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WG
1998
Springer
14 years 3 months ago
Linear Time Solvable Optimization Problems on Graphs of Bounded Clique Width
Hierarchical decompositions of graphs are interesting for algorithmic purposes. There are several types of hierarchical decompositions. Tree decompositions are the best known ones....
Bruno Courcelle, Johann A. Makowsky, Udi Rotics
WADS
2001
Springer
124views Algorithms» more  WADS 2001»
14 years 3 months ago
Deciding Clique-Width for Graphs of Bounded Tree-Width
We show that there exists a linear time algorithm for deciding whether a graph of bounded tree-width has clique-width k for some fixed integer k. Communicated by Giuseppe Liotta ...
Wolfgang Espelage, Frank Gurski, Egon Wanke
SIAMCOMP
2010
135views more  SIAMCOMP 2010»
13 years 6 months ago
Intractability of Clique-Width Parameterizations
We show that Edge Dominating Set, Hamiltonian Cycle, and Graph Coloring are W[1]-hard parameterized by clique-width. It was an open problem, explicitly mentioned in several papers,...
Fedor V. Fomin, Petr A. Golovach, Daniel Lokshtano...
TAMC
2010
Springer
13 years 9 months ago
Exploiting Restricted Linear Structure to Cope with the Hardness of Clique-Width
Clique-width is an important graph parameter whose computation is NP-hard. In fact we do not know of any other algorithm than brute force for the exact computation of clique-width...
Pinar Heggernes, Daniel Meister, Udi Rotics
CORR
2008
Springer
150views Education» more  CORR 2008»
13 years 11 months ago
A Dynamic Programming Framework for Combinatorial Optimization Problems on Graphs with Bounded Pathwidth
In this paper we present an algorithmic framework for solving a class of combinatorial optimization problems on graphs with bounded pathwidth. The problems are NP-hard in general, ...
Mugurel Ionut Andreica