Parameterized Complexity Theory (Texts in Theoretical Computer Science. An EATCS Series)
Parameterized Complexity Theory (Texts in Theoretical Computer Science. An EATCS Series)
Invitation to data reduction and problem kernelization
ACM SIGACT News
A 2O (k)poly(n) algorithm for the parameterized Convex Recoloring problem
Information Processing Letters
Efficient approximation of convex recolorings
Journal of Computer and System Sciences
Improved Approximation Algorithm for Convex Recoloring of Trees
Theory of Computing Systems
Convex recolorings of strings and trees: Definitions, hardness results and algorithms
Journal of Computer and System Sciences
Speeding up dynamic programming for some NP-hard graph recoloring problems
TAMC'08 Proceedings of the 5th international conference on Theory and applications of models of computation
Quadratic kernelization for convex recoloring of trees
COCOON'07 Proceedings of the 13th annual international conference on Computing and Combinatorics
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In this paper, we show that the following problem has a kernel of quadratic size: given is a tree T whose vertices have been assigned colors and a non-negative integer weight, and given is an integer k. In a recoloring, the color of some vertices is changed. We are looking for a recoloring such that each color class induces a subtree of T and such that the total weight of all recolored vertices is at most k. Our result generalizes a result by Bodlaender et al. [3] who give quadratic size kernel for the case that all vertices have unit weight.