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Hamilton Circuits in Graphs and Directed Graphs

Howard Kleiman
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Abstract

We give polynomial-time algorithms for obtaining hamilton circuits in random graphs, G, and random directed graphs, D. If n is finite, we assume that G or D contains a hamilton circuit. If G is an arbitrary graph containing a hamilton circuit, we conjecture that Algorithm G always obtains a hamilton circuit in polynomial time.

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Howard Kleiman. 2000-12-06. Hamilton Circuits in Graphs and Directed Graphs. https://arxiv.org/abs/math/0012036

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