Locally primitive Cayley graphs of dihedral groups

Authors:
Jiangmin Pan
Affiliations:
-
Venue:
European Journal of Combinatorics
Year:
2014

Citing 10
Cited 0

On weakly symmetric graphs of order twice a prime

Journal of Combinatorial Theory Series B
On finite affine 2-arc transitive graphs

European Journal of Combinatorics - Special issue: association schemes
A Classification of 2-Arc-Transitive Circulants

Journal of Algebraic Combinatorics: An International Journal
On 2-arc-transitive covers of complete graphs

Journal of Combinatorial Theory Series B
On 2-arc-transitivity of Cayley graphs

Journal of Combinatorial Theory Series B
Finite 2-arc-transitive abelian Cayley graphs

European Journal of Combinatorics
Classification of 2-arc-transitive dihedrants

Journal of Combinatorial Theory Series B
One-regular graphs of square-free order of prime valency

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On locally primitive Cayley graphs of finite simple groups

Journal of Combinatorial Theory Series A
Locally 2-arc-transitive complete bipartite graphs

Journal of Combinatorial Theory Series A

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Abstract

A graph @C is called locally-primitive if the vertex stabilizer (Aut@C)"@a is primitive on the neighbor set of @a for each vertex @a. In this paper, we classify locally-primitive Cayley graphs of dihedral groups, while 2-arc-transitive Cayley graphs of dihedral groups have been classified by a series of papers in the literature.