A symbolical algorithm on additive basis and double-loop networks

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A symbolical algorithm on additive basis and double-loop networks

A double-loop digraph G=G(N ; s1; s2), with gcd(N; s1; s2)=1, has the set of vertices V =ZN and the adjacencies are given by u → u + si (mod N ) i = 1; 2. The diameter of G, denoted by D(N ; s1; s2), is known to be lower bounded by lb(N ) with D(N ) = min 16s1¡s2¡N; gcd(N;s1 ; s2)=1 D(N ; s1; s2)¿ ⌈√ 3N ⌉ − 2 = lb(N ): This lower bound is known to be sharp. For a 0xed N ∈N, some algorithms to 0...

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 2004

ISSN: 0304-3975

DOI: 10.1016/j.tcs.2004.02.006