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Fault tolerant graphs, perfect hash functions and disjoint paths

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7 Author(s)
M. Ajtai ; IBM Almaden Res. Center, San Jose, CA, USA ; N. Alon ; J. Bruck ; R. Cypher
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Given a graph G on n nodes the authors say that a graph T on n + k nodes is a k-fault tolerant version of G, if one can embed G in any n node induced subgraph of T. Thus T can sustain k faults and still emulate G without any performance degradation. They show that for a wide range of values of n, k and d, for any graph on n nodes with maximum degree d there is a k-fault tolerant graph with maximum degree O(kd). They provide lower bounds as well: there are graphs G with maximum degree d such that any k-fault tolerant version of them has maximum degree at least Ω(d√k)

Published in:

Foundations of Computer Science, 1992. Proceedings., 33rd Annual Symposium on

Date of Conference:

24-27 Oct 1992