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A Recursive Formula for the Reliability of a r-Uniform Complete Hypergraph and Its Applications

2018
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Mathematical Problems in Engineering
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The reliability polynomial R(S,p) of a finite graph or hypergraph S=(V,E) gives the probability that the operational edges or hyperedges of S induce a connected spanning subgraph or subhypergraph, respectively, assuming that all (hyper)edges of S fail independently with an identical probability q=1-p. In this paper, we investigate the probability that the hyperedges of a hypergraph with randomly failing hyperedges induce a connected spanning subhypergraph. The computation of the reliability for

doi:10.1155/2018/3131087
fatcat:azmaf2lyubg4vdnnevwodhbug4