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» Exact Algorithms for the Vertex Separator Problem in Graphs
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DAM
2011
14 years 10 months ago
A General Label Search to investigate classical graph search algorithms
Many graph search algorithms use a labeling of the vertices to compute an ordering of the vertices. We generalize this idea by devising a general vertex labeling algorithmic proce...
Richard Krueger, Geneviève Simonet, Anne Be...
WG
2009
Springer
15 years 10 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
DAM
2010
137views more  DAM 2010»
15 years 3 months ago
H-join decomposable graphs and algorithms with runtime single exponential in rankwidth
We introduce H -join decompositions of graphs, indexed by a fixed bipartite graph H . These decompositions are based on a graph operation that we call H -join, which adds edges be...
Binh-Minh Bui-Xuan, Jan Arne Telle, Martin Vatshel...
WADS
2005
Springer
114views Algorithms» more  WADS 2005»
15 years 9 months ago
The Multi-radius Cover Problem
An instance of the multi-radius cover problem consists of a graph G = (V, E) with edge lengths l : E → R+ . Each vertex u ∈ V represents a transmission station for which a tra...
Refael Hassin, Danny Segev
143
Voted
STOC
1990
ACM
135views Algorithms» more  STOC 1990»
15 years 7 months ago
A Separator Theorem for Graphs with an Excluded Minor and its Applications
ions (Extended Abstract) Noga Alon Paul Seymour Robin Thomas Let G be an n-vertex graph with nonnegative weights whose sum is 1 assigned to its vertices, and with no minor isomorp...
Noga Alon, Paul D. Seymour, Robin Thomas