2 papers
math.AC2026
Distance Reduction in Bouquet Decompositions and Toric Ideals of Graphs
Oliver Clarke, Dimitra Kosta, Alexander Milner
The distance-reduction property for a generating set, i.e., a Markov basis, of a toric ideal is a condition that ensures tight connectivity of its fibres. In this paper, we study t…
math.AC2024
Distance Reducing Markov Bases
Oliver Clarke, Dimitra Kosta
The distance reducing property for Markov bases is an important property that provides a bound on the mixing time of the associated Markov chain. The goal of this project is to und…