Rooted trees with the same plucking polynomial

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

Rooted trees with the same plucking polynomial

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

Beijing Normal University
George Washington University
University of Gdańsk
Jilin University

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

3 Scopus citations

Abstract

In this paper we address the following question: When do two rooted trees have the same plucking polynomial? The solution provided in the present paper has an algebraic version (Theorem 2.5) and a geometric version (Theorem 1.2). Furthermore, we give a criterion for a sequence of non-negative integers to be realized as a rooted tree.

Original language	English
Pages (from-to)	661-674
Number of pages	14
Journal	Osaka Journal of Mathematics
Volume	56
Issue number	3
State	Published - 2019

Cite this

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title = "Rooted trees with the same plucking polynomial",

abstract = "In this paper we address the following question: When do two rooted trees have the same plucking polynomial? The solution provided in the present paper has an algebraic version (Theorem 2.5) and a geometric version (Theorem 1.2). Furthermore, we give a criterion for a sequence of non-negative integers to be realized as a rooted tree.",

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

year = "2019",

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pages = "661--674",

journal = "Osaka Journal of Mathematics",

issn = "0030-6126",

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T1 - Rooted trees with the same plucking polynomial

AU - Cheng, Zhiyun

AU - Mukherjee, Sujoy

AU - Przytycki, Józef H.

AU - Wang, Xiao

AU - Yang, Seung Yeop

PY - 2019

Y1 - 2019

N2 - In this paper we address the following question: When do two rooted trees have the same plucking polynomial? The solution provided in the present paper has an algebraic version (Theorem 2.5) and a geometric version (Theorem 1.2). Furthermore, we give a criterion for a sequence of non-negative integers to be realized as a rooted tree.

AB - In this paper we address the following question: When do two rooted trees have the same plucking polynomial? The solution provided in the present paper has an algebraic version (Theorem 2.5) and a geometric version (Theorem 1.2). Furthermore, we give a criterion for a sequence of non-negative integers to be realized as a rooted tree.

UR - https://www.scopus.com/pages/publications/85069934916

M3 - Article

AN - SCOPUS:85069934916

SN - 0030-6126

VL - 56

SP - 661

EP - 674

JO - Osaka Journal of Mathematics

JF - Osaka Journal of Mathematics

IS - 3

ER -

Rooted trees with the same plucking polynomial

Abstract

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