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» Parameterized Complexity of the Clique Partition Problem
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CATS
2008
13 years 6 months ago
Parameterized Complexity of the Clique Partition Problem
The problem of deciding whether the edge-set of a given graph can be partitioned into at most k cliques is well known to be NP-complete. In this paper we investigate this problem ...
Egbert Mujuni, Frances A. Rosamond
COCOON
2003
Springer
13 years 9 months ago
Matroid Representation of Clique Complexes
In this paper, we approach the quality of a greedy algorithm for the maximum weighted clique problem from the viewpoint of matroid theory. More precisely, we consider the clique c...
Kenji Kashiwabara, Yoshio Okamoto, Takeaki Uno
DAM
2008
131views more  DAM 2008»
13 years 4 months ago
Partition into cliques for cubic graphs: Planar case, complexity and approximation
Given a graph G = (V, E) and a positive integer k, the PARTITION INTO CLIQUES (PIC) decision problem consists of deciding whether there exists a partition of V into k disjoint sub...
Márcia R. Cerioli, L. Faria, T. O. Ferreira...
SIAMCOMP
2010
135views more  SIAMCOMP 2010»
12 years 11 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...
TCS
2010
13 years 2 months ago
Clustering with partial information
The Correlation Clustering problem, also known as the Cluster Editing problem, seeks to edit a given graph by adding and deleting edges to obtain a collection of disconnected cliq...
Hans L. Bodlaender, Michael R. Fellows, Pinar Hegg...