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ESA
2008
Springer
101views Algorithms» more  ESA 2008»
13 years 11 months ago
Faster Steiner Tree Computation in Polynomial-Space
Given an n-node graph and a subset of k terminal nodes, the NP-hard Steiner tree problem is to compute a minimum-size tree which spans the terminals. All the known algorithms for t...
Fedor V. Fomin, Fabrizio Grandoni, Dieter Kratsch
AMAI
2008
Springer
13 years 10 months ago
The giving tree: constructing trees for efficient offline and online multi-robot coverage
This paper discusses the problem of building efficient coverage paths for a team of robots. An efficient multi-robot coverage algorithm should result in a coverage path for every ...
Noa Agmon, Noam Hazon, Gal A. Kaminka
SIAMDM
2008
139views more  SIAMDM 2008»
13 years 9 months ago
Approximate Integer Decompositions for Undirected Network Design Problems
A well-known theorem of Nash-Williams and Tutte gives a necessary and sufficient condition for the existence of k edge-disjoint spanning trees in an undirected graph. A corollary o...
Chandra Chekuri, F. Bruce Shepherd
EOR
2007
117views more  EOR 2007»
13 years 9 months ago
Approximation of min-max and min-max regret versions of some combinatorial optimization problems
This paper investigates, for the first time in the literature, the approximation of minmax (regret) versions of classical problems like shortest path, minimum spanning tree, and ...
Hassene Aissi, Cristina Bazgan, Daniel Vanderpoote...
NETWORKS
2006
13 years 9 months ago
Lower bounds for the relative greedy algorithm for approximating Steiner trees
Abstract. The Steiner tree problem is to find a shortest subgraph that spans a given set of vertices in a graph. This problem is known to be NP-hard and it is well known that a pol...
Stefan Hougardy, Stefan Kirchner