Random numerical semigroups and a simplicial complex of irreducible semigroups

3 Oct 2017Jesus De LoeraChristopher O'NeillDane Wilburne

We examine properties of random numerical semigroups under a probabilistic model inspired by the Erdos-Renyi model for random graphs. We provide a threshold function for cofiniteness, and bound the expected embedding dimension, genus, and Frobenius number of random semigroups... (read more)

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