@misc{10498/34502, year = {2018}, url = {http://hdl.handle.net/10498/34502}, abstract = {Let C ⊂ Q_+^p be a rational cone. An affine semigroup S ⊂ C is a C-semigroup whenever (C \ S) ∩ Np has only a finite number of elements. In this work, we study the tree of C-semigroups, give a method to generate it and study the C-semigroups with minimal embedding dimension.We extendWilf’s conjecture for numerical semigroups to C-semigroups and give some families of C-semigroups fulfilling the extended conjecture. Other conjectures formulated for numerical semigroups are also studied for C-semigroups.}, publisher = {Springer}, keywords = {Affine semigroup}, keywords = {Embedding dimension}, keywords = {Frobenius number}, keywords = {Genus}, keywords = {Semigroup tree}, keywords = {Wilf’s conjecture}, title = {An extension of Wif's conjecture to affine semigroups}, doi = {10.1007/s00233-017-9906-1}, author = {García García, Juan Ignacio and Marín Aragón, Daniel and Vigneron Tenorio, Alberto}, }