Publications

Published/Accepted :

2024:

[10]. Shushma Rani, G. Arunkumar, A Study on free roots of Borcherds-Kac-Moody Lie superalgebras.  J. Combin. Theory Ser. A 183 (2024), 204, 105862, 2024.

 [9] Sushil Bhunia, G. Arunkumar, Groups with star-free commuting graphs, 2024. The Indian Journal of Pure and Applied Mathematics. https://doi.org/10.1007/s13226-022-00359-x

2023:

[8] G. Arunkumar, Peter J. Cameron, T. Kavaskar, Thirugnanam Tamilzh Chelvam, Induced subgraphs of zero-divisor graphs, Discrete Math. 346 (2023), no. 10, Paper No. 113580, 9 pp. 

2022:

[7] G. Arunkumar. Generalized chromatic polynomials of graphs from Heaps of pieces, Ann. Comb. 26 (2022), no. 2, 345–377.

[6] K. Selvakumar, P. Gangaeswari, and G. Arunkumar. The Weiner index of the zero divisor graph of a finite commutative ring with unity. Discrete Appl. Math. 311 (2022), 72–84.

[5] G. Arunkumar, Peter J. Cameron, Rajat Kanti Nath, Lavanya Selvaganesh, Super graphs on Groups - I, Graphs Combin. 38 (2022), no. 3, Paper No. 100, 14 pp. 

2021:

[4] G. Arunkumar. Chromatic symmetric function of graphs from Borcherds algebras, J. Combin. Theory Ser. A 183 (2021), Paper No. 105492, 28 pp.

[3] M. Saravanan, S.P. Murugan, G. Arunkumar. A generalization of Fiedler’s lemma and the spectra of H-join of graphs, Linear Algebra and its Applications, 625 (2021) 20–43.

2018:

[2] G. Arunkumar. The Peterson recurrence formula for the chromatic discriminant of a graph. Indian Journal of Pure and Applied Mathematics, 49(3):581–587, Sep. 2018.

[1] G. Arunkumar, Deniz Kus, and R. Venkatesh. Root multiplicities for Borcherds algebras and graph coloring. Journal of Algebra, 499:538–569, 2018.

Preprints:

[1] R. GaneshBabu, G. Arunkumar. On the spectrum of generalized H-join operation constrained by indexing maps -- I, https://arxiv.org/abs/2402.10557, 2024.

[2] G. Arunkumar, Peter J. Cameron, Rajat Kanti Nath, Super graphs on Groups - II. https://doi.org/10.48550/arXiv.2401.09912. Submitted to Graphs and Combinatorics, 2024.

[3] P. Gangaeswari, K. Selvakumar, G. Arunkumar. A note on topological indices and the twin classes of graphs. Submitted to Bulletin of Malaysian Mathematical Society. https://doi.org/10.48550/arXiv.2303.12491, 2023.