Graphs Associated with the Ideals of a Numerical Semigroup Having Metric Dimension 2

Graphs Associated with the Ideals of a Numerical Semigroup Having Metric Dimension 2

Let Λ be a numerical semigroup and I⊂Λ be an irreducible ideal of Λ. The graph GIΛ assigned to an ideal I of Λ is a graph with elements of Λ∖I∗ as vertices, and any two vertices x and y are adjacent if and only if x+y∈I. In this work, we give a complete characterization (up to isomorphism) of the gr...

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Veröffentlicht in:Mathematical problems in engineering 2021, Vol.2021, p.1-6
Hauptverfasser: Wang, Ying, Binyamin, Muhammad Ahsan, Ali, Wajid, Aslam, Adnan, Rao, Yongsheng
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Apexes
Generators
Graph theory
Graphs
Isomorphism
Mathematical problems
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Zusammenfassung:Let Λ be a numerical semigroup and I⊂Λ be an irreducible ideal of Λ. The graph GIΛ assigned to an ideal I of Λ is a graph with elements of Λ∖I∗ as vertices, and any two vertices x and y are adjacent if and only if x+y∈I. In this work, we give a complete characterization (up to isomorphism) of the graph GIΛ having metric dimension 2.
ISSN:1024-123X
1563-5147
DOI:10.1155/2021/6697980