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» The Shortcut Problem - Complexity and Approximation
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FOCS
2008
IEEE
15 years 4 months ago
On the Approximability of Budgeted Allocations and Improved Lower Bounds for Submodular Welfare Maximization and GAP
In this paper we consider the following maximum budgeted allocation (MBA) problem: Given a set of m indivisible items and n agents; each agent i willing to pay bij on item j and w...
Deeparnab Chakrabarty, Gagan Goel
CORR
2010
Springer
157views Education» more  CORR 2010»
15 years 3 months ago
A Dense Hierarchy of Sublinear Time Approximation Schemes for Bin Packing
The bin packing problem is to find the minimum number of bins of size one to pack a list of items with sizes a1,
Richard Beigel, Bin Fu
ALGORITHMICA
2005
95views more  ALGORITHMICA 2005»
15 years 3 months ago
Near-Linear Time Approximation Algorithms for Curve Simplification
Abstract. We consider the problem of approximating a polygonal curve
Pankaj K. Agarwal, Sariel Har-Peled, Nabil H. Must...
ALGORITHMICA
2005
149views more  ALGORITHMICA 2005»
15 years 3 months ago
Approximating Maximum Weight Cycle Covers in Directed Graphs with Weights Zero and One
A cycle cover of a graph is a spanning subgraph each node of which is part of exactly one simple cycle. A k-cycle cover is a cycle cover where each cycle has length at least k. Gi...
Markus Bläser, Bodo Manthey
CORR
2002
Springer
135views Education» more  CORR 2002»
15 years 3 months ago
Randomized Approximation Schemes for Cuts and Flows in Capacitated Graphs
We improve on random sampling techniques for approximately solving problems that involve cuts and flows in graphs. We give a near-linear-time construction that transforms any grap...
András A. Benczúr, David R. Karger