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» Edge clique graphs and some classes of chordal graphs
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ISAAC
2005
Springer
111views Algorithms» more  ISAAC 2005»
15 years 5 months ago
Boosting Spectral Partitioning by Sampling and Iteration
A partition of a set of n items is a grouping of the items into k disjoint classes of equal size. Any partition can be modeled as a graph: the items become the vertices of the grap...
Joachim Giesen, Dieter Mitsche
DAM
2002
82views more  DAM 2002»
14 years 11 months ago
On the computational complexity of strong edge coloring
In the strong edge coloring problem, the objective is to color the edges of the given graph with the minimum number of colors so that every color class is an induced matching. In ...
Mohammad Mahdian
DAM
2008
88views more  DAM 2008»
14 years 11 months ago
On the asymmetric representatives formulation for the vertex coloring problem
We consider the vertex coloring problem, which may be stated as the problem of minimizing the number of labels that can be assigned to the vertices of a graph G such that each ver...
Manoel B. Campêlo, Victor A. Campos, Ricardo...
SODA
2012
ACM
253views Algorithms» more  SODA 2012»
13 years 2 months ago
Kernelization of packing problems
Kernelization algorithms are polynomial-time reductions from a problem to itself that guarantee their output to have a size not exceeding some bound. For example, d-Set Matching f...
Holger Dell, Dániel Marx
WG
2009
Springer
15 years 6 months ago
Fast Exact Algorithms for Hamiltonicity in Claw-Free Graphs
The Hamiltonian Cycle problem asks if an n-vertex graph G has a cycle passing through all vertices of G. This problem is a classic NP-complete problem. So far, finding an exact al...
Hajo Broersma, Fedor V. Fomin, Pim van 't Hof, Dan...