A graph associated to a lattice

被引：11

作者：

Afkhami M. ^{[1
]}

Barati Z. ^{[2
]}

Khashyarmanesh K. ^{[2
]}

机构：

[1] Department of Mathematics, University of Neyshabur

[2] Department of Pure Mathematics, Ferdowsi University of Mashhad

来源：

Ricerche di Matematica | 2014年 / 63卷 / 1期

关键词：

Lattice; Planar graph;

D O I：

10.1007/s11587-013-0164-6

中图分类号：

学科分类号：

摘要：

In this paper, we associate a simple graph to a lattice L, in which the vertex set is being the set of all elements of L, and two distinct vertices x and y are adjacent if x ∨ y ∈ S, when S is a multiplicatively closed subset of L. We denote this graph by ΓS(L). We study some properties of ΓS(L). Moreover, we investigate the planarity of ΓS(L), whenever S is a saturated multiplicatively closed subset of L. © 2013 The Author(s).

引用

页码：67 / 78

页数：11

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