Hilal A. Ganie, Bilal Ahmad Rather and Y. Shang, Bounds on the first outdegree Zagreb index of digraphs, Aequationes mathematicae, (2025), to appear
Bilal Ahmad Rather, On the eigenvalues of zero divisor graphs associated with commutative rings, Indian Journal of Pure and Applied Mathematics, (2025), to appear.
Bilal Ahmad Rather, Independent domination polynomial of comaximal graphs of commutative rings, Algebra colloquium, (2024), to appear.
Bilal Ahmad Rather, Complex Zeros and Log-Concavity in Independent Domination Polynomials of Zero Divisor Graphs of Commutative Rings, Theoretical Computer Science, (2025), to appear
Bilal Ahmad Rather and J. Wang, Exploring the Differential Polynomial of Graphs: Oscillations and Zeros, Acta Mathematica Sinica English Series, (2025), to appaer.
Bilal Ahmad Rather, On domination polynomials of some graphs, Journal of Combinatorial Mathematics and Combinatorial Computing, 126 (2025) 279--289, https://doi.org/10.61091/jcmcc126-19.
Bilal Ahmad Rather, Hilal A. Ganie and M. Imran, Bounds on the spread and trace norm of the adjacency matrix of a graph, Quaestiones Mathematicae, (2025), https://doi.org/10.2989/16073606.2025.2550021.
Bilal Ahmad Rather and Hilal A. Ganie, Properties of a divisor graph of a positive integers, On some structural properties of a divisor graph, RAIRO - Operations Research (2025), https://doi.org/10.1051/ro/2025030.
Bilal Ahmad Rather, M. Aouchiche, M. Imran and S. Mondal, Geometric-Arithmetic index-energy predicting the physical properties of alkanes, Communications in Combinatorics and Optimization (2024), https://doi.org/10.22049/cco.2024.28999.1807
Bilal Ahmad Rather, Hilal A. Ganie and M. Imran, Energy of dendrimers, Discrete Mathematics Algorithms and Applications, (2024) https://doi.org/10.1142/S1793830925500028.
Hilal A. Ganie, Bilal Ahmad Rather and Yilun Shang, On comparison between the distance energies of a connected graph, Heliyon, 10(22) (2024) e40316, https://doi.org/10.1016/j.heliyon.2024.e40316.
Z. Raza, Bilal Ahmad Rather and M. Ghorbani, Weighted topological index of graphs, Communications in Combinatorics and Optimization (2024), https://doi.org/10.22049/cco.2024.29895.2211.
Hilal A. Ganie, Bilal Ahmad Rather and Y. Shang, On reciprocal distance Laplacian spectral radius of graphs, Communications in Combinatorics and Optimization (2025), https://doi.org/10.1142/S1793830925500028.
Bilal Ahmad Rather, Muhammad Imran and F. B. Farooq, Sombor spectral of p-type brooms and their application in allergic drugs, The Journal of Supercomputing, 81(1) (2025) 53, https://doi.org/10.1007/s11227-024-06600-0.
S. Pirzada, Bilal Ahmad Rather, K. C. Das, Y. Shang and I Gutman, On Sombor matrix of graphs, Georgian Mathematical Journal, (2025), https://doi.org/10.1515/gmj-2024-2078.
Bilal Ahmad Rather and Mustapha Aouchiche, Distance Laplacian spectra of graphs: a survey, (2024), Discrete Applied Mathematics, 361 (2025) 136--195, https://doi.org/10.1016/j.dam.2024.10.001.
Z. Raza, Bilal Ahmad Rather and M. Imran, Sombor characteristic values of cographs, Heliyon 10(19) (2024) e38578, https://doi.org/10.1016/j.heliyon.2024.e38578.
Bilal Ahmad Rather, Algebraic connectivity of power graphs of finite cyclic groups, Mathematics 12(14) (2024) 2175, https://doi.org/10.3390/math12142175.
