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» On the knapsack closure of 0-1 Integer Linear Programs
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EVOW
2006
Springer
13 years 9 months ago
The Core Concept for the Multidimensional Knapsack Problem
Abstract. We present the newly developed core concept for the Multidimensional Knapsack Problem (MKP) which is an extension of the classical concept for the one-dimensional case. T...
Jakob Puchinger, Günther R. Raidl, Ulrich Pfe...
MOR
2002
94views more  MOR 2002»
13 years 5 months ago
The Complexity of Generic Primal Algorithms for Solving General Integer Programs
ngly better objective function value until an optimal solution is reached. From an abstract point of view, an augmentation problem is solved in each iteration. That is, given a fea...
Andreas S. Schulz, Robert Weismantel
ICALP
2011
Springer
12 years 8 months ago
Steiner Transitive-Closure Spanners of Low-Dimensional Posets
Given a directed graph G = (V, E) and an integer k ≥ 1, a Steiner k-transitive-closure-spanner (Steiner k-TC-spanner) of G is a directed graph H = (VH , EH ) such that (1) V ⊆ ...
Piotr Berman, Arnab Bhattacharyya, Elena Grigoresc...
CAV
2008
Springer
158views Hardware» more  CAV 2008»
13 years 7 months ago
Linear Arithmetic with Stars
We consider an extension of integer linear arithmetic with a "star" operator takes closure under vector addition of the solution set of a linear arithmetic subformula. We...
Ruzica Piskac, Viktor Kuncak
FOCS
2005
IEEE
13 years 11 months ago
Truthful and Near-Optimal Mechanism Design via Linear Programming
We give a general technique to obtain approximation mechanisms that are truthful in expectation. We show that for packing domains, any α-approximation algorithm that also bounds ...
Ron Lavi, Chaitanya Swamy