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

Autor: Yongsheng Rao, Muhammad Ahsan Binyamin, Adnan Aslam, Maria Mehtab, Shazia Fazal
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Mathematics, Vol 11, Iss 7, p 1681 (2023)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math11071681
Popis: Let S(m,e) be a class of numerical semigroups with multiplicity m and embedding dimension e. We call a graph GS an S(m,e)-graph if there exists a numerical semigroup S∈S(m,e) with V(GS)={x:x∈g(S)} and E(GS)={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.
Databáze: Directory of Open Access Journals
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