21 citations · 95 across the 33 of their papers we have counts for
6 papers · 1 filter
On -distance-transitive graphs
Hui Zhou, Cheryl Praeger, Michael Giudici +2
Distance-regular graphs have many beautiful combinatorial properties. Distance-transitive graphs have very strong symmetries, and they are distance-regular, i.e. distance-transitiv…
The Minkowski Property and Reflexivity of Marked Poset Polytopes
Xin Fang, Ghislain Fourier, Christoph Pegel
We provide a Minkowski sum decomposition of marked chain-order polytopes into building blocks associated to elementary markings and thus give an explicit minimal set of generators…
Symmetries on plabic graphs and associated polytopes
Xin Fang, Ghislain Fourier
For Grassmann varieties, we explain how the duality between the Gelfand-Tsetlin polytopes and the Feigin-Fourier-Littelmann-Vinberg polytopes arises from different positive structu…
A Continuous Family of Marked Poset Polytopes
Xin Fang, Ghislain Fourier, Jan-Philipp Litza +1
For any marked poset we define a continuous family of polytopes, parametrized by a hypercube, generalizing the notions of marked order and marked chain polytopes. By providing tran…
Toric degenerations of Gr(2,n) and Gr(3,6) via plabic graphs
Lara Bossinger, Xin Fang, Ghislain Fourier +2
We establish an explicit bijection between the toric degenerations of the Grassmannian arising from maximal cones in tropical Grassmannians and the ones coming f…
Generalized Matsumoto-Tits sections and quantum quasi-shuffle algebras
Xin Fang
In this paper generalized Matsumoto-Tits sections lifting permutations to the algebra associated to a generalized virtual braid monoid are defined. They are then applied to study t…