35 citations · 74 across the 22 of their papers we have counts for
5 papers · 1 filter
On the Number of Matchings in Graphs
Kinkar Ch. Das, Ali Ghalavand, Ali Reza Ashrafi
Suppose is a undirected simple graph. A subset of edges in without common vertices is called a matching and the number of such subsets is denoted by . The a…
Laplacian Coefficients of a Forest in terms of the Number of Closed Walks in the Forest and its Line Graph
Ali Ghalavand, Ali Reza Ashrafi
Let be a finite simple graph with Laplacian polynomial . In an earlier paper, the coefficients and for tree with respec…
General Form of the Automorphism Group of Bicyclic Graphs
Somayeh Madani, Ali Reza Ashrafi
In 1869, Jordan proved that the set of all finite group that can be represented as the automorphism group of a tree is containing the trivial group and it is closed u…
On a Conjecture About the Sombor Index of Graphs
Kinkar Chandra Das, Ali Ghalavand, Ali Reza Ashrafi
Let be a graph with vertex set and edge set . The Sombor and reduced Sombor indices of are defined as and…
Counting Centralizers of a Finite Group with an Application in Constructing the Commuting Conjugacy Class Graph
A. R. Ashrafi, M. A. Salahshour
The set of all centralizers of elements in a finite group is denoted by and is called centralizer if . In this paper, the structure of centrali…