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Published April 25, 2001 | Submitted
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Recurrence-based Heuristics for the Hamiltonian Path Inclusion and Exclusion and Exclusion Algorithm

Bax, Eric

Abstract

For many problem instances, the inclusion and exclusion formula has many cancellations and symmetries. By imposing a hierarchy on the formula's terms, we develop general reductions for inclusion and exclusion algorithms. We apply these reductions to an algorithm which counts Hamiltonian paths, and we develop a branch and bound algorithm to detect Hamiltonian paths. Then we show how to apply the reductions to other inclusion and exclusion algorithms.

Additional Information

© 1994 California Institute of Technology. Supported by and NSF Fellowship.

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