Electronic Journal of Graph Theory and Applications (EJGTA)Vol 10, No 2 (2022): Electronic Journal of Graph Theory and Applications
Perfect matching transitivity of circulant graphs.
Isaac Armando Reiter(Kutztown University of Pennsylvania, Kutztown, PA) Ju Zhou(Kutztown University of Pennsylvania, Kutztown, PA)
Article Info
Publish Date 29 Oct 2022
Abstract
A graph G is perfect matching transitive, shortly PM-transitive, if for any two perfect matchings M1 and M2 of G, there is an automorphism f : V(G)↦V(G) such that fe(M1)=M2, where fe(uv)=f(u)f(v). In this paper, the authors completely characterize the perfect matching transitivity of circulant graphs of order less than or equal to 10.
The Electronic Journal of Graph Theory and Applications (EJGTA) is a refereed journal devoted to all areas of modern graph theory together with applications to other fields of mathematics, computer science and other sciences. The journal is published by the Indonesian Combinatorial Society ...