Some properties of intersection graph of a module with an application of the graph of DOUBLE-STRUCK CAPITAL Zn

Küçük Resim Yok

Tarih

2021

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Taylor & Francis Ltd

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

Let R be an unital ring which is not necessarily commutative. The intersection graph of ideals of R is a graph with the vertex set which contains proper ideals of R and distinct two vertices I and J are adjacent if and only if I c J (1) 0 is denoted by G. In this paper, we will give some properties of regular graph, triangle-free graph and clique number of G(M) for a module M. We also characterize girth of an Artinian module with connected module. We characterize the chromatic number of G(Z (n) ). We also give an algorithm for the chromatic number of G(Z (n) ).

Açıklama

Anahtar Kelimeler

Intersection graph, Submodule, Chromatic number, Clique number

Kaynak

Journal of Discrete Mathematical Sciences & Cryptography

WoS Q Değeri

N/A

Scopus Q Değeri

Q3

Cilt

24

Sayı

4

Künye