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WADS
2005
Springer
145views Algorithms» more  WADS 2005»
15 years 6 months 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»
15 years 6 months 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»
15 years 6 months 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»
15 years 5 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
15 years 26 days 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