An Algorithm for Bounding the Probability of r-core Formation in k-uniform Random Hypergraphs

January 15, 2019 Β· Declared Dead Β· πŸ› arXiv.org

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Authors George Bissias arXiv ID 1901.04934 Category cs.DS: Data Structures & Algorithms Citations 1 Venue arXiv.org Last Checked 4 months ago
Abstract
We present an algorithm for bounding the probability of r-core formation in k-uniform hypergraphs. Understanding the probability of core formation is useful in numerous applications including bounds on the failure rate of Invertible Bloom Lookup Tables (IBLTs) and the probability that a boolean formula is satisfiable.
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