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ESA
2009
Springer
131views Algorithms» more  ESA 2009»
13 years 11 months ago
Solving Dominating Set in Larger Classes of Graphs: FPT Algorithms and Polynomial Kernels
Abstract. We show that the k-Dominating Set problem is fixed parameter tractable (FPT) and has a polynomial kernel for any class of
Geevarghese Philip, Venkatesh Raman, Somnath Sikda...
SODA
2012
ACM
218views Algorithms» more  SODA 2012»
11 years 7 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, ...
IWPEC
2010
Springer
13 years 2 months ago
On the Kernelization Complexity of Colorful Motifs
The Colorful Motif problem asks if, given a vertex-colored graph G, there exists a subset S of vertices of G such that the graph induced by G on S is connected and contains every c...
Abhimanyu M. Ambalath, Radheshyam Balasundaram, Ch...
FSTTCS
2010
Springer
13 years 2 months ago
The effect of girth on the kernelization complexity of Connected Dominating Set
In the Connected Dominating Set problem we are given as input a graph G and a positive integer k, and are asked if there is a set S of at most k vertices of G such that S is a dom...
Neeldhara Misra, Geevarghese Philip, Venkatesh Ram...
SODA
2010
ACM
261views Algorithms» more  SODA 2010»
14 years 2 months ago
Bidimensionality and Kernels
Bidimensionality theory appears to be a powerful framework in the development of meta-algorithmic techniques. It was introduced by Demaine et al. [J. ACM 2005 ] as a tool to obtai...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh, ...