Bilal Ahmad Rather, Hilal A. Ganie, and Y. Shang, Signless Laplacian ABC-spectrum and energy of graphs, Mathematics 12(15) (2024) 2366, https://doi.org/10.3390/math12152366.
Z. Raza, Bilal Ahmad Rather and M. Ghorbani, On cozero divisor graphs of ring $\mathbb{Z}_{n}$, Communications in Combinatorics and Optimization}(2024), https://doi.org/10.22049/cco.2024.26112.1974.
Mustapha Aouchiche and Bilal Ahmad Rather, Proximity and Remoteness in Graphs: a survey, Discrete Applied Mathematics 353 (2024) 94--120, https://doi.org/10.1016/j.dam.2024.04.012.
Bilal Ahmad Rather, M. Imran, Z. Raza, and F. B. Farooq, Sombor spectral properties of threshold matrix, RAIRO - Operations Research 58(4) (2024) 2845--2864, http://doi.org/10.1051/ro/2024111.
Bilal Ahmad Rather, M. Imran and S. Pirzada, Linear strand of edge ideals of zero divisor graphs of the ring $\mathbb{Z}_{n}$, Communications in Algebra 52(12) 5069--5085, https://doi.org/10.1080/00927872.2024.2363953.
Bilal Ahmad Rather, X. Gao and J. Wang, Spectral spread and energy of eccentricity matrix, Discrete Applied Mathematics 352 (2024) 9--19, https://doi.org/10.1016/j.dam.2024.03.020.
Bilal Ahmad Rather, Independent domination polynomial for the cozero divisor graph of the ring of integers modulo n, Discrete Mathematics Letters 13 (2024) 36--43, https://doi.org/10.47443/dml.2023.215
Bilal Ahmad Rather, M. Aouchiche, M. Imran and I. El Hallaoui, On distance Laplacian spectral ordering of some graphs, Journal of Applied Mathematics and Computing, (2024), http://doi.org/10.1007/s12190-024-01995-8
Bilal Ahmad Rather, Hilal A. Ganie, K. C. Das and Y. Shang, General extended adjacency eigenvalues of chain graphs, Mathematics 12(2) (2024) 192, https://doi.org/10.3390/math12020192.
Bilal Ahmad Rather, M. Imran and A. Diene, On spectral spread and trace norm of Sombor matrix, Indian Journal of Pure and Applied Mathematics (2023), https://doi.org/10.1007/s13226-023-00529-5
Bilal Ahmad Rather, Hilal A. Ganie and M. Aouchiche, On distance Laplacian spectral invariants of brooms and their complements, Communications in Combinatorics and Optimization (2024), https://doi.org/10.22049/cco.2024.28835.1743.
F. Ali, Bilal Ahmad Rather, M. Naeem and W. Wang, Degree and distance based topological descriptors of power graphs of finite non-abelian groups, Discrete Applied Mathematics, 345 (2024) 62-67, https://doi.org/10.1016/j.dam.2023.11.038.
Bilal Ahmad Rather, Betti numbers of edge ideals of some graphs with application to graphs assigned to groups, Filomat, 38(6) (2024), 2185--2204, http://doi.org/10.2298/FIL2406185R
Z. Raza and Bilal Ahmad Rather, Optimizing the Gutman Index: A Study of minimum Values Under Transformations of Graphs, Communications in Combinatorics and Optimization 10(2) (2024) 257-273, http://doi.org/10.22049/CCO.2023.28845.1747
Bilal Ahmad Rather, M. Imran and A. Diene, The linear strand of edge ideals of comaximal graphs of commutative rings, Communications in Algebra 52(4) (2024)1486--1500, https://doi.org/10.1080/00927872.2023.2263559.
M. Imran and Bilal Ahmad Rather, Sombor spectral properties of chain graphs, Heliyon, 9 (2023) e18135, https://doi.org/10.1016/j.heliyon.2023.e18135.
