符号图、不可定向曲面和整数流

IF 0.9 3区数学 Q2 MATHEMATICS

Journal of Graph Theory Pub Date : 2025-04-16 DOI:10.1002/jgt.23249

You Lu, Rong Luo, Cun-Quan Zhang, Zhang Zhang

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引用次数: 0

摘要

本文将Tutte流动理论中可定向曲面上图的面着色与整数流的对偶关系推广到可定向曲面和不可定向曲面上，并从图在曲面上的嵌入角度研究了Bouchet的6流猜想。因此，我们验证了Bouchet猜想的嵌入图族，其中有一个交叉-收缩电路。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Signed Graphs, Nonorientable Surfaces, and Integer Flows

In this article, we extend the duality relation between face colorings and integer flows of graphs on orientable surfaces in Tutte's flow theory to both orientable and nonorientable surfaces and study Bouchet's 6-flow conjecture from point of embeddings of graphs on surfaces. Consequently, we verify Bouchet's conjecture for a family of embedded graphs, which have a crosscap-contractible circuit.

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来源期刊

Journal of Graph Theory 数学-数学

CiteScore

1.60

自引率

22.20%

发文量

130

审稿时长

6-12 weeks

期刊介绍： The Journal of Graph Theory is devoted to a variety of topics in graph theory, such as structural results about graphs, graph algorithms with theoretical emphasis, and discrete optimization on graphs. The scope of the journal also includes related areas in combinatorics and the interaction of graph theory with other mathematical sciences. A subscription to the Journal of Graph Theory includes a subscription to the Journal of Combinatorial Designs .