Characterization of Graphs Associated with the Ideal of Numerical Semigroups
Let I be an ideal of a numerical semigroup Λ. We define an undirected graph GIΛ with vertex set vi:i∈Λ∖I∗=Λ∖I−0 and edge set vivj⟺i+j∈I. The aim of this article is to discuss the connectedness, girth, completeness, and some other related properties of the graph GIΛ.
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/6094372 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832546956483756032 |
|---|---|
| author | Peng Xu Muhammad Ahsan Binyamin Adnan Aslam Wajid Ali Hasan Mahmood Hao Zhou |
| author_facet | Peng Xu Muhammad Ahsan Binyamin Adnan Aslam Wajid Ali Hasan Mahmood Hao Zhou |
| author_sort | Peng Xu |
| collection | DOAJ |
| description | Let I be an ideal of a numerical semigroup Λ. We define an undirected graph GIΛ with vertex set vi:i∈Λ∖I∗=Λ∖I−0 and edge set vivj⟺i+j∈I. The aim of this article is to discuss the connectedness, girth, completeness, and some other related properties of the graph GIΛ. |
| format | Article |
| id | doaj-art-83c460856b144c94bd24ea305561abfa |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-83c460856b144c94bd24ea305561abfa2025-02-03T06:46:32ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/60943726094372Characterization of Graphs Associated with the Ideal of Numerical SemigroupsPeng Xu0Muhammad Ahsan Binyamin1Adnan Aslam2Wajid Ali3Hasan Mahmood4Hao Zhou5Institute of Computational Science and Technology, Guangzhou University, Guangzhou, ChinaDepartment of Mathematics, GC University, Faisalabad, PakistanDepartment of Natural Sciences and Humanities, University of Engineering and Technology, Lahore, PakistanDepartment of Mathematics, GC University, Faisalabad, PakistanDepartment of Mathematics, GC University, Lahore, PakistanTransportation School of Wuhan University of Technology, Wuhan University of Technology, Wuhan 430070, ChinaLet I be an ideal of a numerical semigroup Λ. We define an undirected graph GIΛ with vertex set vi:i∈Λ∖I∗=Λ∖I−0 and edge set vivj⟺i+j∈I. The aim of this article is to discuss the connectedness, girth, completeness, and some other related properties of the graph GIΛ.http://dx.doi.org/10.1155/2020/6094372 |
| spellingShingle | Peng Xu Muhammad Ahsan Binyamin Adnan Aslam Wajid Ali Hasan Mahmood Hao Zhou Characterization of Graphs Associated with the Ideal of Numerical Semigroups Journal of Mathematics |
| title | Characterization of Graphs Associated with the Ideal of Numerical Semigroups |
| title_full | Characterization of Graphs Associated with the Ideal of Numerical Semigroups |
| title_fullStr | Characterization of Graphs Associated with the Ideal of Numerical Semigroups |
| title_full_unstemmed | Characterization of Graphs Associated with the Ideal of Numerical Semigroups |
| title_short | Characterization of Graphs Associated with the Ideal of Numerical Semigroups |
| title_sort | characterization of graphs associated with the ideal of numerical semigroups |
| url | http://dx.doi.org/10.1155/2020/6094372 |
| work_keys_str_mv | AT pengxu characterizationofgraphsassociatedwiththeidealofnumericalsemigroups AT muhammadahsanbinyamin characterizationofgraphsassociatedwiththeidealofnumericalsemigroups AT adnanaslam characterizationofgraphsassociatedwiththeidealofnumericalsemigroups AT wajidali characterizationofgraphsassociatedwiththeidealofnumericalsemigroups AT hasanmahmood characterizationofgraphsassociatedwiththeidealofnumericalsemigroups AT haozhou characterizationofgraphsassociatedwiththeidealofnumericalsemigroups |