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» Exact Algorithms for the Vertex Separator Problem in Graphs
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DAM
2011
13 years 3 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
14 years 3 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»
13 years 8 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»
14 years 1 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
STOC
1990
ACM
135views Algorithms» more  STOC 1990»
14 years 14 days 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