No perfect state transfer in trees with more than 3 vertices

IF 1.2 1区数学 Q1 MATHEMATICS

Journal of Combinatorial Theory Series B Pub Date : 2024-05-10 DOI:10.1016/j.jctb.2024.04.004

Gabriel Coutinho, Emanuel Juliano, Thomás Jung Spier

引用次数: 0

Abstract

We prove that the only trees that admit perfect state transfer according to the adjacency matrix model are $P_{2}$ and $P_{3}$ . This answers a question first asked by Godsil in 2012 and proves a conjecture by Coutinho and Liu from 2015.

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有 3 个以上顶点的树中没有完美的状态转移

我们证明，根据邻接矩阵模型，只有 P2 和 P3 树可以实现完美的状态转移。这回答了 Godsil 在 2012 年首次提出的问题，并证明了 Coutinho 和 Liu 在 2015 年提出的猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Combinatorial Theory Series B 数学-数学

CiteScore

2.70

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal of Combinatorial Theory publishes original mathematical research dealing with theoretical and physical aspects of the study of finite and discrete structures in all branches of science. Series B is concerned primarily with graph theory and matroid theory and is a valuable tool for mathematicians and computer scientists.