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COR
2007
99views more  COR 2007»
15 years 4 months ago
An improved algorithm for the p-center problem on interval graphs with unit lengths
The p-center problem is to locate p facilities in a network of n demand points so as to minimize the longest distance between a demand point and its nearest facility. We consider ...
T. C. Edwin Cheng, Liying Kang, C. T. Ng
ESA
2008
Springer
134views Algorithms» more  ESA 2008»
15 years 5 months ago
Improved Randomized Results for That Interval Selection Problem
Online interval selection is a problem in which intervals arrive one by one, sorted by their left endpoints. Each interval has a length and a non-negative weight associated with i...
Leah Epstein, Asaf Levin
ICALP
2011
Springer
14 years 7 months ago
Improved Approximation for the Directed Spanner Problem
We present an O( √ n log n)-approximation algorithm for the problem of finding the sparsest spanner of a given directed graph G on n vertices. A spanner of a graph is a sparse ...
Piotr Berman, Arnab Bhattacharyya, Konstantin Maka...
SPAA
2003
ACM
15 years 9 months ago
Short length menger's theorem and reliable optical routing
In the minimum path coloring problem, we are given a graph and a set of pairs of vertices of the graph and we are asked to connect the pairs by colored paths in such a way that pa...
Amitabha Bagchi, Amitabh Chaudhary, Petr Kolman
SWAT
2010
Springer
302views Algorithms» more  SWAT 2010»
15 years 9 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