35 citations · 74 across the 22 of their papers we have counts for
25 papers
Graph Irregularity Characterization with Particular Regard to Bidegreed Graphs
Ali Ghalavand, Tamás Réti, Igor Z. Milovanović +1
In this study we are interested mainly in investigating the relations between two graph irregularity measures which are widely used for structural irregularity characterization of…
Construction of All Gyrogroups of Orders at most 31
Ali Reza Ashrafi, Kurosh Mavaddat Nezhaad, Mohammad Ali Salahshour
The gyrogroup is the closest algebraic structure to the group ever discovered. It has a binary operation containing an identity element such that each element has an invers…
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…