Date of Original Version

1993

Type

Technical Report

Abstract or Table of Contents

Abstract: "We describe fully polynomial randomized approximation schemes for the problems of determining the number of Hamilton paths and cycles in an n-vertex graph with minimum degree (1/2 + [epsilon])n, for any fixed [epsilon] > 0. We show that the exact counting problems are #P-complete. We also describe fully polynomial randomized approximation schemes for counting paths and cycles of all sizes in such graphs."

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