Counting Numerical Semigroups by Genus and Even Gaps via Kunz-Coordinate Vectors
Counting Numerical Semigroups by Genus and Even Gaps via Kunz-Coordinate Vectors
We construct a one-to-one correspondence between a subset of numerical semigroups with genus g and γ even gaps and the integer points of a rational polytope. In particular, we give an overview to apply this correspondence to try to decide if the sequence (ng) is increasing, where ng denotes the …