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» Exact Algorithms for the Vertex Separator Problem in Graphs
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WADS
2007
Springer
180views Algorithms» more  WADS 2007»
14 years 2 months ago
Spanners for Geometric Intersection Graphs
A ball graph is an intersection graph of a set of balls with arbitrary radii. Given a real number t > 1, we say that a subgraph G′ of a graph G is a t-spanner of G, if for eve...
Martin Fürer, Shiva Prasad Kasiviswanathan
ESA
2006
Springer
105views Algorithms» more  ESA 2006»
14 years 3 days ago
Dynamic Programming and Fast Matrix Multiplication
Abstract. We give a novel general approach for solving NP-hard optimization problems that combines dynamic programming and fast matrix multiplication. The technique is based on red...
Frederic Dorn
STACS
2007
Springer
14 years 2 months ago
A Cubic Kernel for Feedback Vertex Set
In this paper, it is shown that the Feedback Vertex Set problem on unweighted, undirected graphs has a kernel of cubic size. I.e., a polynomial time algorithm is described, that, w...
Hans L. Bodlaender
NETWORKS
2010
13 years 6 months ago
A branch-and-cut algorithm for partition coloring
Let G = (V, E, Q) be a undirected graph, where V is the set of vertices, E is the set of edges, and Q = {Q1, . . . , Qq} is a partition of V into q subsets. We refer to Q1, . . . ...
Yuri Frota, Nelson Maculan, Thiago F. Noronha, Cel...
DAM
1998
85views more  DAM 1998»
13 years 8 months ago
Separability Generalizes Dirac's Theorem
In our study of the extremities of a graph, we define a moplex as a maximal clique module the neighborhood of which is a minimal separator of the graph. This notion enables us to...
Anne Berry, Jean Paul Bordat