On facet gaps of order and chain polytopes
Ghislain Fourier
Abstract
We discuss three questions from a recent paper of Bhandari, Cunningham, Morrell, Oh and Smith. We obtain an exact local formula for the facet gap between the order and the chain polytope of a finite poset. This gives a classification of the case (P)=2 in terms of star elements. For marked chain--order polytopes, the same local weights determine the facet differences between all admissible decompositions.
Create a lesson
Related papers
Simple Cayley permutations
Giulio Cerbai, Anders Claesson
Transfer of difference structures: a new semidirect product framework
Sophie Huczynska, Struan McCartney, Carys Williams
Connected Mutual-Visibility in Graphs
Tonny K B, Shikhi M
Decomposing Gorenstein polytopes of large index
Johannes Knupfer, Benjamin Nill
A non-trivial bound for 3AP-intersecting families
Peter Keevash
Solution to a conjecture on integral uniform hypercycles
Joyentanuj Das, Iswar Mahato