Title
Affine distance-transitive graphs and classical groups
Abstract
This paper finishes the classification of the finite primitive affine distance-transitive graphs by dealing with the only case left open. namely where the generalized Fitting subgroup of the stabilizer of a vertex is modulo scalars a simple group of classical Lie type defined over the characteristic dividing the number of vertices of the graph. All graphs that are found to occur are known.
Year
DOI
Venue
2005
10.1016/j.jcta.2004.11.003
J. Comb. Theory, Ser. A
Keywords
Field
DocType
distance-transitive graphs,modulo scalars,distance-regular graphs,20b25,finite groups,classical lie type,finite primitive affine distance-transitive,classical group,simple group,classical groups,05e30),affine distance-transitive graph,(05c25,generalized fitting subgroup,distance regular graph
Discrete mathematics,Combinatorics,Indifference graph,Modular decomposition,Chordal graph,Cograph,Symmetric graph,Pathwidth,1-planar graph,Mathematics,Split graph
Journal
Volume
Issue
ISSN
110
2
Journal of Combinatorial Theory, Series A
Citations 
PageRank 
References 
1
0.36
4
Authors
3
Name
Order
Citations
PageRank
John Van Bon132.21
Arjeh M. Cohen27615.45
Hans Cuypers3466.45