5 citations · 8 across the 8 of their papers we have counts for
4 papers · 1 filter
The unimodality of the Ehrhart -polynomial of the chain polytope of the zig-zag poset
Herman Z. Q. Chen, Philip B. Zhang
We prove the unimodality of the Ehrhart -polynomial of the chain polytope of the zig-zag poset, which was conjectured by Kirillov. First, based on a result due to Stanley, we sh…
The Real-rootedness of Generalized Narayana Polynomials
Herman Z. Q. Chen, Arthur L. B. Yang, Philip B. Zhang
In this paper, we prove the real-rootedness of two classes of generalized Narayana polynomials: one arising as the -polynomials of the generalized associahedron associated to th…
Kirillov's unimodality conjecture for the rectangular Narayana polynomials
Herman Z. Q. Chen, Arthur L. B. Yang, Philip B. Zhang
In the study of Kostka numbers and Catalan numbers, Kirillov posed a unimodality conjecture for the rectangular Narayana polynomials. We prove that the rectangular Narayana polynom…
On universal partial words
Herman Z. Q. Chen, Sergey Kitaev, Torsten Mütze +1
A universal word for a finite alphabet and some integer is a word over such that every word in appears exactly once as a subword (cyclically or linearly). I…