A. Altassan, M. Imran and Bilal Ahmad Rather, On ABC energy and its application to anticancer drugs, Aims Mathematics, 8(9) (2023) 21668--21682, http://doi.org/10.3934/math.2023110.
Hilal A. Ganie, Bilal Ahmad Rather and Mustapha Aouchiche, Reciprocal distance Laplacian spectral properties double stars and their complements, Carpathian Mathematical Publications, 15(2) (2023) 576-593, https://doi.org/10.15330/cmp.15.2.576-593
Bilal Ahmad Rather, V. Bovdi and M. Aouchiche , On distance (Laplacian) characteristic polynomials of power graphs, Journal of Algebra and its Applications 24(14) (2024) 2550003, https://doi.org/10.1142/S0219498825500033.
Bilal Ahmad Rather, A note on the distinct eigenvalues of quotient matrices, Indian Journal of Pure and Applied Mathematics, 55 (2024) 1429–1439, https://doi.org/10.1007/s13226-023-00448-5.
Hilal A. Ganie, R. U. Shaban, Bilal Ahmad Rather and S. Pirzada, On distance Laplacian energy, vertex connectivity and independence number of graphs, Czechoslovak Mathematical Journal (2023), 1-15, https://doi.org/10.21136/CMJ.2023.0421-20
Bilal Ahmad Rather, M. Imran and S. Pirzada, On Sombor index and Sombor eigenvalues of comaximal graphs of commutative rings, Journal of Algebra and its Applications 23(06) (2024) 2450115, https://doi.org/10.1142/S0219498824501159
Bilal Ahmad Rather, Hilal A. Ganie and Y. Shang, Distance Laplacian eigenvalues of sun graphs, Applied Mathematics and Computations 445 (2023), Article id 127847, https://doi.org/10.1016/j.amc.2023.127847
Bilal Ahmad Rather, M. Aouchiche and M. Imran, On Laplacian eigenvalues of comaximal graphs of commutative rings, Indian Journal of Pure and Applied Mathematics 55 (2024) 310--324, https://doi.org/10.1007/s13226-023-00364-8.
Alaa Altassan, Bilal Ahmad Rather and M. Imran, Inverse sum indeg index (energy) with application as anticancer drugs, Mathematics 10(24) (2022), Article id 4749, https://doi.org/10.3390/math10244749.
Bilal Ahmad Rather, Hilal A. Ganie and Xueliang Li, On the eigenvalues of Laplacian ABC-matrix of graphs, Quaestiones Mathematicae (2022), https://doi.org/10.2989/16073606.2022.2156405.
F. Jamal, M. Imran and Bilal Ahmad Rather, On inverse sum indeg energy of graphs, Special Matrices, 11(1) (2023) pp. 20220175, https://doi.org/10.1515/spma-2022-0175.
X. Zou, Bilal Ahmad Rather, M. Imran and A. Ali, On Some Topological Indices Defined via the Modified Sombor Matrix, Molecules 27(19) (2022), 6772, https://doi.org/10.3390/molecules27196772.
Hilal A. Ganie, Bilal Ahmad Rather and K. C. Das, On normalized distance Laplacian spectral properties of graphs, Applied Mathematics and Computations, (2022) 127615, https://doi.org/10.1016/j.amc.2022.127615.
Bilal Ahmad Rather, S. Pirzada and G. Zhou, On distance Laplacian spectra of power graphs of certain finite groups, Acta Mathematica Sinica, English Series, (2022), https://doi.org/10.1007/s10114-022-0359-4.
Hilal A. Ganie and Bilal Ahmad Rather, On distance Randic eigenvalues and energy of graphs, Bulletin of the Brazilian Mathematical Society, New Series, 53 (2022) 1449--1467, https://doi.org/10.1007/s00574-022-00312-w.
Bilal Ahmad Rather, Hilal A. Ganie and S. Pirzada, On the A_{\alpha}-spectrum of joined union and its applications to power graphs of certain finite groups, Journal of Algebra and Its Applications, (2023) 2350257 (23 pages), https://doi.org/10.1142/S0219498823502572.
