Cycles in the cycle prefix digraph

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2000 Spain English Publisher:Combinatorial Press, Winnipeg, MBJournal:Ars Comb., volume 60

Authors: Comellas Padró, Francesc de Paula; Mitjana Riera, Margarida;

handle: 2117/805

Cycles in the cycle prefix digraph

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Abstract

Cycle prefix digraphs are a class of Cayley coset graphs with many remarkable properties such as symmetry, large number of nodes for a given degree and diameter, simple shortest path routing, Hamiltonicity, optimal connectivity, and others. In this paper we show that the cycle prefix digraphs, like the Kautz digraphs, contain cycles of all lengths l, with l between two and N, the order of the digraph, except for N-1.

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Spain

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Keywords

Graph theory, Grafs, pancyclicity, Kautz digraphs, Teoria de, vertex symmetric digraphs, Grafs, Teoria de, Directed graphs (digraphs), tournaments, Classificació AMS::05 Combinatorics::05C Graph theory, cycle prefix digraph, :05 Combinatorics::05C Graph theory [Classificació AMS], Paths and cycles, interconnection networks

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