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STOC
2010
ACM
211views Algorithms» more  STOC 2010»
14 years 8 months ago
Maintaining a Large Matching or a Small Vertex Cover
We consider the problem of maintaining a large matching or a small vertex cover in a dynamically changing graph. Each update to the graph is either an edge deletion or an edge ins...
Krzysztof Onak and Ronitt Rubinfeld
ICALP
2007
Springer
14 years 5 months ago
Linear Problem Kernels for NP-Hard Problems on Planar Graphs
Abstract. We develop a generic framework for deriving linear-size problem kernels for NP-hard problems on planar graphs. We demonstrate the usefulness of our framework in several c...
Jiong Guo, Rolf Niedermeier
ICALP
2010
Springer
14 years 3 months ago
On the Inapproximability of Vertex Cover on k-Partite k-Uniform Hypergraphs
Computing a minimum vertex cover in graphs and hypergraphs is a well-studied optimizaton problem. While intractable in general, it is well known that on bipartite graphs, vertex c...
Venkatesan Guruswami, Rishi Saket
SODA
2012
ACM
243views Algorithms» more  SODA 2012»
12 years 1 months ago
Bidimensionality and geometric graphs
Bidimensionality theory was introduced by Demaine et al. [JACM 2005 ] as a framework to obtain algorithmic results for hard problems on minor closed graph classes. The theory has ...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh
DAM
2000
137views more  DAM 2000»
13 years 10 months ago
Solving the feedback vertex set problem on undirected graphs
Feedback problems consist of removing a minimal number of vertices of a directed or undirected graph in order to make it acyclic. The problem is known to be NPcomplete. In this pa...
Lorenzo Brunetta, Francesco Maffioli, Marco Trubia...