The partial line digraph technique in the design of large interconnection networks

The following problem arises in the design of some interconnection networks for distributed systems. Namely, to construct digraphs with given maximum out-degree, reduced diameter, easy routing, good connectivity, and good expandability. To this end, a method based on the concept of partial line digr...

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Vydáno v:IEEE transactions on computers Ročník 41; číslo 7; s. 848 - 857
Hlavní autoři: Fiol, M.A., Llado, A.S.
Médium: Journal Article Publikace
Jazyk:angličtina
Vydáno: New York, NY IEEE 01.07.1992
Institute of Electrical and Electronics Engineers
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ISSN:0018-9340
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Shrnutí:The following problem arises in the design of some interconnection networks for distributed systems. Namely, to construct digraphs with given maximum out-degree, reduced diameter, easy routing, good connectivity, and good expandability. To this end, a method based on the concept of partial line digraph is presented. This proposal, which turns out to be a generalization of the so-called line digraph technique, allows digraphs that satisfy all the above-mentioned requirements to be obtained. In particular, it is shown that the partial line digraphs of Kautz digraphs solve the (d, N) digraph problem, i.e. to minimize the diameter D in a digraph of maximum out-degree d and number of vertices N, for any N in the range d/sup D-1/+d/sup D-2/+. . .+1<or=N<or=d/sup D/+d/sup D-1/.< >
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ISSN:0018-9340
DOI:10.1109/12.256453