5 citations · 10 across the 6 of their papers we have counts for
6 papers
Certain properties of the enhanced power graph associated with a finite group
Parveen, Jitender Kumar, Siddharth Singh +1
The enhanced power graph of a finite group , denoted by , is the simple undirected graph whose vertex set is and two distinct vertices are adjacent…
The power index of a graph
Xuanlong Ma, Min Feng, Kaishun Wang
The {\em power index} of a graph is the least order of a group such that can embed into the power graph of . Furthermore, this group is {\em -optimal}…
The strong metric dimension of the power graph of a finite group
Xuanlong Ma, Min Feng, Kaishun Wang
We characterize the strong metric dimension of the power graph of a finite group. As applications, we compute the strong metric dimension of the power graph of a cyclic group, an a…
On finite groups all of whose cubic Cayley graphs are integral
Xuanlong Ma, Kaishun Wang
For any positive integer , let denote the set of finite groups such that all Cayley graphs are integral whenever . Est${\rm \acute…
The full automorphism group of the power (di)graph of a finite group
Min Feng, Xuanlong Ma, Kaishun Wang
We describe the full automorphism group of the power (di)graph of a finite group. As an application, we solve a conjecture proposed by Doostabadi, Erfanian and Jafarzadeh in 2013.
On the power graph of a finite group
Min Feng, Xuanlong Ma, Kaishun Wang
The power graph of a finite group is the graph with the vertex set , where two elements are adjacent if one is a power of the other. We first show that $\math…