价数为 6 的边先验图的完整分类

IF 0.7 3区数学 Q2 MATHEMATICS

Discrete Mathematics Pub Date : 2024-08-12 DOI:10.1016/j.disc.2024.114205

引用次数: 0

摘要

2020 年，第一作者和潘建伟证明了第 6 价的每一个边直角图都是 2 弧传递的，除了完整的双方形图 K6,6 外，其自形群几乎是简单的，并确定了这类图具有可解的边稳定器。这项工作解决了不可解边稳定器的情况，从而对价数 6 的边直角图进行了完整的分类。

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A complete classification of edge-primitive graphs of valency 6

In 2020, the first author and Pan proved that every edge-primitive graph of valency 6 is 2-arc-transitive, and except the complete bipartite graph $K_{6, 6}$ , the automorphism group is almost simple, and they determined such graphs having a solvable edge stabilizer. The nonsolvable edge stabilizer case is settled in this work, which leads to a complete classification of edge-primitive graphs of valency 6.

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来源期刊

Discrete Mathematics 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

424

审稿时长

6 months

期刊介绍： Discrete Mathematics provides a common forum for significant research in many areas of discrete mathematics and combinatorics. Among the fields covered by Discrete Mathematics are graph and hypergraph theory, enumeration, coding theory, block designs, the combinatorics of partially ordered sets, extremal set theory, matroid theory, algebraic combinatorics, discrete geometry, matrices, and discrete probability theory. Items in the journal include research articles (Contributions or Notes, depending on length) and survey/expository articles (Perspectives). Efforts are made to process the submission of Notes (short articles) quickly. The Perspectives section features expository articles accessible to a broad audience that cast new light or present unifying points of view on well-known or insufficiently-known topics.