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Threshold Channel Graphs

Published online by Cambridge University Press:  12 September 2008

Miro Kraetzl  and
Charles J. Colbourn
Miro Kraetzl
Affiliation:
Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, CANADA N2L 3G1
Charles J. Colbourn
Affiliation:
Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, CANADA N2L 3G1
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Abstract

A transformation that increases the blocking probability of the channel graphs arising in interconnection networks is developed. This provides the basis for eminently computing a bound on the blocking probability by applying the transformation to reduce an arbitrary four-stage channel graph to a threshold channel graph. The four-stage channel graph that is most likely to block, given links that are equally likely to block, is characterized. Partial results are proved concerning the threshold channel graphs that are least likely to block.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 2 , Issue 3 , September 1993 , pp. 337 - 349
Copyright
Copyright © Cambridge University Press 1993

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References

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