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The automorphism group of the graph of anRclass

โœ Scribed by J. B. Stephen


Book ID
110561108
Publisher
Springer
Year
1996
Tongue
English
Weight
130 KB
Volume
53
Category
Article
ISSN
0037-1912

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๐Ÿ“œ SIMILAR VOLUMES


Automorphism group and diameter of a gra
โœ P. Dankelmann; D. Erwin; S. Mukwembi; B. G. Rodrigues; E. Mwambene; G. Sabidussi ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 178 KB ๐Ÿ‘ 1 views

## Abstract Given a connected graph ฮ“ of order __n__ and diameter __d__, we establish a tight upper bound for the order of the automorphism group of ฮ“ as a function of __n__ and __d__, and determine the graphs for which the bound is attained. ยฉ 2011 Wiley Periodicals, Inc. J Graph Theory.

Automorphism Groups of Covering Graphs
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For a large class of finite Cayley graphs we construct covering graphs whose automorphism groups coincide with the groups of lifted automorphisms. As an application we present new examples of 1ร‚2-transitive and 1-regular graphs.