Bilal Ahmad Rather, F. Ali, S. Alsaeed and M. Naeem, Hosoya Polynomials of Power Graphs of Certain Finite Groups, Molecules, (2022) 27 6081, https://doi.org/10.3390/molecules27186081.
F. Ali, Bilal Ahmad Rather, M. Sarfraz, A. Ullah, N. Fatima and W. K. Mashwani, Certain Topological Indices of Non-Commuting Graphs for Finite Non-Abelian Groups, Molecules, (2022) 27 6053, https://doi.org/10.3390/molecules27186053.
Bilal Ahmad Rather, Schatten p-norm of $ D_{\alpha} $ matrix of graphs, Indian Journal of Pure and Applied Mathematics, 54 (2023) 1012--1024, https://doi.org/10.1007/s13226-022-00317-7.
Bilal Ahmad Rather, F. Ali, A. Ullah and N. Fatima, On $ A_{\gamma} $ eigenvalues of zero divisor graphs of integer modulo and Von Neumann regular rings, Symmetry, (2022) 14(8) 1710, https://doi.org/10.3390/sym14081710.
Bilal Ahmad Rather, M. Aouchiche, M. Imran and S. Pirzada, On AG-eigenvalues of graphs, Main Group Metal Chemistry, 45(1) (2022) 111-123, https://doi.org/10.1515/mgmc-2022-0013.
Bilal Ahmad Rather and M. Imran, A note on the energy and Sombor energy of graphs, MATCH Communications in Mathematical and in Computer Chemistry 89(2) (2023) 467-477, https://doi.org/10.46793/match.89-2.467R.
Bilal Ahmad Rather, Hilal A. Ganie and M. Aouchiche, On normalized distance Laplacian spectra of graphs, Carpathian Journal of Mathematics, 39(1) (2023) 213--230, https://doi.org/10.37193/CJM.2023.01.14.
S. Pirzada, Bilal Ahmad Rather, R. Ul Shaban and T. A. Chishti, Signless Laplacian eigenvalues of the zero divisor graph associated to finite commutative ring $ \mathbb{Z}_{p^{M_{1}} q^{M_{2}}} $, Communications in Combinatorics and Optimization (2022), http://doi.org/10.22049/CCO.2022.27783.1353.
Bilal Ahmad Rather, F. Ali, N. Ullah, Al-S. Mohammad, A. Din and Sehra, A_{\alpha} matrix of commuting graphs of non-abelian groups, AIMS Mathematics 7(8) (2022), 15436-15452, https://doi.org/10.3934/math.2022845.
F. Ali, Bilal Ahmad Rather, N. Fatima, M. Sarfraz, A. Ullah, K. A. M. Alharbi and R. Dad, On the topological indices of commuting graphs for finite non-abelian groups, Symmetry 14 (2022) 1266, https://doi.org/10.3390/sym1406166.
Bilal Ahmad Rather, M. Aouchiche and S. Pirzada, On spread of geometric-arithmetic matrix of graphs, AKCE International Journal of Graphs and Combinatorics (2022) https://doi.org/10.1080/09728600.2022.2088315.
R. U. Shaban, Bilal Ahmad Rather, S. Pirzada and A. Somasundaram, On distance signless Laplacian spectral radius of power graphs of cyclic and dihedral groups, Annales Mathematicae et Informaticae (2022) https://doi.org/10.33039/ami.2022.05.003.
Bilal Ahmad Rather and M. Imran, Sharp bounds on the Sombor energy of graphs, MATCH Communications in Mathematical and in Computer Chemistry 88(3) (2022) 605-624. https://doi.org/10.46793/match.88-3.605R
S. Pirzada, Bilal Ahmad Rather and M. Aouchiche, On eigenvalues and energy of geometric-arithmetic matrix of graphs, Mediterranean Journal of Mathematics, 19 (2022) Article number 115 https://doi.org/10.1007/s00009-022-02035-0.
