On the Planarity of Graphs Associated with Symmetric and Pseudo Symmetric Numerical Semigroups

被引：8

作者：

Rao, Yongsheng ^{[1
]}

Binyamin, Muhammad Ahsan ^{[2
]}

Aslam, Adnan ^{[3
]}

Mehtab, Maria ^{[2
]}

Fazal, Shazia ^{[2
]}

机构：

[1] Guangzhou Univ, Inst Comp Sci & Technol, Guangzhou 510006, Peoples R China

[2] GC Univ, Dept Math, Faisalabad 38000, Pakistan

[3] Univ Engn & Technol, Dept Nat Sci & Humanities, Lahore 54000, Pakistan

来源：

MATHEMATICS | 2023年 / 11卷 / 07期

基金：

中国国家自然科学基金;

关键词：

numerical semigroup; Frobenius number; genus; clique number; planarity; ZERO-DIVISOR GRAPH; ARBITRARY MULTIPLICITY;

D O I：

10.3390/math11071681

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let S(m,e) be a class of numerical semigroups with multiplicity m and embedding dimension e. We call a graph G(S) an S(m,e)-graph if there exists a numerical semigroup S?S(m,e) with V(G(S))={x: x ? g (S)} and E(G(S)) = {xy?x+y?s}, where g(S) denotes the gap set of S. The aim of this article is to discuss the planarity of S(m,e)-graphs for some cases where S is an irreducible numerical semigroup.

引用

页数：11

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