On the number of L-shapes in embedding dimension four
Abstract
Minimum distance diagrams, also known as L--shapes, have been used to study some properties related to weighted Cayley digraphs of degree two and embedding dimension three numerical semigroups. In this particular case, it has been shown that these discrete structures have at most two related L--shapes. These diagrams are proved to be a good tool for studing factorizations and the catenary degree for semigroups and diameter and distance between vertices for digraphs.
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