The vertex primitive and vertex bi-primitive s-arc regular graphs
نویسندگان
چکیده
منابع مشابه
The vertex primitive and vertex bi-primitive s-arc regular graphs
A complete classification is given of vertex primitive and vertex bi-primitive s-arc regular graphs with s ≥ 3. In particular, it is shown that the Petersen graph and Coxeter graph are the only vertex primitive 3-arc regular graphs, and that vertex bi-primitive 3-arc regular graphs consist of the complete bipartite graph K3,3, the standard double covers of the Petersen graph and Coxeter graph, ...
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The class of all connected vertex-transitive graphs forms a metric space under a natural combinatorially defined metric. In this paper we study graphs which are limit points in this metric space of the subset consisting of all finite graphs that admit a vertex-primitive group of automorphisms. A description of these limit graphs provides a useful description of the possible local structures of ...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 2010
ISSN: 0095-8956
DOI: 10.1016/j.jctb.2009.11.001