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On the Planarity of Graphs Associated with Symmetric and Pseudo Symmetric Numerical Semigroups.
- Source :
-
Mathematics (2227-7390) . Apr2023, Vol. 11 Issue 7, p1681. 11p. - Publication Year :
- 2023
-
Abstract
- Let S (m , e) be a class of numerical semigroups with multiplicity m and embedding dimension e. We call a graph G S an S (m , e) -graph if there exists a numerical semigroup S ∈ S (m , e) with V (G S) = { x : x ∈ g (S) } and E (G S) = { x y ⇔ x + y ∈ S } , where g (S) denotes the gap set of S. The aim of this article is to discuss the planarity of S (m , e) -graphs for some cases where S is an irreducible numerical semigroup. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MULTIPLICITY (Mathematics)
*CAYLEY graphs
*PLANAR graphs
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 11
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 163043031
- Full Text :
- https://doi.org/10.3390/math11071681