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WG
2009
Springer
14 years 1 months ago
Exact and Parameterized Algorithms for Max Internal Spanning Tree
We consider the NP-hard problem of finding a spanning tree with a maximum number of internal vertices. This problem is a generalization of the famous Hamiltonian Path problem. Our...
Henning Fernau, Serge Gaspers, Daniel Raible
LATIN
2010
Springer
14 years 1 months ago
Sharp Separation and Applications to Exact and Parameterized Algorithms
Many divide-and-conquer algorithms employ the fact that the vertex set of a graph of bounded treewidth can be separated in two roughly balanced subsets by removing a small subset o...
Fedor V. Fomin, Daniel Lokshtanov, Fabrizio Grando...
ISAAC
2009
Springer
109views Algorithms» more  ISAAC 2009»
14 years 1 months ago
A Linear Vertex Kernel for Maximum Internal Spanning Tree
We present an algorithm that for any graph G and integer k ≥ 0 in time polynomial in the size of G either nds a spanning tree with at least k internal vertices, or outputs a ne...
Fedor V. Fomin, Serge Gaspers, Saket Saurabh, St&e...
IWPEC
2009
Springer
14 years 1 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...
ICALP
2009
Springer
14 years 7 months ago
Limits and Applications of Group Algebras for Parameterized Problems
The algebraic framework introduced in [Koutis, Proc. of the 35th ICALP 2008] reduces several combinatorial problems in parameterized complexity to the problem of detecting multili...
Ioannis Koutis, Ryan Williams