128 citations · 473 across the 27 of their papers we have counts for
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Topology of matching complexes of complete graphs via discrete Morse theory
Anupam Mondal, Sajal Mukherjee, Kuldeep Saha
Bouc (1992) first studied the topological properties of , the matching complex of the complete graph of order , in connection with Brown complexes and Quillen complexes. Bj…
Discrete Morse theory and the topology of matching complexes of complete graphs
Anupam Mondal, Sajal Mukherjee, Kuldeep Saha
We denote the matching complex of the complete graph with vertices by . Bouc first studied the topological properties of in connection with the Quillen complex. Late…
On Elser's conjecture and the topology of -nucleus complex
Apratim Chakraborty, Anupam Mondal, Sajal Mukherjee +1
Dorpalen-Barry et al. proved Elser's conjecture about sign of Elser's number by interpreting them as certain sums of reduced Euler characteristics of an abstract simplicial complex…
Generalized Larcombe-Fenessey invariants of matrix powers
Sajal Mukherjee, Sanjay Mukherjee
In this article, we have found significant generalization of the invariance properties of powers of matrices discovered by Larcombe, Fenessey and further explored by Zeilberger. Mo…
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.…