ALGORITHM FOR ENUMERATING HYPERGRAPH TRANSVERSALS

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Date

2018-04-10

Authors

Casita, Roscoe

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Publisher

University of Oregon

Abstract

This paper introduces the hypergraph transversal problem along with thefollowing iterative solutions: naive, branch and bound, and dynamic exponentialtime (NC-D). Odometers are introduced along with the functions that manipulatethem. The traditional definitions of hyperedge, hypergraph, etc., are redefined interms of odometers and lists. All algorithms and functions necessary to implementthe solution are presented along with techniques to validate and test the results.Lastly, parallelization advanced applications, and future research directions areexamined.

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Keywords

Enumeration, Hyperedge, Hypergraph, Iteration, Odometer, Transversal

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