26/10/2020

Solving the Longest Simple Path Problem with Heuristic Search

Yossi Cohen, Roni Stern, Ariel Felner

Keywords: Heuristic Search, Longest Simple Path, Admissible Heuristics

Abstract: Prior approaches for finding the longest simple path (LSP) in a graph used constraints solvers and genetic algorithms. In this work, we solve the LSP problem with heuristic search. We first introduce several methods for pruning dominated path prefixes. Then, we propose several admissible heuristic functions for this problem. Experimental results demonstrate the large impact of the proposed heuristics and pruning rules.

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