๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Distance-Transitivity in Infinite Graphs

โœ Scribed by R.G. Moller


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
178 KB
Volume
60
Category
Article
ISSN
0095-8956

No coin nor oath required. For personal study only.

โœฆ Synopsis


We give a positive answer to a question of Thomassen and Woess; we prove that for an infinite locally finite connected graph with more than one end 2-distancetransitivity implies distance-transitivity.

1994 Academic Press, Iะปc.


๐Ÿ“œ SIMILAR VOLUMES


Locally s-distance transitive graphs
โœ Alice Devillers; Michael Giudici; Cai Heng Li; Cheryl E. Praeger ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 204 KB
Antipodal Distance Transitive Covers of
โœ C.D. Godsil; R.A. Liebler; C.E. Praeger ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 352 KB

A distance-transitive antipodal cover of a complete graph K n possesses an automorphism group that acts 2-transitively on the fibres. The classification of finite simple groups implies a classification of finite 2-transitive permutation groups, and this allows us to determine all possibilities for s

Affine Distance-transitive Graphs with S
โœ J. van Bon; A.A. Ivanov; J. Saxl ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 215 KB

This paper is a contribution to the programme to classify finite distance-transitive graphs and their automorphism groups. We classify pairs ( , G) where is a graph and G is an automorphism group of acting distance-transitively and primitively on the vertex set of , subject to the condition that the

Affine Distance-transitive Graphs: the C
โœ Arjeh M. Cohen; Kay Magaard; Sergey Shpectorov ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 352 KB

We classify the affine distance-transitive graphs with the property that the stabilizer of a vertex is a cross characteristically embedded group of Lie type.

Antipodal Distance-transitive Covers of
โœ A.A. Ivanov; Robert A. Liebler; Tim Penttila; Cheryl E. Praeger ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 480 KB

This paper completes the classification of antipodal distance-transitive covers of the complete bipartite graphs K k , k , where k ัƒ 3 . For such a cover the antipodal blocks must have size r ั€ k . Although the case r ฯญ k has already been considered , we give a unified treatment of r ั€ k . We use d