Let G be a group acting symmetrically on a graph 2, let G, be a subgroup of G minimal among those that act symmetrically on 8, and let G2 be a subgroup of G, maximal among those normal subgroups of GI which contain no member except 1 which fixes a vertex of Z. The most precise result of this paper i
Distance-transitive graphs of valency 5, 6 and 7
β Scribed by A.A. Ivanov; A.V. Ivanov; I.A. Faradzhev
- Publisher
- Elsevier Science
- Year
- 1984
- Weight
- 964 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0041-5553
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π SIMILAR VOLUMES
A subgroup G of automorphisms of a graph X is said to be 1 2 -transitive if it is vertex-and edge-but not arc-transitive. The graph X is said to be 1 2 -transitive if Aut X is 1 2 -transitive. The correspondence between regular maps and 1 2 -transitive group actions on graphs of valency 4 is studied
A graph X is said to be 1 2 -transitive if its automorphism group Aut X acts vertex-and edge-, but not arc-transitively on X. Then Aut X induces an orientation of the edges of X. If X has valency 4, then this orientation gives rise to so-called alternating cycles, that is even length cycles in X who
## Abstract With the aid of a computer. we give a regular graph of girth 6 and valency 7, which has 90 vertices and show that this is the unique smallest graph with these properties.
## Abstract The object of this paper is to show tht every planar graph of minimum valency 5 is reconstructible from its family of edgeβdeleted subgraphs.