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Titlebook: Combinatorial Optimization; Second International A. Ridha Mahjoub,Vangelis Markakis,Vangelis Th. Pa Conference proceedings 2012 Springer-Ve

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Extended Formulations, Nonnegative Factorizations, and Randomized Communication Protocolsomized communication protocol computing the matrix in expectation. We use this connection to prove new conditional lower bounds on the sizes of extended formulations, in particular, for perfect matching polytopes.
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Dual Consistent Systems of Linear Inequalities and Cardinality Constrained Polytopesrepresented by a certain system of linear inequalities if and only if the systems of linear inequalities associated with the cardinalities are dual consistent. Typical dual consistent systems of inequalities are those which describe polymatroids, generalized polymatroids, and dual greedy polyhedra w
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Minimum Ratio Cover of Matrix Columns by Extreme Rays of Its Induced Conecovers a column . if .. > 0. In order to measure how proportional a cover is, we introduce two different minimization problems, namely the . (MGRC) and the . (MLRC) problems. In both cases, we apply the notion of the . of a vector ., which is given by .. We show that these two problems are NP-hard,
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Fast Separation Algorithms for Three-Index Assignment Problemss. To incorporate such families of inequalities within a ‘Branch & Cut’ algorithm requires one further step: that of deriving an algorithm which determines whether an inequality of a specific family is violated by a given vector (the separation problem). The idea put forward in this work is to consi
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On the Hop Constrained Steiner Tree Problem with Multiple Root Nodes an edge-weighted undirected graph whose nodes are partitioned into a set of root nodes, a set of terminals and a set of potential Steiner nodes, find a minimum-weight subtree that spans all the roots and terminals so that the number of hops between each . and an arbitrary root does not exceed a giv
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0302-9743 proceedings of the Second International Symposium on Combinatorial Optimization, ISCO 2012, held in Athens, Greece, in April 2012. The 37 revised full papers presented together with 4 invited talks were carefully reviewed and selected from 94 regular and 30 short submissions. They present original r
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