Hamilton Circuits in Graphs and Directed Graphs

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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.
Text in Word 97, Equations in MathType, sent in a PDF file using Adobe Acrobat Writer (4.05), no figures

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