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math.CO2020
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…
math.CO2020
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.…