This paper deals with the vertex connectivity of enhanced power graphs of finite groups. We
classify all abelian groups G such that the vertex connectivity of enhanced power graph of G …

In this paper, we give a combinatorial interpretation of the cardinality of the relative homology
group H d − 1 ( F , R ) for any rooted forest ( F , R ) in a triangulated closed d-manifold M d , …

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 …

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. …

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 …

In this paper, we give combinatorial proofs of some determinantal identities. In fact, we give
a combinatorial proof of a theorem of RP Stanley regarding the enumeration of paths in …

… Author links open overlay panel Sajal Kumar Mukherjee , Sudip Bera … Bera, SK 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. Also …

In this paper, we prove that a ‘punctured’ closed, connected, orientable triangulated manifold
is simple homotopy equivalent to any of its roots. We also emphasize that this phenomena …

Cancer is driven by genomic alterations, but the processes causing this disease are largely
performed by proteins. However, proteins are harder and more expensive to measure than …