Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Strongly Polynomial Algorithms for the Unsplittable Flow Problem
 

Summary: Strongly Polynomial Algorithms for the
Unsplittable Flow Problem
Yossi Azar 1 and Oded Regev 2
1 Dept. of Computer Science, Tel-Aviv University, Tel-Aviv, 69978, Israel.
azar@math.tau.ac.il
? ? ?
2 Dept. of Computer Science, Tel-Aviv University, Tel-Aviv, 69978, Israel.
odedr@math.tau.ac.il
Abstract. We provide the rst strongly polynomial algorithms with
the best approximation ratio for all three variants of the unsplittable
ow problem (UFP ). In this problem we are given a (possibly directed)
capacitated graph with n vertices and m edges, and a set of terminal pairs
each with its own demand and pro t. The objective is to connect a subset
of the terminal pairs each by a single ow path as to maximize the total
pro t of the satis ed terminal pairs subject to the capacity constraints.
Classical UFP , in which demands must be lower than edge capacities,
is known to have an O(
p
m) approximation algorithm. We provide the
same result with a strongly polynomial combinatorial algorithm. The

  

Source: Azar, Yossi - School of Computer Science, Tel Aviv University
Bartal, Yair - School of Computer Science and Engineering, Hebrew University of Jerusalem

 

Collections: Computer Technologies and Information Sciences