On the eigenvalues of zero-divisor graph associated to finite commutative ring

Autor:	S. Pirzada, Bilal A. Wani, A. Somasundaram
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	adjacency matrix zero-divisor graph finite commutative ring euler's totient function Mathematics QA1-939
Zdroj:	AKCE International Journal of Graphs and Combinatorics, Vol 18, Iss 1, Pp 1-6 (2021)
Druh dokumentu:	article
ISSN:	0972-8600 2543-3474 09728600
DOI:	10.1080/09728600.2021.1873060
Popis:	Let Z(R) be the set of zero-divisors of a commutative ring R with non-zero identity and be the set of non-zero zero-divisors of R. The zero-divisor graph of R, denoted by is a simple graph whose vertex set is and two vertices are adjacent if and only if In this paper, we investigate the adjacency matrix and the spectrum of the zero-divisor graphs for where are primes and M, N are positive integers. Moreover, we obtain the clique number, stability number and girth of
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/401ef29e155b4698bd5f982517a2fe0a Zobrazit plný text záznamu View record in DOAJ