The power graph Γ(G) of a finite group G is the undirected simple graph with the vertex set G, where two elements are adjacent if one is a power of the other. In this paper, the matching number of power graphs of finite groups are investigated and groups whose power graphs possess perfect matching are obtained.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.