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Enumerating catastrophic fault patterns in VLSI arrays with both uni- and bidirectional links - MaRDI portal

Enumerating catastrophic fault patterns in VLSI arrays with both uni- and bidirectional links (Q2778433)

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scientific article; zbMATH DE number 1715617
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Enumerating catastrophic fault patterns in VLSI arrays with both uni- and bidirectional links
scientific article; zbMATH DE number 1715617

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    Enumerating catastrophic fault patterns in VLSI arrays with both uni- and bidirectional links (English)
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    3 March 2002
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    catastrophic fault patterns
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    combinatorial problems
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    random walk
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    Characterization of Catastrophic Fault Patterns (CFPs) and their enumeration have been studied by several authors. Given a linear array with a set of bypass links, an important problem is how to count the number of CFPs. Enumeration of CFPs for two link redundancy \(G={1,g}\) has been solved for both unidirectional and bidirectional link cases. In this paper, we consider the more general case of link redundancy \(G=\{1,2,\dots,k,g\}\), \(2<k<g\). Using random walk as a tool, we enumerate CFPs for both unidirectional and bidirectional cases.
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