@misc{10498/36333,
year = {2025},
url = {http://hdl.handle.net/10498/36333},
abstract = {Let C⊆Np be an integer cone. A C-semigroup S⊆C is an affine semigroup such that the set C\S is finite. Such C-semigroups are central to our study. We develop new algorithms for computing C-semigroups with specified invariants, including genus, Frobenius element, and their combinations, among other invariants. To achieve this, we introduce a new class of C-semigroups, termed B-semigroups. By fixing the degree lexicographic order, we also research the embedding dimension for both ordinary and mult-embedded N2-semigroups. These results are applied to test some generalizations of Wilf’s conjecture.},
publisher = {Birkhauser},
keywords = {Affine semigroup},
keywords = {C-semigroup},
keywords = {embedding dimension},
keywords = {Frobenius element},
keywords = {generalized numerical semigroup},
keywords = {genus},
keywords = {rooted tree},
keywords = {Wilf’s conjecture},
title = {A computational Approach to the Study of Finite-Complement Submonids of an Affine Cone},
doi = {10.1007/s00025-025-02373-x},
author = {Rosales, J.C. and Tapia Ramos, Raquel and Vigneron Tenorio, Alberto},
}