3 citations · 3 across the 5 of their papers we have counts for
8 papers · 1 filter
On connectivity, domination number and spectral radius of the proper enhanced power graphs of finite nilpotent groups
Sudip Bera, Hiranya Kishore Dey
For a group the enhanced power graph of is a graph with vertex set in which two distinct elements are adjacent if and only if there exists an element in …
Combinatorialization of Sury and McLaughlin identities, general linear recurrences in a unified approach
Sudip Bera
In this article we provide with combinatorial proofs of some recent identities due to Sury and McLaughlin. We show that, the solution of a general linear recurrence with constant c…
On the connectivity of enhanced power graph of finite group
Sudip Bera, Hiranya Kishore Dey, Sajal Kumar Mukherjee
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 i…
Generalized power sum and Newton-Girard identities
Sudip Bera, Sajal Kumar Mukherjee
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.…
enumeration of weighted paths on a digraph and block hook determinant
Sudip Bera
In this article, we evaluate determinants of block hook matrices, which are block matrices consist of hook matrices. In particular, we deduce that the determinant of a block hook m…
Combinatorial proofs of the Newton-Girard and Chapman-Costas-Santos identities
Sajal Kumar Mukherjee, Sudip Bera
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…