Our aim was to find bus interconnection networks which connect as many processors as possible, for given upper bounds on the number of connections per processor, the number of processors per bus, and the network diameter. Point-to-point networks are a special case of bus networks in which every bus
The Spectrum of de Bruijn and Kautz Graphs
β Scribed by C. Delorme; J.-P. Tillich
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 187 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
β¦ Synopsis
We give here a complete description of the spectrum of de Bruijn and Kautz graphs. It is well known that spectral techniques have proved to be very useful tools to study graphs, and we give some examples of application of our result, by deriving tight bounds on the expansion parameters of those graphs.
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This paper shows that in the undirected binary de Bruijn graph of dimension n . UB(n), which has diameter n , there exist at least two internally vertex disjoint paths of length at most n between any two vertices. In other words, the 2-diameter of U B ( n ) is equal to its diameter n .
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