Characterization of Graphs Associated with Numerical Semigroups

Muhammad Ahsan Binyamin, Hafiz Muhammad Afzal Siddiqui, Nida Munawar Khan, Adnan Aslam and Yongsheng Rao
Additional contact information
Muhammad Ahsan Binyamin: Department of Mathematics, Government College University Faisalabad, Punjab 38000, Pakistan
Hafiz Muhammad Afzal Siddiqui: Department of Mathematics, COMSATS Institute of Information Technology, Lahore 54000, Pakistan
Nida Munawar Khan: Department of Mathematics, Government College University Faisalabad, Punjab 38000, Pakistan
Adnan Aslam: Department of Natural Sciences and Humanities, University of Engineering and Technology, Lahore 54000, Pakistan
Yongsheng Rao: Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China

Mathematics, 2019, vol. 7, issue 6, 1-8

Abstract: Let Γ be a numerical semigroup. We associate an undirected graph G ( Γ ) with a numerical semigroup Γ with vertex set { v i : i ∈ N \ Γ } and edge set { v i v j ⇔ i + j ∈ Γ } . In this article, we discuss the connectedness, diameter, girth, and some other related properties of the graph G ( Γ ) .

Keywords: numerical semigroup; complete graph; diameter (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/7/6/557/pdf (application/pdf)
https://www.mdpi.com/2227-7390/7/6/557/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:7:y:2019:i:6:p:557-:d:241059

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().