Bilal Ahmad Rather, M. Aijaz and F. Ali, N. Mlaiki and A. Ullah, On the distance signless Laplacian eigenvalues of zero divisor graphs of commutative rings, Aims Mathematics 7(7) (2022) 12635-12649. https://doi.org/10.3934/math.2022699.
Bilal Ahmad Rather, S. Pirzada, T. A. Chishti and Ahmad M. Alghamdi, On normalized Laplacian eigenvalues of power graphs of finite cyclic group, Discrete Mathematics, Algorithms and Applications (2022) Article id 2250070. https://doi.org/10.1142/S1793830922500707
S. Pirzada, Bilal Ahmad Rather, R. U. Shaban and T. A. Chishti, On the sum of powers of $ A_{\alpha} $ eigenvalues of graphs and $ A_{\alpha} $-energy like invariant, Boletim da Sociedade Paranaese de Matem\'atica 40 (2022) http://doi.org/10.5269/bspm.52469
Bilal Ahmad Rather, S. Pirzada and T. A. Naikoo, On distance signless Laplacian spectra of power graphs of the integer modulo group, The Art of Discrete and Applied Mathematics 5(2) (2022), https://doi.org/10.26493/2590-9770.1393.2be
Fawad Ali, Bilal Ahmad Rather, A. Din, T. Saeed and A. Ullah, Power graphs of finite groups determined by Hosoya properties, Entropy 24(2) 213 (2022) https://doi.org/10.3390/e24020213
M. Aouchiche, Bilal Ahmad Rather and I. El Hallaoui, On the Gre\v{s}gorin discs of distance matrices of graphs, Electronic journal of Linear Algebra 37 (2021) 709--717. http://doi.org/10.13001/ela.2021.6489
S. Pirzada, Bilal Ahmad Rather, R. Ul Shaban and Merajuddin, On graphs with minimal distance signless Laplacian energy, Acta Universitatis Sapientiae Mathematica 13(2) (2021) 450-467. http://doi.org/10.2478/ausm-2021-0028
Bilal Ahmad Rather, S. Pirzada, M. Imran and T. A. Chishti, On Randi\'c Eigenvalues of zero divisor graphs of $ \mathbb{Z}_{n}, $ Communications in Combinatorics and Optimization (2021) 1-12. http://doi.org/10.22049/CCO.2021.27202.1212
Hilal A. Ganie, Bilal Ahmad Rather and S. Pirzada, On a conjecture of Laplacian energy of trees, Discrete Mathematics, Algorithms and Applications 14(6) (2022) Article id 2250009 (18 pages). http://doi.org/10.1142/S1793830922500094
S. Pirzada, Bilal Ahmad Rather, T. A. Chishti and U. Samme, On normalized Laplacian spectrum of zero divisor graphs of commutative ring $ \mathbb{Z}_{n} $, Electronic Journal of Graph Theory and Applications 9(2) (2021) 331-345. http://dx.doi.org/10.5614/ejgta.2021.9.2.7
S. Pirzada, Bilal Ahmad Rather and T. A. Chishti, On distance Laplacian spectrum of zero divisor graphs of $ \mathbb{Z}_{n} $, Carpathian Mathematical Publications 13(1) (2021) 48-57. http://doi.org/10.15330/cmp.13.1.48-57
S. Pirzada, Bilal Ahmad Rather, Hilal A. Ganie and R. U. Shaban, On $ \alpha $-adjacency energy of graphs, AKCE International Journal of Graphs and Combinatorics (2021) 18(1) (2020) 39-46. http://doi.org/10.1080/09728600.2021.1917973
T. A. Naikoo, Bilal Ahmad Rather, U Samme and S. Pirzada, On Zagreb index of tournaments, Kragujevac Journal of Mathematics 48(2) (2024) 241-253, https://doi.org/10.46793/KgJMat2402.241N
