Hamilton cycles in vertex-transitive graphs of order 6p

被引：0
|
作者：
Du, Shaofei [1 ]
Zhou, Tianlei [1 ]
机构：
[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
来源：
DISCRETE APPLIED MATHEMATICS | 2025年 / 368卷
基金：
中国国家自然科学基金;
关键词：
Vertex-transitive graph; Hamilton cycle; Automorphism group; Orbital graph; CAYLEY-GRAPHS; COMMUTATOR SUBGROUP; SYMMETRICAL GRAPHS; PERMUTATION-GROUPS; PATHS; DIGRAPHS; PRODUCT; ODD; PQ;
D O I：
10.1016/j.dam.2025.02.033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It was shown by Kutnar and & Scaron;parl in 2009 that every connected vertex-transitive graph of order 6p, where pis a prime, contains a Hamilton path. In this paper, it will be shown that every such graph contains a Hamilton cycle, except for the Petersen graph by replacing each vertex by a triangle. (c) 2025 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页码：165 / 175
页数：11
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