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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»
15 years 10 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
14 years 11 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»
14 years 9 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»
14 years 10 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 5 days 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, ...