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FSTTCS
2005
Springer
16 years 29 days ago
The Set Cover with Pairs Problem
Abstract. We consider a generalization of the set cover problem, in which elements are covered by pairs of objects, and we are required to find a minimum cost subset of objects th...
Refael Hassin, Danny Segev
233
Voted
SODA
2012
ACM
205views Algorithms» more  SODA 2012»
13 years 10 months ago
Approximate duality of multicommodity multiroute flows and cuts: single source case
Given an integer h, a graph G = (V, E) with arbitrary positive edge capacities and k pairs of vertices (s1, t1), (s2, t2), . . . , (sk, tk), called terminals, an h-route cut is a ...
Petr Kolman, Christian Scheideler
STOC
2007
ACM
181views Algorithms» more  STOC 2007»
16 years 7 months ago
How to rank with few errors
We present a polynomial time approximation scheme (PTAS) for the minimum feedback arc set problem on tournaments. A simple weighted generalization gives a PTAS for KemenyYoung ran...
Claire Kenyon-Mathieu, Warren Schudy
FORMATS
2007
Springer
16 years 1 months ago
Quantitative Model Checking Revisited: Neither Decidable Nor Approximable
Abstract. Quantitative model checking computes the probability values of a given property quantifying over all possible schedulers. It turns out that maximum and minimum probabilit...
Sergio Giro, Pedro R. D'Argenio
COCOON
2006
Springer
15 years 11 months ago
A PTAS for Cutting Out Polygons with Lines
We present a simple O(m+n6 / 12 ) time (1+ )-approximation algorithm for the problem of cutting a convex n-gon out of a convex m-gon with line cuts of minimum total cutting length....
Sergey Bereg, Ovidiu Daescu, Minghui Jiang