-362, 2019

79. Power Dominator Chromatic Number for some special graphs, International Journal of Innovative Technology and Exploring Engineering (IJITEE), ISSN: 2278-3075, Vol.8, Issue 12, 2019, Oct 2019, 3657-3960

80. Graph theory in the Analysis of Arithmophobia, International Journal of Innovative Technology and Exploring Engineering (IJITEE), ISSN: 2278-3075, Vol.8, Issue.12, Oct 2019, Pg.no 3637-3640

81. Power Dominator Coloring for Various Graphs, Journal of the maharaja Sayajirao University of Baroda (UGC Care Group I Journal), ISSN: 0025-0422, Vol:54, No.2(1), 119-123

82. Power Dominator Coloring of special kind of graphs, Kala Sarovar, ISSN: 0975 - 4520, Vol: 23, No. 04 (XI), Oct - Dec 2020, 58 - 62,

83. Some Labelings on cycle with parallel P4 chord, Turkish Journal of Computer and Mathematics Education, Vol: 12, No: 10 (2021), 5500 -5508

84. Vertex Even Mean and Vertex Odd Mean Labeling for Path Union and Crown on Cycle with Parallel  Chords, Design Engineering (Toronto), Issue: 6, 5775 - 5792, ISSN: 0011 - 9342.

85. Power Dominator Chromatic Number for vertex duplication of some Graphs, Design Engineering (Toronto), Issue: 6, 5755 - 5774, ISSN: 0011 - 9342

86.  On Some Vertex Mean Labeling for Cycle with Parallel  Chords, Vidyabharati International Interdisciplinary Research Journal (Special Issue), Special Issue on Engineering Technologies and Management, ISSN 2319 - 497, 3109 -31119

87.  Some New labelings on Cycle with Zigzag chords, International Journal of Mechanical Engineering, Kalahari Journals, Vol:6, No.3 December, 2021, ISSN: 0974 - 5823, 1616 - 1623

88. On Some Special Graphs with Power Dominator Chromatic Number 3, International Journal of Mechanical Engineering, Kalahari Journals, Vol: 6, No.1 January - June, 2021, 1 - 7, ISSN: 0974 - 5823.

89. New Labeling for Graphs - AUM Block Sum Labeling, International Journal of Current Science ( IJCSPUB ), Vol. 12, Issue 1, March 2022, 574 - 584, ISSN: 2250 - 1770

90. AUM Block Labelling for Cycle Cactus Block Graphs, Compliance Engineering Journal, Vol 13, Issue 4, 2022, Pp.84 - 96, ISSN NO: 0898 - 3577

91. New Algorithm for Encoding and Decoding Using AUM Block Labelling, Compliance Engineering Journal, Volume 13, Issue 4, 2022, Pg.no: 264 - 274, ISSN NO: 0898 - 3577

92. AUM Block Labelling for some special Graphs, International Journal of mechanical Engineering, Special Issue on Interdisciplinary special issue on Advances in Technology, Education, Management & Social Sciences, ISSN: 0974-5823, Special Issue 5, Vol 7,  Apr 2022, 102-110

93. New Coloring for Blocks – AUM Block Coloring for Standard Graphs, Compliance Engineering Journal, ISSN No: 0898 – 3577, Vol. 13, Issue: 5, 68 - 77

94. Power Dominator Coloring for Vertex Switching of Some Graphs, Compliance Engineering Journal, ISSN No: 0898 – 3577, Vol 5, Issue:13, 93-103, Apr 2022

95. Square sum labelling on New families of Cycle Cn with parallel P3 chords, Stochastic Modeling & Applications, Special Issue on Recent research on Management Applied sciences and Technology, ISSN No: 0972-3641, Vol.26, No.3, (January-June, Special Issue 2022 Part-4), 432-440

96. A study on graphs with Power Dominator Chromatic Number 3, International Journal of Mechanical Engineering, ISSN: 0974-5823, Vol.7, No.4, Apr 2022

97. AUM Block sum Labelling & Aum Block Labelling for Perfect Binary Tree (T3,l) T(4,l) & T(5,l), Chapter in Edited Book, Advances in Graph Labelling, Colouring and Power Domination Theory, NFED Publications, E-ISBN: 978-81-95499-8-5, Vol: 1, Pp: 1-17, May 2022

98. Strongly Multiplicative Labelling on Triple Triangular & Triple Quadrilateral Snake Graphs, Chapter in Edited Book, Advances in Graph Labelling, Colouring and Power Domination Theory, NFED Publications, E-ISBN: 978-81-95499-8-5, Vol: 1, 38-55, May 2022

99. On Some Labelling for Diamond Ladder Graphs, Chapter in Edited Book-Advances in Graph Labelling, Colouring and Power Domination Theory, NFED Publications, E-ISBN: 978-81-95499-8-5, Vol: 1, 56-71, May 2022

100. AUM block Coloring for Triangular Snake Graph Family, Chapter in Edited Book: Advances in Graph Labelling, Colouring and Power Domination Theory, NFED Publications, E-ISBN: 978-81-95499-8-5, Vol: 1, 72-91, May 2022

101. Arithmetic Number Labelling of graphs, Chapter in Edited Book, Advances in Graph Labelling, Colouring and Power Domination Theory, NFED Publications, E-ISBN: 978-81-95499-8-5, Vol: 1, 18-37, May 2022

102. Power Dominator Chromatic Number Triangular Snake Graph Family, Chapter in Edited Book, Advances in Graph Labelling, Colouring and Power Domination Theory, NFED Publications, E-ISBN: 978-81-95499-8-5, Vol: 1, 92-115, May 2022

