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Titlebook: Integer Programming and Combinatorial Optimization; 9th International IP William J. Cook,Andreas S. Schulz Conference proceedings 2002 Spri

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Lecture Notes in Computer Sciencehttp://image.papertrans.cn/i/image/468255.jpg
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A Faster Scaling Algorithm for Minimizing Submodular Functions,chrijver. The IFF algorithm employs a scaling scheme for submodular functions, whereas Schrijver’s algorithm exploits distance labeling. This paper combines these two techniques to yield a faster combinatorial algorithm for submodular function minimization. The resulting algorithm improves over the
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,A Generalization of Edmonds’ Matching and Matroid Intersection Algorithms,roved that this problem is solvable in polynomial time via the ellipsoid method. We present a polynomial-time combinatorial algorithm for its unweighted version that generalizes the known combinatorial algorithms for the cardinality matching problem and the matroid intersection problem.
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The Quickest Multicommodity Flow Problem,this method makes available the whole algorithmic toolbox developed for static flows, its main and often fatal drawback is the enormous size of the time-expanded network. In particular, this approach usually does not lead to efficient algorithms with running time polynomial in the input size since t
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A New Min-Cut Max-Flow Ratio for Multicommodity Flows,tio, capacity of a cut is scaled by the demand that has to cross the cut. In the denominator, the maximum concurrent flow value is used. Our new bound is proportional to log(.*) where .* is the cardinality of the minimal vertex cover of the demand graph.
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Improved Rounding Techniques for the MAX 2-SAT and MAX DI-CUT Problems,s for the MAX 2-SAT and MAX DI-CUT problems. These approximation algorithms start by solving semidefinite programming relaxations of these problems. They then . the solution obtained, as suggested by Feige and Goemans. Finally, they round the rotated vectors using random hyperplanes chosen according
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Finding the Exact Integrality Gap for Small Traveling Salesman Problems,hich seems promising for finding improved solutions for the STSP is the study of a linear relaxation of this problem called the Subtour Elimination Problem (SEP). A well known conjecture in combinatorial optimization says that the integrality gap of the SEP is 4/3 in the metric case. Currently the b
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