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IWPEC
2009
Springer
13 years 12 months ago
Pareto Complexity of Two-Parameter FPT Problems: A Case Study for Partial Vertex Cover
We describe a framework for expressing the complexity of algorithms for FPT problems with two separate parameters k, m and with exponential time bounds O∗ (xk ym ) where x, y &g...
Peter Damaschke
ACID
2006
220views Algorithms» more  ACID 2006»
13 years 6 months ago
Vertex and Edge Covers with Clustering Properties: Complexity and Algorithms
We consider the concepts of a t-total vertex cover and a t-total edge cover (t 1), which generalize the notions of a vertex cover and an edge cover, respectively. A t-total verte...
Henning Fernau, David Manlove
DAM
2008
102views more  DAM 2008»
13 years 5 months ago
On the computational complexity of partial covers of Theta graphs
By use of elementary geometric arguments we prove the existence of a special integral solution of a certain system of linear equations. The existence of such a solution yields the...
Jirí Fiala, Jan Kratochvíl, Attila P...
FSTTCS
2009
Springer
13 years 12 months ago
Subexponential Algorithms for Partial Cover Problems
Partial Cover problems are optimization versions of fundamental and well studied problems like Vertex Cover and Dominating Set. Here one is interested in covering (or dominating) ...
Fedor V. Fomin, Daniel Lokshtanov, Venkatesh Raman...
TCS
2010
13 years 3 months ago
A polynomial solution to the k-fixed-endpoint path cover problem on proper interval graphs
: We study a variant of the path cover problem, namely, the k-fixed-endpoint path cover problem, or kPC for short. Given a graph G and a subset T of k vertices of V (G), a k-fixe...
Katerina Asdre, Stavros D. Nikolopoulos