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Classification of numerical 3-semigroups by means of L-shapes

Author
Aguilo, F.; Marijuan, C.
Type of activity
Journal article
Journal
Semigroup forum
Date of publication
2014-06-01
Volume
88
Number
3
First page
670
Last page
688
DOI
https://doi.org/10.1007/s00233-013-9560-1 Open in new window
Project funding
Optimización y problemas extremales en teoria de grafos y combinatoria. Aplicacions a les redes de comunicación
Repository
http://hdl.handle.net/2117/28487 Open in new window
URL
http://link.springer.com/article/10.1007%2Fs00233-013-9560-1 Open in new window
Abstract
We recall L-shapes, which are minimal distance diagrams, related to weighted 2-Cayley digraphs, and we give the number and the relation between minimal distance diagrams related to the same digraph. On the other hand, we consider some classes of numerical semigroups useful in the study of curve singularity. Then, we associate L-shapes to each numerical 3-semigroup and we describe some main invariants of numerical 3-semigroups in terms of their associated L-shapes. Finally, we give a characteriza...
Citation
Aguilo, F.; Marijuan, C. Classification of numerical 3-semigroups by means of L-shapes. "Semigroup forum", 01 Juny 2014, vol. 88, núm. 3, p. 670-688.
Keywords
Cayley digraph, Curve plane semigroup, Free, Frobenius number, L-shape, NETWORKS, Numerical semigroup, Symmetric
Group of research
COMBGRAPH - Combinatorics, Graph Theory and Applications

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