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pro vyhledávání: '"Mukherjee, Sajal Kumar"'
This paper deals with the vertex connectivity of enhanced power graph of finite group. We classify all abelian groups G such that vertex connectivity of enhanced power graph of G is 1. We derive an upper bound of vertex connectivity for the enhanced
Externí odkaz:
http://arxiv.org/abs/2007.03217
Autor:
Bera, Sudip, Mukherjee, Sajal Kumar
In this article we prove an algebraic identity which significantly generalizes the formula for sum of powers of consecutive integers involving Stirling numbers of the second kind. Also we have obtained a generalization of Newton-Girard power sum iden
Externí odkaz:
http://arxiv.org/abs/2004.14590
Autor:
Mukherjee, Sajal Kumar, Bera, Sudip
In this paper we give combinatorial proofs of some well known identities and obtain some generalizations. We give a visual proof of a result of Chapman and Costas-Santos regarding the determinant of sum of matrices. Also we find a new identity expres
Externí odkaz:
http://arxiv.org/abs/1807.11749
Autor:
Bhuniya, A. K., Mukherjee, Sajal Kumar
The power graph $P(G)$ of a finite group $G$ is the graph with vertex set $G$ and two distinct vertices are adjacent if either of them is a power of the other. Here we show that the power graph $P(G_1 \times G_2)$ of the direct product of two groups
Externí odkaz:
http://arxiv.org/abs/1606.07258
Autor:
Mukherjee, Sajal Kumar, Bhuniya, A. K.
In this article, we give an elementary combinatorial proof of a conjecture about the determination of automorphism group of the power graph of finite cyclic groups, proposed by Doostabadi, Erfanian and Jafarzadeh in 2013.
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
http://arxiv.org/abs/1606.07204
Autor:
Mukherjee, Sajal Kumar
Publikováno v:
In Topology and its Applications 15 September 2018 247:50-56
Autor:
Mukherjee, Sajal Kumar, Bera, Sudip
Publikováno v:
In Linear Algebra and Its Applications 15 June 2018 547:124-127
Akademický článek
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Publikováno v:
Linear & Multilinear Algebra; Mar2023, Vol. 71 Issue 4, p545-551, 7p
Akademický článek
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