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IWPEC
2009
Springer
14 years 7 months ago
Bounded-Degree Techniques Accelerate Some Parameterized Graph Algorithms
Many parameterized algorithms for NP-hard graph problems are search tree algorithms with sophisticated local branching rules. But it has also been noticed that the global structur...
Peter Damaschke
IWPEC
2009
Springer
14 years 7 months ago
Paths of Bounded Length and Their Cuts: Parameterized Complexity and Algorithms
We study the parameterized complexity of two families of problems: the bounded length disjoint paths problem and the bounded length cut problem. From Menger’s theorem both proble...
Petr A. Golovach, Dimitrios M. Thilikos
IWPEC
2009
Springer
14 years 7 months ago
An Exponential Time 2-Approximation Algorithm for Bandwidth
The bandwidth of a graph G on n vertices is the minimum b such that the vertices of G can be labeled from 1 to n such that the labels of every pair of adjacent vertices differ by ...
Martin Fürer, Serge Gaspers, Shiva Prasad Kas...
IWPEC
2009
Springer
14 years 7 months ago
On Digraph Width Measures in Parameterized Algorithmics
Robert Ganian, Petr Hlinený, Joachim Kneis,...
IWPEC
2009
Springer
14 years 7 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 7 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 7 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 7 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,...