2 research outputs found
A note on the distance spectra of co-centralizer graphs
Let be a finite non abelian group. The centralizer graph of is a
simple undirected graph , whose vertex set consists of proper
centralizers of and two vertices are adjacent if and only if their
cardinalities are identical [6]. We call the complement of the centralizer
graph as the co-centralizer graph. In this paper, we investigate the distance,
distance (signless) Laplacian spectra of co-centralizer graphs of some classes
of finite non-abelian groups, and obtain some conditions on a group so that the
co-centralizer graph is distance, distance (signless) Laplacian integral.Comment: arXiv admin note: substantial text overlap with arXiv:2208.0061