On transitive one-factorizations of arc-transitive graphs

被引：1
|
作者：
Fang, X. G. [1 ]
Li, C. H.
Wang, J.
机构：
[1] Peking Univ, LMAM, Sch Math Sci, Beijing, Peoples R China
[2] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China
[3] Univ Western Australia, Sch Math & Stat, Crawley, WA 6009, Australia
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES A | 2007年 / 114卷 / 04期
基金：
澳大利亚研究理事会; 中国国家自然科学基金;
关键词：
transitive factorizations; arc-transitive graphs; factorizations of groups;
D O I：
10.1016/j.jcta.2006.08.008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that transitive 1-factorizations of arc-transitive graphs exist if and only if certain factorizations of their automorphism groups exist. This relation provides a method for constructing and characterizing transitive 1-factorizations for certain classes of arc-transitive graphs. Then a characterization is given of 2-arc-transitive graphs which have transitive 1-factorizations. In this characterization, some 2-arc transitive graphs and their transitive 1-factorizations are constructed. Crown Copyright (c) 2006 Published by Elsevier Inc. All rights reserved.
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页码：692 / 703
页数：12
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