Some properties of intersection graph of a module with an application of the graph of ℤn
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor and 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 Ç 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(Zn). We also give an algorithm for the chromatic number of G(Zn). © 2020, © 2020 Taru Publications.
Açıklama
Anahtar Kelimeler
05C15, 05C25, 05C69, 05E40, 16D10, Chromatic number, Clique number, Intersection graph, Submodule
Kaynak
Journal of Discrete Mathematical Sciences and Cryptography
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
