19 citations · 63 across the 28 of their papers we have counts for
5 papers · 1 filter
Flashcard games
Joel Brewster Lewis, Nan Li
We study a certain family of discrete dynamical processes introduced by Novikoff, Kleinberg and Strogatz that we call flashcard games. We prove a number of results on the evolution…
Unimodular equivalence of order and chain polytopes
Takayuki Hibi, Nan Li
The problem when the order polytope and the chain polytope of a finite partially ordered set are unimodularly equivalent will be solved.
An Eulerian permutation statistic and generalizations
Travis Hance, Nan Li
Recently, the second author studied an Eulerian statistic (called cover) in the context of convex polytopes, and proved an equal joint distribution of (cover,des) with (des,exc). I…
A canonical expansion of the product of two Stanley symmetric functions
Nan Li
We study the problem of expanding the product of two Stanley symmetric functions into Stanley symmetric functions in some natural way. Our approach is to consider a…
Chain polytopes and algebras with straightening laws
Takayuki Hibi, Nan Li
It will be shown that the toric ring of the chain polytope of a finite partially ordered set is an algebra with straightening laws on a finite distributive lattice. Thus in particu…