Common neighborhood spectrum and energy of commuting graphs of finite rings.

Autor: Fasfous, Walaa Nabil Taha, Nath, Rajat Kanti
Předmět:
Zdroj: Palestine Journal of Mathematics; 2024, Vol. 13 Issue 1, p66-76, 11p
Abstrakt: The commuting graph of a finite non-commutative ring R with center Z(R) is a simple undirected graph whose vertex set is RnZ(R) and two distinct vertices x; y are adjacent if and only if xy = yx. In this paper, we compute the common neighborhood spectrum and energy of commuting graphs of some classes of finite rings. Our computations show that commuting graphs of the rings considered in this paper are CN-integral but not CN-hyperenergetic. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index