Characterization of Graphs Associated with the Ideal of Numerical Semigroups-Reference-Cited by-同舟云学术

Characterization of Graphs Associated with the Ideal of Numerical Semigroups

Published:2020-09-07 Issue: Volume:2020 Page:1-6
ISSN:2314-4629
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Xu Peng¹²,Binyamin Muhammad Ahsan³^ORCID,Aslam Adnan⁴^ORCID,Ali Wajid³,Mahmood Hasan⁵,Zhou Hao⁶

Affiliation:

1. Institute of Computational Science and Technology, Guangzhou University, Guangzhou, China

2. School of Computer Science of Information Technology, Qiannan Normal University for Nationalities, Duyun 558000, China

3. Department of Mathematics, GC University, Faisalabad, Pakistan

4. Department of Natural Sciences and Humanities, University of Engineering and Technology, Lahore, Pakistan

5. Department of Mathematics, GC University, Lahore, Pakistan

6. Transportation School of Wuhan University of Technology, Wuhan University of Technology, Wuhan 430070, China

Abstract

LetIbe an ideal of a numerical semigroupΛ. We define an undirected graphGIΛwith vertex setvi:i∈Λ∖I∗=Λ∖I−0and edge setvivj⟺i+j∈I. The aim of this article is to discuss the connectedness, girth, completeness, and some other related properties of the graphGIΛ.

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2020/6094372.pdf

Reference23 articles.

1. Applications of graph theory in chemistry

2. Graph theory and networks in Biology

3. INTERSECTION GRAPH OF SUBMODULES OF A MODULE

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