Hamilton Circuits in Graphs and Directed Graphs

Mathematics – Combinatorics

Scientific paper

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

Scientific paper

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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