Strict unimodality of plucking polynomials of rooted trees-Reference-Cited by-同舟云学术

Strict unimodality of plucking polynomials of rooted trees

Published:2018-06 Issue:07 Volume:27 Page:1841009
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Cheng Zhiyun¹,Mukherjee Sujoy²,Przytycki Józef H.²³,Wang Xiao²,Yang Seung Yeop⁴

Affiliation:

1. Beijing Normal University, Beijing 100875, P. R. China

2. The George Washington University, Washington, DC 20052, USA

3. University of Gdańsk, Poland

4. University of Denver, Denver, CO 80208, USA

Abstract

We classify rooted trees which have strictly unimodal plucking polynomials ([Formula: see text]-polynomials). We also give criteria for a trapezoidal shape of a plucking polynomial. We generalize results of Pak and Panova on strict unimodality of [Formula: see text]-binomial coefficients.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216518410092

Reference13 articles.

1. Realization of plucking polynomials

2. Catalan states of lattice crossing

3. Quantum Calculus

4. An invariant of regular isotopy

5. A Partition of L(3, n) into Saturated Symmetric Chains

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