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.
Citation
Zhiyun Cheng. Sujoy Mukherjee. Józef H. Przytycki. Xiao Wang. Seung Yeop Yang. "Rooted trees with the same plucking polynomial." Osaka J. Math. 56 (3) 661 - 674, July 2019.
