ON THE TOROIDAL ANNIHILATING-IDEAL GRAPHS OF A LATTICE
Publish Year: 1396
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
MARBS01_021
تاریخ نمایه سازی: 4 مهر 1396
Abstract:
Let (L; ^;_) be a lattice with a least element 0. The annihilating-ideal graph of L, denoted by AG(L), is a graph whose vertex set is the set of all non-trivial ideals of L and, for every two distinct vertices I and J, the vertex I is adjacent to J if and only ifI ^ J = f0g. In this paper, we study the toroidality of the annihilating-ideal graphs of nite lattices.
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Authors
KHADIJEH. AHMADJAVAHERI
Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran
ATOSSA PARSAPOUR
Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran