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Graphs on which a group of orderpqacts edge-transitively

✍ Scribed by Shang-di Chen; Yan-hong Guo

Book ID
107500942
Publisher
SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Year
2010
Tongue
English
Weight
161 KB
Volume
25
Category
Article
ISSN
1005-1031

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πŸ“œ SIMILAR VOLUMES

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✍ Robin Sue Sanders πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 528 KB

In the present paper we find all the graphs on which a dihedral group acts edge-transitively. First we explicitly build the permissible permutation representations of the dihedral group. Then we use this knowledge to find all the graphs on which a dihedral group acts edge-transitively. These graph

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## Abstract A graph having 27 vertices is described, whose automorphism group is transitive on vertices and undirected edges, but not on directed edges.

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We examine edge transitivity of directed graphs. The class of local comparability graphs is defined as the underlying graphs of locally edge transitive digraphs. The latter generalize edge transitive orientations, while local comparability graphs include comparability, anticomparability, and circle