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» A graph polynomial for independent sets of bipartite graphs
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STOC
2002
ACM
124views Algorithms» more  STOC 2002»
16 years 2 months ago
Clairvoyant scheduling of random walks
Two infinite walks on the same finite graph are called compatible if it is possible to introduce delays into them in such a way that they never collide. Years ago, Peter Winkler a...
Péter Gács
CATS
2008
15 years 3 months ago
Well-covered Graphs and Greedoids
G is a well-covered graph provided all its maximal stable sets are of the same size (Plummer, 1970). S is a local maximum stable set of G, and we denote by S (G), if S is a maxim...
Vadim E. Levit, Eugen Mandrescu
DAM
2008
90views more  DAM 2008»
15 years 2 months ago
Polarity of chordal graphs
Polar graphs are a common generalization of bipartite, cobipartite, and split graphs. They are defined by the existence of a certain partition of vertices, which is NPcomplete to ...
Tinaz Ekim, Pavol Hell, Juraj Stacho, Dominique de...
ALGORITHMICA
2010
108views more  ALGORITHMICA 2010»
15 years 2 months ago
An Efficient Algorithm for Batch Stability Testing
Given a stable marriage problem instance represented by a bipartite graph having 2n vertices and m edges, we describe an algorithm that can verify the stability of k different mat...
John Dabney, Brian C. Dean
SODA
2012
ACM
218views Algorithms» more  SODA 2012»
13 years 4 months ago
Linear kernels for (connected) dominating set on H-minor-free graphs
We give the first linear kernels for DOMINATING SET and CONNECTED DOMINATING SET problems on graphs excluding a fixed graph H as a minor. In other words, we give polynomial time...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh, ...