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FSTTCS
2005
Springer
15 years 8 months 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
167
Voted
SODA
2012
ACM
205views Algorithms» more  SODA 2012»
13 years 5 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
147
Voted
STOC
2007
ACM
181views Algorithms» more  STOC 2007»
16 years 3 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
15 years 9 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 7 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