Displaying similar documents to “Parallel algorithms on interval graphs”

The disjoint cliques problem

Klaus Jansen, Petra Scheffler, Gerhard Woeginger (1997)

RAIRO - Operations Research - Recherche Opérationnelle

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Finding dominators in practice.

Georgiadis, Loukas, Tarjan, Robert E., Werneck, Renato F. (2006)

Journal of Graph Algorithms and Applications

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Heuristic and metaheuristic methods for computing graph treewidth

François Clautiaux, Aziz Moukrim, Stéphane Nègre, Jacques Carlier (2004)

RAIRO - Operations Research - Recherche Opérationnelle

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The notion of treewidth is of considerable interest in relation to NP-hard problems. Indeed, several studies have shown that the tree-decomposition method can be used to solve many basic optimization problems in polynomial time when treewidth is bounded, even if, for arbitrary graphs, computing the treewidth is NP-hard. Several papers present heuristics with computational experiments. For many graphs the discrepancy between the heuristic results and the best lower bounds is still very...

A Characterization of 2-Tree Probe Interval Graphs

David E. Brown, Breeann M. Flesch, J. Richard (2014)

Discussiones Mathematicae Graph Theory

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A graph is a probe interval graph if its vertices correspond to some set of intervals of the real line and can be partitioned into sets P and N so that vertices are adjacent if and only if their corresponding intervals intersect and at least one belongs to P. We characterize the 2-trees which are probe interval graphs and extend a list of forbidden induced subgraphs for such graphs created by Pržulj and Corneil in [2-tree probe interval graphs have a large obstruction set, Discrete Appl....