Strict unimodality of q-polynomials of rooted trees
Combinatorics
2016-01-15 v1 Geometric Topology
Abstract
We classify rooted trees which have strictly unimodal q-polynomials (plucking polynomial). We also give criteria for a trapezoidal shape of a plucking polynomial. We generalize results of Pak and Panova on strict unimodality of q-binomial coefficients. We discuss which polynomials can be realized as plucking polynomials and whether or not different rooted trees can have the same plucking polynomial.
Keywords
Cite
@article{arxiv.1601.03465,
title = {Strict unimodality of q-polynomials of rooted trees},
author = {Zhiyun Cheng and Sujoy Mukherjee and Jozef H. Przytycki and Xiao Wang and Seung Yeop Yang},
journal= {arXiv preprint arXiv:1601.03465},
year = {2016}
}
Comments
26 pages, 14 figures