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TAMC
2007
Springer
15 years 5 months ago
Kernelizations for Parameterized Counting Problems
Abstract. Kernelizations are an important tool in designing fixed parameter algorithms for parameterized decision problems. We introduce an analogous notion for counting problems,...
Marc Thurley
SODA
2012
ACM
243views Algorithms» more  SODA 2012»
13 years 2 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
ICALP
2007
Springer
15 years 5 months ago
Parameterized Approximability of the Disjoint Cycle Problem
Abstract. We give an fpt approximation algorithm for the directed vertex disjoint cycle problem. Given a directed graph G with n vertices and a positive integer k, the algorithm co...
Martin Grohe, Magdalena Grüber
IWPEC
2004
Springer
15 years 5 months ago
A Structural View on Parameterizing Problems: Distance from Triviality
Based on a series of known and new examples, we propose the generalized setting of “distance from triviality” measurement as a reasonable and prospective way of determining use...
Jiong Guo, Falk Hüffner, Rolf Niedermeier
FOCS
2002
IEEE
15 years 4 months ago
Covering Problems with Hard Capacities
We consider the classical vertex cover and set cover problems with the addition of hard capacity constraints. This means that a set (vertex) can only cover a limited number of its...
Julia Chuzhoy, Joseph Naor