Common neighborhood spectrum of commuting graphs of finite groups

• Published in: Algebra and Discrete Mathematics
• Date: 2021
• Main Authors: Fasfous, W.N.T., Sharafdini, R., Nath, R.K.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188716
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Common neighborhood spectrum of commuting graphs of finite groups / W.N.T. Fasfous, R. Sharafdini, R.K. Nath // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 1. — С. 33–48. — Бібліогр.: 24 назв. — англ.

The commuting graph of a finite non-abelian group G with center Z(G), denoted by Гc(G), is a simple undirected graph whose vertex set is G\ Z(G), and two distinct vertices x and y are adjacent if and only if xy = yx. In this paper, we compute the common neighborhood spectrum of commuting graphs of s...