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.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/6094372 |
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doaj-83c460856b144c94bd24ea305561abfa2020-11-25T02:49:32ZengHindawi LimitedJournal 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Peng Xu Muhammad Ahsan Binyamin Adnan Aslam Wajid Ali Hasan Mahmood Hao Zhou |
| 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 |
| author_facet |
Peng Xu Muhammad Ahsan Binyamin Adnan Aslam Wajid Ali Hasan Mahmood Hao Zhou |
| author_sort |
Peng Xu |
| title |
Characterization of Graphs Associated with the Ideal of Numerical Semigroups |
| title_short |
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_sort |
characterization of graphs associated with the ideal of numerical semigroups |
| publisher |
Hindawi Limited |
| series |
Journal of Mathematics |
| issn |
2314-4629 2314-4785 |
| publishDate |
2020-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2020/6094372 |
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AT pengxu characterizationofgraphsassociatedwiththeidealofnumericalsemigroups AT muhammadahsanbinyamin characterizationofgraphsassociatedwiththeidealofnumericalsemigroups AT adnanaslam characterizationofgraphsassociatedwiththeidealofnumericalsemigroups AT wajidali characterizationofgraphsassociatedwiththeidealofnumericalsemigroups AT hasanmahmood characterizationofgraphsassociatedwiththeidealofnumericalsemigroups AT haozhou characterizationofgraphsassociatedwiththeidealofnumericalsemigroups |
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