103. Rainbow Dominator Coloring for Special graphs, International Journal of Mechanical Engineering, ISSN No: 0974-5823, Vol.7, No.5, May 2022, 125-133

104. AUM Block Labelling for friendship, Tadpole and Cactus graphs , Neuroquantology, e-ISSN No: 1303-5150, Vol.20, Issue 6, pg.no: 7876-7884 , Scopus 2022

105.  Arithmetic Number Labelling for Banana tree, Olive tree, Shrub, Jelly fish, Tadpole Graphs, International Journal of Mechanical Engineering, ISSN No: 0974-5823, Vol.7, No.7, pg.no 264-277, Scopus

106.  New Coding Algorithms using AUM Block Sum Labeling, Neuro Quantology, Vol.20, Issue 9, Pg.no: 414-421, 2022,e-ISSN No: 1303-5150 

107. Uma Maheswari. A & Purnalakshimi. A.S, “AUM Block labeling for kite, comb and diamond snake graphs”, Journal of North eastern University, Vol 25, Issue 04, ISSN 1005- 3026

108. Uma Maheswari. A & Sumathi. V, “AUM block geometric mean labeling”, African Journal of Biological Sciences, ISSN: 2663-2187, Volume 6, Issue Si4, Aug 2024.

109. Uma Maheswari. A & Ambika. C, "A New Approach to the Duplication of Blocks by a Vertex and AUM Mean Labeling with an Application in Water Management", SEEJPH vol XXVI, S2, 2025, ISSN: 2197 -5248; 03-02-2025.

110.  Uma Maheswari. A, C. Ambika, “New AUM Gaussian block labeling with application in coding theory”, African Journal of Biological Sciences, ISSN: 2663-2187, Volume 6, Issue Si4, Aug 2024.

111. Uma Maheswari. A, Sumathi. V, “AUM Block Geometric Mean Labeling for Star Family with an Application in Coding Theory”, Journal of Computational Analysis and Applications, Vol.33, No.8,2024.

112. Uma Maheswari. A, Sumathi. V, “AUM block geometric mean labeling for tadpole, kayak paddle and bull graphs”, Utilitas Mathematica, ISSN 0315 -3681, Volume 122 (2), 2025.

113. Uma Maheswari. A, Sumathi. V, “AUM block geometric mean labeling for Unicyclic graphs and an application in dentistry", Fuzzy systems and soft computing, ISSN 1819-4362, Vol.20, No.02.(I), July- December: 2025.

Book Authored - 15

1. Title of the Book : New AUM Block Coloring Technique for Corona Product of Graphs Vol 1, ISBN No: 978-620-5-52939-3, Lap Lambert Publishing, 2022.

 2. Title of the Book : “AUM Block Coloring for Special Graphs with Python Coding Vol 2”. ISBN No: 978-620-6-14988-0, Lap Lambert Publishing, 2023.

And more... 

Books

     Lesson Writing for M.Sc Mathematics, Institute of Distance Education (IDE), University of Madras for

                   three papers :

1. Paper title “Topology” – Semester III, 2019

2. Paper Title “Complex Analysis –I” – Semester III, 2019

3. Paper Title “Complex Analysis –II”- Semester IV, 2019

Chapters in Edited Books 

1. Book Title : Innovative Applications in Engineering and Technology

Chapter : On a Class of Indefinite Quasi-Hyperbolic Kac-Moody Algebra QH123(3)

  Jupiter Publication, ISBN: 978- 93-86388-04-9, Pp.220-233

2. Book Title : Innovative Applications in Engineering and Technology

Chapter : A Square Root Algorithm in Finite Extension Fields F*Q

    Jupiter Publication,  ISBN: 978- 93-86388-04-9, Pp:-194-219

3. Book Title : Advances in Graph Labelling, Colouring and Power Domination Theory

Chapter : AUM Block sum Labelling &Aum Block Labelling for Perfect Binary Tree (T3,l) T(4,l) &T(5,l)

   NFED Publications, E-ISBN: 978-81-95499-8-5, Vol: 1, Pp: 1-17, May 2022

4. Book Title : Advances in Graph Labelling, Colouring and Power Domination Theory

Chapter : Strongly Multiplicative Labelling on Triple Triangular & Triple Quadrilateral Snake Graphs

   NFED Publications, E-ISBN: 978-81-95499-8-5, Vol: 1, Pp: 38-55, May 2022

5. Book Title : Advances in Graph Labelling, Colouring and Power Domination Theory

Chapter : On Some Labelling for Diamond Ladder Graphs

  NFED Publications, E-ISBN: 978-81-95499-8-5, Vol: 1, pp: 56-71, May 2022

6. Book Title : Advances in Graph Labelling, Colouring and Power Domination Theory

Chapter     :    Arithmetic Number Labelling of graphs

   NFED Publications, E-ISBN: 978-81-95499-8-5, Vol: 1, Pp: 18-37, May 2022 

7. Book Title : Advances in Graph Labelling, Colouring and Power Domination Theory

Chapter     :       Power Dominator Chromatic Number Triangular Snake Graph Family

   NFED Publications, E-ISBN: 978-81-95499-8-5, Vol: 1, pp: 92-115, May 2022 

8. Book Title :   Advances in Graph Labelling, Colouring and Power Domination Theory

Chapter        :        AUM block Coloring for Triangular Snake Graph Family

NFED Publications, E-ISBN: 978-81-95499-8-5,  Vol: 1,  pp: 72-91, May 2022