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Weakly distance-regular digraphs

✍ Scribed by F. Comellas; M.A. Fiol; J. Gimbert; M. Mitjana


Book ID
108167357
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
345 KB
Volume
90
Category
Article
ISSN
0095-8956

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πŸ“œ SIMILAR VOLUMES


Distance-regular digraphs of girth 4
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A digraph is said to be distance-transitive if for all vertices u, v, x, y such that d(u, v) = d(x, y) there is an automorphism w of the digraph such that T(U) = x and T(V) = y. Some examples of distance-transitive digraphs are given in Section 2. Section 3 defines the intersection matrix and gives

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A particular kind of 2-ceU embeddings, called regular, for arc-coloured digraphs is introduced, and a method for constructing both orientable and non-orientable regular embeddings is presented. Furthermore, by using combinatorial concepts and the Euler-Poincar6 formula, we derive upper bounds for bo