Heuristics for the Maximum Outerplanar Subgraph Problem

Timo Poranen
<span title="">2005</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/recosugx7nevfmgxg6453uyd3a" style="color: black;">Journal of Heuristics</a> </i> &nbsp;
Determining the maximum outerplanar subgraph of a given graph is known to be an NP-complete problem. In the literature there are no earlier experiment on approximating the maximum outerplanar subgraph problem. In this paper we compare solution quality and running times of different heuristics for finding maximum outerplanar subgraphs. We compare a greedy heuristic against a triangular cactus heuristic and its greedy variation. We also use the solutions from the greedy heuristics as initial
more &raquo; ... ions for a simulated annealing algorithm. The main experimental result is that simulated annealing with initial solution taken from the greedy triangular cactus heuristic yields the best known approximations for the maximum outerplanar subgraph problem.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s10732-005-6999-6">doi:10.1007/s10732-005-6999-6</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/64d2gevefnb75htnbtoau3paly">fatcat:64d2gevefnb75htnbtoau3paly</a> </span>
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