The Weisfeiler-Leman stabilization of a tree

IF 1.2 2区数学 Q2 MATHEMATICS

Journal of Combinatorial Theory Series A Pub Date : 2025-08-13 DOI:10.1016/j.jcta.2025.106099

Jing Xu , Tatsuro Ito , Shuang-Dong Li

引用次数: 0

Abstract

For the Weisfeiler-Leman stabilization, we introduce a concept, which we call the coherent length, to measure how long it takes. We show that the coherent length is at most 8 for trees, using the structures of their T-algebras and of the centralizer algebras of their automorphism groups.

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树的Weisfeiler-Leman稳定化

对于Weisfeiler-Leman稳定化，我们引入了一个概念，我们称之为相干长度，来测量它需要多长时间。利用树的t代数及其自同构群的中心化代数的结构，证明了树的相干长度最多为8。

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 A 数学-数学

CiteScore

2.90

自引率

9.10%

发文量

审稿时长

12 months

期刊介绍： The Journal of Combinatorial Theory publishes original mathematical research concerned with theoretical and physical aspects of the study of finite and discrete structures in all branches of science. Series A is concerned primarily with structures, designs, and applications of combinatorics and is a valuable tool for mathematicians and computer scientists.