Title : ( The cayley sum graph of ideals of a lattice )
Authors: Mojgan Afkhami , Mehdi Hassankhani , Kazem Khashyarmanesh ,
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Abstract
Let L be a lattice, I(L) be the set of ideals of L and S be a subset of I(L). In this paper, we introduce an undirected Cayley graph of L, denoted by L,S with elements of I(L) as the vertex set and, for two distinct vertices I and J, I is adjacent to J if and only if there is an element K of S such that I ∨K = J or J ∨K = I. We study some basic properties of the graph ????L,S such as connectivity, girth and clique number. Moreover, we investigate the planarity, outerplanarity and ring graph of L,S.
Keywords
, lattice, Cayley graph, ring graph, outerplanar graph.
@article{paperid:1083411,
author = {Mojgan Afkhami and Hassankhani, Mehdi and Khashyarmanesh, Kazem},
title = {The cayley sum graph of ideals of a lattice},
journal = {Discussiones Mathematicae - General Algebra and Applications},
year = {2020},
volume = {40},
number = {2},
month = {January},
issn = {1509-9415},
pages = {217--230},
numpages = {13},
keywords = {lattice; Cayley graph; ring graph; outerplanar graph.},
}
%0 Journal Article
%T The cayley sum graph of ideals of a lattice
%A Mojgan Afkhami
%A Hassankhani, Mehdi
%A Khashyarmanesh, Kazem
%J Discussiones Mathematicae - General Algebra and Applications
%@ 1509-9415
%D 2020