S. Pirzada, Bilal Ahmad Rather, T. A. Naikoo and T. A. Chishti, On first general Zagreb index of tournaments, Creative Mathematics and Informatics 30(2) (2021) 01-08. https://doi.org/10.37193/CMI.2021.02.09
Bilal Ahmad Rather, S. Pirzada, T. A. Naikoo and Y. Shang, On Laplacian eigenvalues of the zero-divisor graph associated to the ring of integers modulo n, Mathematics 9(5) 482 (2021). http://doi.org/10.3390/math9050482
T. A. Naikoo, U. Samee, S. Pirzada and Bilal Ahmad Rather, On degree sets in k-partite graphs, Acta Universitatis Sapientae Informatica 12(2) (2020) 251-259. http://doi.org/10.2478/ausi-2020-0015
S. Pirzada, Bilal Ahmad Rather, R. U. Shaban and Merajuddin, On signless Laplacian spectrum of zero divisor graphs of the ring $ \mathbb{Z}_{n} $, The Korean Journal of Mathematics 29(1) (2021) 13-24. https://doi.org/10.11568/kjm.2021.29.1.13
Hilal A. Ganie, S. Pirzada, Bilal Ahmad Rather and R. Ul Shaban, On Laplacian eigenvalues of graphs and Brouwer's conjecture, Journal of the Ramanujan Mathematical Society 36(1) (2021) 1-9. http://www.mathjournals.org/jrms/2021-036-001/2021-036-001-002.html
S. Pirzada, Bilal Ahmad Rather, M. Aijaz and T. A. Chishti, Distance signless Laplacian spectrum of graphs and spectrum of zero divisor graphs of $ \mathbb{Z}_{n} $, Linear and Multilinear Algebra 70(17) (2022) 3354-3369, http://doi.org/10.1080/03081087.2020.1838425
S. Pirzada, Hilal A. Ganie, Bilal Ahmad Rather and R. U. Shaban, On the generalized distance energy of graphs, Linear Algebra and its Applications 603 (2020) 1-19. https://doi.org/10.1016/j.laa.2020.05.022
S. Pirzada, Bilal Ahmad Rather, Hilal A. Ganie and R. U. Shaban, On generalized distance spectral radius of a bipartite graph, Matematiǔki Vesnik 72(4) (2020) 327-336. http://www.vesnik.math.rs/vol/mv20405.pdf
Hilal A. Ganie, S. Pirzada, Bilal Ahmad Rather and V. Trevisan, Further developments on Brouwer's conjecture for the sum of Laplacian eigenvalues of graphs, Linear Algebra and its Applications 588 (2020) 1-18. https://doi.org/10.1016/j.laa.2019.11.020
S. Pirzada, Bilal Ahmad Rather, R. U. Shaban and M. I. Bhat, On distance Laplacian (signless) eigenvalues of commuting graphs of dihedral and dicyclic groups, Algebra and Related Topics with Applications, Springer Proceedings in Mathematics and Statistics (ICARTA 2019) (2022) 392, https://doi.org/10.1007/978-981-19-3898-6_32.
Bilal Ahmad Rather, A note on eigenvalues of zero divisor graphs associated with commutative rings, (2023), https://arxiv.org/abs/2401.02554.
On Weighted adjacency adjacency spectra of multipartite graphs, (Jan 2025).
Bilal Ahmad Rather and J. Wang, Exploring the Differential Polynomial: Oscillations and Zeros in Graphs, (April 2025)
Ralf Fröberg and Bilal Ahmad Rather, 2-linear resolution of edge ideal rings of path and cycle join graphs, (Feb 2024).
Bilal Ahmad Rather, Independent (domination) polynomials of a divisor graph of a positive integers, (June 2023)
Bilal Ahmad Rather, Hilal A. Ganie, J. Wang, Distance signless Laplacian spectra of graphs: a survey, (Nov 2024)