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» On Bounds for the k-Partitioning of Graphs
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JAPLL
2008
101views more  JAPLL 2008»
14 years 10 months ago
Circle graphs and monadic second-order logic
A circle graph is the intersection graph of a set of chords of a circle. If a circle graph is prime for the split (or join) decomposition defined by Cunnigham, it has a unique rep...
Bruno Courcelle
112
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STOC
2007
ACM
239views Algorithms» more  STOC 2007»
15 years 10 months ago
Approximating minimum bounded degree spanning trees to within one of optimal
In the MINIMUM BOUNDED DEGREE SPANNING TREE problem, we are given an undirected graph with a degree upper bound Bv on each vertex v, and the task is to find a spanning tree of min...
Mohit Singh, Lap Chi Lau
100
Voted
WAOA
2004
Springer
141views Algorithms» more  WAOA 2004»
15 years 3 months ago
Strong Colorings of Hypergraphs
Abstract. A strong vertex coloring of a hypergraph assigns distinct colors to vertices that are contained in a common hyperedge. This captures many previously studied graph colorin...
Geir Agnarsson, Magnús M. Halldórsso...
95
Voted
SIROCCO
1997
14 years 11 months ago
Better Expanders and Superconcentrators by Kolmogorov Complexity
We show the existence of various versions of expander graphs using Kolmogorov complexity. This method seems superior to the usual “probabilistic construction”. Also, the best k...
Uwe Schöning
ISAAC
2007
Springer
158views Algorithms» more  ISAAC 2007»
15 years 4 months ago
On the Expressive Power of Planar Perfect Matching and Permanents of Bounded Treewidth Matrices
Valiant introduced some 25 years ago an algebraic model of computation along with the complexity classes VP and VNP, which can be viewed as analogues of the classical classes P and...
Uffe Flarup, Pascal Koiran, Laurent Lyaudet