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The structure of max ?-minm?+1 graphs used in the design of reliable networks

โœ Scribed by Wang, Guifang; Zhang, Lianzhu


Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
235 KB
Volume
30
Category
Article
ISSN
0028-3045

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โœฆ Synopsis


It was proved that the design problem of the reliable networks for ''small'' edge failure probability is equivalent to finding a max l-min m l graph for given numbers of nodes n and edges e with l ร… [2e/n] by Bauer et al. Furthermore, at least a max l-min m l graph was given for each pair of n and e(ยขn) in another paper by Bauer et al. In the present paper, we first generalize the notion of a max l-min m l graph to a max l-min m i graph ( i ยข l); then we discuss the case of i ร… l / 1 and show that any max l-min m l/1 graph is max l-min m l and give at least a max l-min m l/1 graph for each pair of positive integers n and e.


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