We show that the digraphs proposed independently by lmase and Itoh, and Reddy, Radhan and Kuhl to minimize diameters essentially retain all the nice properties of de Bruijn digraphs and yet are applicable to any number of nodes. In particular we give results on the number of loops, the link connecti
The Hamiltonian property of generalized de Bruijn digraphs
β Scribed by D.Z Du; D.F Hsu; F.K Hwang; X.M Zhang
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 512 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0095-8956
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In this paper, we count small cycles in generalized de Bruijn digraphs. Let n Γ pd h , where d Γ / p, and g l Γ gcd(d l 0 1, n). We show that if p Γ΅ d 3 and k Β°ο£°log d nο£» / 1, or p ΓΊ d 3 and k Β°h / 3, then the number of cycles of length k in a generalized de Bruijn digraph G B (n, d) is given by 1/ k
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