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WADS
2005
Springer
145views Algorithms» more  WADS 2005»
14 years 26 days ago
Approximation Algorithms for Forests Augmentation Ensuring Two Disjoint Paths of Bounded Length
Given a forest F = (V, E) and a positive integer D, we consider the problem of finding a minimum number of new edges E such that in the augmented graph H = (V, E∪E ) any pair of...
Victor Chepoi, Bertrand Estellon, Yann Vaxè...
SWAT
2010
Springer
302views Algorithms» more  SWAT 2010»
14 years 13 days ago
A Weakly Robust PTAS for Minimum Clique Partition in Unit Disk Graphs
We consider the problem of partitioning the set of vertices of a given unit disk graph (UDG) into a minimum number of cliques. The problem is NP-hard and various constant factor a...
Imran A. Pirwani, Mohammad R. Salavatipour
CAIP
2005
Springer
107views Image Analysis» more  CAIP 2005»
14 years 28 days ago
Minimum-Length Polygons of First-Class Simple Cube-Curves
We consider simple cube-curves in the orthogonal 3D grid. The union of all cells contained in such a curve (also called the tube of this curve) is a polyhedrally bounded set. The c...
Fajie Li, Reinhard Klette
APPROX
2006
Springer
130views Algorithms» more  APPROX 2006»
13 years 11 months ago
Tight Results on Minimum Entropy Set Cover
In the minimum entropy set cover problem, one is given a collection of k sets which collectively cover an n-element ground set. A feasible solution of the problem is a partition o...
Jean Cardinal, Samuel Fiorini, Gwenaël Joret
NETWORKS
2002
13 years 7 months ago
Approximation algorithms for constructing wavelength routing networks
Consider a requirement graph whose vertices represent customers and an edge represents the need to route a unit of flow between its end vertices along a single path. All of these ...
Refael Hassin, Asaf Levin