Realization of plucking polynomials

Zhiyun Cheng; Sujoy Mukherjee; Józef H. Przytycki; Xiao Wang; Seung Yeop Yang

doi:10.1142/S0218216517400168

Realization of plucking polynomials

Zhiyun Cheng
, Sujoy Mukherjee
, Józef H. Przytycki
, Xiao Wang
, Seung Yeop Yang

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We give necessary and sufficient conditions for a given polynomial to be a plucking polynomial of a rooted tree. We discuss the fact that different rooted trees can have the same polynomial.

Original language	English
Article number	1740016
Journal	Journal of Knot Theory and its Ramifications
Volume	26
Issue number	2
DOIs	https://doi.org/10.1142/S0218216517400168
State	Published - 1 Feb 2017

Keywords

Gaussian polynomial
Plucking polynomial
q-binomial coefficients
q-polynomial
rooted tree

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10.1142/S0218216517400168

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title = "Realization of plucking polynomials",

abstract = "We give necessary and sufficient conditions for a given polynomial to be a plucking polynomial of a rooted tree. We discuss the fact that different rooted trees can have the same polynomial.",

keywords = "Gaussian polynomial, Plucking polynomial, q-binomial coefficients, q-polynomial, rooted tree",

author = "Zhiyun Cheng and Sujoy Mukherjee and Przytycki, \{J{\'o}zef H.\} and Xiao Wang and Yang, \{Seung Yeop\}",

note = "Publisher Copyright: {\textcopyright} 2017 World Scientific Publishing Company.",

year = "2017",

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doi = "10.1142/S0218216517400168",

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T1 - Realization of plucking polynomials

AU - Cheng, Zhiyun

AU - Mukherjee, Sujoy

AU - Przytycki, Józef H.

AU - Wang, Xiao

AU - Yang, Seung Yeop

PY - 2017/2/1

Y1 - 2017/2/1

N2 - We give necessary and sufficient conditions for a given polynomial to be a plucking polynomial of a rooted tree. We discuss the fact that different rooted trees can have the same polynomial.

AB - We give necessary and sufficient conditions for a given polynomial to be a plucking polynomial of a rooted tree. We discuss the fact that different rooted trees can have the same polynomial.

KW - Gaussian polynomial

KW - Plucking polynomial

KW - q-binomial coefficients

KW - q-polynomial

KW - rooted tree

UR - https://www.scopus.com/pages/publications/84996836578

U2 - 10.1142/S0218216517400168

DO - 10.1142/S0218216517400168

M3 - Article

AN - SCOPUS:84996836578

SN - 0218-2165

VL - 26

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

IS - 2

M1 - 1740016

ER -

Realization of plucking polynomials

Abstract

Keywords

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