NDLI: Graphs whose full automorphism group is a symmetric group

Content Provider	Scilit
Author	Liebeck, Martin W.
Copyright Year	1988
Description	We address the problem of describing all graphs Γ such that Aut Γ is a symmetric group, subject to certain restrictions on the sizes of the orbits of Aut Γ on vertices. As a corollary of our general results, we obtain a classification of all graphs Γ on v vertices with Aut Γ ≅ $S_{n}$, where ν < min{5n, ½n(n – 1)}.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/1F6DC9F8F221636773B512566B8B6AAB/S1446788700031360a.pdf/div-class-title-graphs-whose-full-automorphism-group-is-a-symmetric-group-div.pdf
Ending Page	63
Page Count	18
Starting Page	46
ISSN	02636115
DOI	10.1017/s1446788700031360
Journal	Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
Issue Number	1
Volume Number	44
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1988-02-01
Access Restriction	Open
Subject Keyword	Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics Applied Mathematics
Content Type	Text
Resource Type	Article

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Graphs whose full automorphism group is a symmetric group