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On the number of cycles in generalized Kautz digraphs

โœ Scribed by Toru Hasunuma; Yosuke Kikuchi; Takeshi Mori; Yukio Shibata


Book ID
108113421
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
281 KB
Volume
285
Category
Article
ISSN
0012-365X

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We show that in the Kautz digraph K(d, t) with d' + d'-1 vertices each having out degree d, there exist d vertex-disjoint paths between any pair of distinct vertices, one of length at most t, d -2 of length at most t + 1, and one of length at most t + 2.