Title : ( The annihilating-ideal graph of a lattice )
Authors: مژگان افخمی گلی , solmaz bahrami , Kazem Khashyarmanesh , faezeh shahsavar ,
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Abstract
Let L be a lattice with a least element called zero and denoted by 0.The annihilating-ideal graph of L , denoted by AG(L), is a graph whose vertex-set is the set of all nontrivial ideals of L and, for every two distinct vertices I and J, I is adjacent to J if and only if I ^ J={0}. In this paper, we study some properties of AG(L). Also, we completely determine when the annihilating-ideal graph is complete bipartite, split and end-regular.
Keywords
, Lattice, Annihilating-ideal graph, Split graph, Simplicial vertex
@article{paperid:1050134,
author = {مژگان افخمی گلی and Bahrami, Solmaz and Khashyarmanesh, Kazem and Shahsavar, Faezeh},
title = {The annihilating-ideal graph of a lattice},
journal = {Georgian Mathematical Journal},
year = {2016},
volume = {23},
number = {1},
month = {February},
issn = {1072-947X},
pages = {1--7},
numpages = {6},
keywords = {Lattice; Annihilating-ideal graph; Split graph; Simplicial vertex},
}
%0 Journal Article
%T The annihilating-ideal graph of a lattice
%A مژگان افخمی گلی
%A Bahrami, Solmaz
%A Khashyarmanesh, Kazem
%A Shahsavar, Faezeh
%J Georgian Mathematical Journal
%@ 1072-947X
%D 2016
