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WG
2007
Springer
14 years 3 days ago
Lower Bounds for Three Algorithms for the Transversal Hypergraph Generation
Abstract. The computation of all minimal transversals of a given hypergraph in output-polynomial time is a long standing open question known as the transversal hypergraph generatio...
Matthias Hagen
WG
2007
Springer
14 years 3 days ago
Obtaining a Planar Graph by Vertex Deletion
In the Planar +k vertex problem the task is to find at most k vertices whose deletion makes the given graph planar. The graphs for which there exists a solution form a minor close...
Dániel Marx, Ildikó Schlotter
WG
2007
Springer
14 years 3 days ago
Characterization and Recognition of Digraphs of Bounded Kelly-width
Kelly-width is a parameter of directed graphs recently proposed by Hunter and Kreutzer as a directed analogue of treewidth. We give several alternative characterizations of direct...
Daniel Meister, Jan Arne Telle, Martin Vatshelle
WG
2007
Springer
14 years 3 days ago
On Finding Graph Clusterings with Maximum Modularity
Modularity is a recently introduced quality measure for graph clusterings. It has immediately received considerable attention in several disciplines, and in particular in the compl...
Ulrik Brandes, Daniel Delling, Marco Gaertler, Rob...
IPPS
2007
IEEE
14 years 9 days ago
Minimum number of wavelengths equals load in a DAG without internal cycle
Let P be a family of dipaths. The load of an arc is the number of dipaths containing this arc. Let π(G, P) be the maximum of the load of all the arcs and let w(G, P) be the minim...
Jean-Claude Bermond, Michel Cosnard