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.
@article{arxiv.1404.6399,
title = {A Hybrid Graph Representation for Exact Graph Algorithms},
author = {Faisal N. Abu-Khzam and Karim A. Jahed and Amer E. Mouawad},
journal= {arXiv preprint arXiv:1404.6399},
year = {2014}
}