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WG
2005
Springer
15 years 2 months ago
Approximation Algorithms for the Weighted Independent Set Problem
In unweighted case, approximation ratio for the independent set problem has been analyzed in terms of the graph parameters, such as the number of vertices, maximum degree, and aver...
Akihisa Kako, Takao Ono, Tomio Hirata, Magnú...
WG
2005
Springer
15 years 2 months ago
Faster Dynamic Algorithms for Chordal Graphs, and an Application to Phylogeny
We improve the current complexities for maintaining a chordal graph by starting with an empty graph and repeatedly adding or deleting edges.
Anne Berry, Alain Sigayret, Jeremy Spinrad
WG
2005
Springer
15 years 2 months ago
Algebraic Operations on PQ Trees and Modular Decomposition Trees
Partitive set families are families of sets that can be quite large, but have a compact, recursive representation in the form of a tree. This tree is a common generalization of PQ...
Ross M. McConnell, Fabien de Montgolfier
WG
2005
Springer
15 years 2 months ago
Hypertree Decompositions: Structure, Algorithms, and Applications
We review the concepts of hypertree decomposition and hypertree width from a graph theoretical perspective and report on a number of recent results related to these concepts. We al...
Georg Gottlob, Martin Grohe, Nysret Musliu, Marko ...
WG
2005
Springer
15 years 2 months ago
Channel Assignment and Improper Choosability of Graphs
Abstract. We model a problem proposed by Alcatel, a satellite building company, using improper colourings of graphs. The relation between improper colourings and maximum average de...
Frédéric Havet, Jean-Sébastie...
Theoretical Computer Science
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