On transitive one-factorizations of arc-transitive graphs

X.G. Fang, Cai-Heng Li, J. Wang

    Research output: Contribution to journalArticle

    Abstract

    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.
    Original languageEnglish
    Pages (from-to)692-703
    JournalJournal of Combinatorial Theory Series A
    Volume114
    Issue number4
    DOIs
    Publication statusPublished - 2007

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