Generalized Cayley Graph Associated to a Lattice

被引：0

作者：

Afkhami, M. ^{[1
]}

Khashyarmanesh, K. ^{[2
]}

Nafar, K. H. ^{[2
]}

机构：

[1] Univ Neyshabur, Dept Math, POB 91136-899, Neyshabur, Iran

[2] Ferdowsi Univ Mashhad, Dept Pure Math, POB 1159-91775, Mashhad, Iran

来源：

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2024年 / 48卷 / 01期

关键词：

Cayley graph; Lattice; Genus of a graph; DIVISOR GRAPH;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let L be a lattice. For a natural number n , we associate a simple graph, denoted by Gamma(n)(L), with L-n \ {0} as the vertex set and two distinct vertices X and Y being adjacent if and only if there exists an n x n lower triangular matrix A over L such that AX(T) = Y-T or AY(T) = X-T, where for a matrix B, B-T is the matrix transpose of B In this paper, we study some basic properties of Gamma(n)(L). Also, we investigate the genus number of the generalized Cayley graph Gamma(n)(L).

引用

页码：1 / 13

页数：13

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