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arXiv · 1404.6399

A Hybrid Graph Representation for Exact Graph Algorithms

Faisal N. Abu-Khzam·Karim A. Jahed·Amer E. Mouawad
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Abstract

Many exact search algorithms for NP-hard graph problems adopt the old Davis-Putman branch-and-reduce paradigm. The performance of these algorithms often suffers from the increasing number of graph modifications, such as vertex/edge deletions, that reduce the problem instance and have to be "taken back" frequently during the search process. We investigate practical implementation-based aspects of exact graph algorithms by providing a simple hybrid graph representation that trades space for time to address the said take-back challenge. Experiments on three well studied problems show consistent significant improvements over classical methods.

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Faisal N. Abu-Khzam, Karim A. Jahed, Amer E. Mouawad. 2014-04-25. A Hybrid Graph Representation for Exact Graph Algorithms. https://arxiv.org/abs/1404.6399

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