19. A graph-theoretic proof of Cramer's rule, Communications in Combinatorics and Optimization, (2025).
18. (with H. K. Dey, K. L. Patra, and B. K. Sahoo) On the domination number of proper power graphs of finite groups, Discrete Mathematics, 348(2025).
17. (with H. K. Dey) An exact enumeration of vertex connectivity of the enhanced power graphs of finite nilpotent groups, Acta Mathematica Hungarica, (2025).
16. Existence of a Non-Zero (0, 1)-Vector in the Row Space of Adjacency Matrices of Simple Graphs, Bull. Malays. Math. Sci. Soc. 48, 56 (2025).
15. On the strong domination number of proper enhanced power graphs of finite groups, Acta Mathematica Hungarica, 174 (2024), 177–191 .
14. A Matrix for Counting Paths in Acyclic Colored Digraphs, Graphs and Combinatorics, 40 (2024).
13. (with H. K. Dey) On the proper enhanced power graphs of finite nilpotent groups, Journal of Group Theory 25 (2022) 1109-1131.
12. Line graph characterization of power graphs of finite nilpotent groups, Communications in Algebra, 50 (2022) 4652-4668.
11. Enumeration of weighted paths on a digraph and block hook determinant, Special Matrices, 9 (2021) 197–211.
10. (with H. K. Dey and S.K. Mukherjee) On the connectivity of enhanced power graph of finite group, Graphs and Combinatorics, 37 (2021) 591–603.
9. Combinatorialization of Sury and McLaughlin Identities and General Linear Recurrences by a Unified Approach, Enumerative Combinatorics and Applications, ECA 1:1 (2021), S2R5.
8. (with S. K. Mukherjee), Generalized power sum and Newton-Girard identities, Graphs and Combinatorics, 36 (2020) 1957–1964.
7. (with S. K. Mukherjee) Combinatorial proofs of the Newton–Girard and Chapman–Costas-Santos identities, Discrete Mathematics, 342 (2019) 1577–1580.
6. (with S. K. Mukherjee) A simple elementary proof of “The Unimodularity Theorem” of Oliver Knill, Linear Algebra and its Applications, 547 (2018) 124–127.
5. (with S. K. Mukherjee) Combinatorial proofs of some determinantal identities, Linear and Multilinear Algebra, 66 (2018), 1659–1667.
4. On the intersection power graph of a finite group, Electronic Journal of Graph Theory and Applications , 6 (1) (2018), 178–189.
3. (with A. K. Bhuniya) On enhanced power graphs of finite groups, Journal of Algebra and Its Applications, 17:8 (2018), 8 pages.
2. (with A. K. Bhuniya) Normal subgroup based power graphs of a finite group, Communications in Algebra, 45:8(2016), 3251–3259.
1. (with A. K. Bhuniya) On some characterizations of strong power graphs of finite groups, Spec. Matrices , 4(2016), 121–129.
Preprints :
2. (with P. J. Cameron), On the difference of the intersection power graph and the power graph of a finite group, (submitted, 2025).
A combinatorial proof of the trace Cayley-Hamilton theorem, (submitted, 2025).