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Antipodal covering graphs

✍ Scribed by A Gardiner


Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
937 KB
Volume
16
Category
Article
ISSN
0095-8956

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πŸ“œ SIMILAR VOLUMES


Antipodal Distance Transitive Covers of
✍ C.D. Godsil; R.A. Liebler; C.E. Praeger πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 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

Antipodal Distance-transitive Covers of
✍ A.A. Ivanov; Robert A. Liebler; Tim Penttila; Cheryl E. Praeger πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 480 KB

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

On antipodal graphs
✍ R. Aravamudhan; B. Rajendran πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 108 KB

The antipodal graph of a graph G, denoted by A(G), is the graph on the same vertices as of G, two vertices being adjacent if the distance between them is equal to the diameter of G. A graph is said to be antipodal if it is the antipodal graph A (I4) of some graph H. We give a necessary and sufficien

Distance-Regular Graphs withbt=1 and Ant
✍ Makoto Araya; Akira Hiraki; Aleksandar JuriΕ‘iΔ‡ πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 239 KB

Let 1 be a distance-regular graph of diameter d and valency k>2. If b t =1 and 2t d, then 1 is an antipodal double-cover. Consequently, if f >2 is the multiplicity of an eigenvalue of the adjacency matrix of 1 and if 1 is not an antipodal doublecover then d 2f&3. This result is an improvement of God

Distance-regular Graphs with b2=1 and An
✍ Makoto Araya; Akira Hiraki; Aleksandar JurisiΔ‡ πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 234 KB

We show that a distance-regular graph of valency k ΟΎ 2 is antipodal , if b 2 Ο­ 1 . This answers Problem (i) on p . 182 of Brouwer , Cohen and Neumaier [4] .

Antipodal graphs and oriented matroids
✍ Komei Fukuda; Keiichi Handa πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 786 KB

A graph is antipodal if, for every vertex c', there exists exactly one vertex V which is not closer to r than every vertex adjacent to 6. In this paper we consider the problem of characterizing tope graphs of oriented matroids, which constitute a broad class of antipodal graphs. One of the results i