CaTS

CaTS is a software package whose main functions enumerate (1) all reduced Groebner bases of a lattice ideal, and (2) all monomial A-graded ideals that are flip-connected to a given one. Several variants of these enumeration algorithms are supported such as restricting the above enumerations to all initial ideals or monomial A-graded ideals with a fixed radical. CaTS supports several additional commands among which the highlights are: ...