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IWPEC
2009
Springer
14 years 3 months ago
Partitioning into Sets of Bounded Cardinality
Abstract. We show that the partitions of an n-element set into k members of a given set family can be counted in time O((2− )n ), where > 0 depends only on the maximum size am...
Mikko Koivisto
IWPEC
2009
Springer
14 years 3 months ago
Planar Capacitated Dominating Set Is W[1]-Hard
Given a graph G together with a capacity function c : V (G) → N, we call S ⊆ V (G) a capacitated dominating set if there exists a mapping f : (V (G) \ S) → S which maps every...
Hans L. Bodlaender, Daniel Lokshtanov, Eelko Penni...
IWPEC
2009
Springer
14 years 3 months ago
Boolean-Width of Graphs
Abstract. We introduce the graph parameter boolean-width, related to the number of different unions of neighborhoods across a cut of a graph. For many graph problems this number is...
Binh-Minh Bui-Xuan, Jan Arne Telle, Martin Vatshel...
IWPEC
2009
Springer
14 years 3 months ago
On the Directed Degree-Preserving Spanning Tree Problem
In this paper we initiate a systematic study of the Reduced Degree Spanning Tree problem, where given a digraph D and a nonnegative integer k, the goal is to construct a spanning o...
Daniel Lokshtanov, Venkatesh Raman, Saket Saurabh,...
IWPEC
2009
Springer
14 years 3 months ago
An Exact Algorithm for the Maximum Leaf Spanning Tree Problem
Given an undirected graph with n nodes, the Maximum Leaf Spanning Tree problem is to find a spanning tree with as many leaves as possible. When parameterized in the number of leav...
Henning Fernau, Joachim Kneis, Dieter Kratsch, Ale...
IWPEC
2009
Springer
14 years 3 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
IWPEC
2009
Springer
14 years 3 months ago
Improved Parameterized Algorithms for the Kemeny Aggregation Problem
We give improvements over fixed parameter tractable (FPT) algorithms to solve the Kemeny aggregation problem, where the task is to summarize a multi-set of preference lists, call...
Narges Simjour
IWPEC
2009
Springer
14 years 3 months ago
Improved Induced Matchings in Sparse Graphs
An induced matching in graph G is a matching which is an induced subgraph of G. Clearly, among two vertices with the same neighborhood (called twins) at most one is matched in any...
Rok Erman, Lukasz Kowalik, Matjaz Krnc, Tomasz Wal...