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Titlebook: Integer Programming and Combinatorial Optimization; 5th International IP William H. Cunningham,S. Thomas McCormick,Maurice Conference proc

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楼主: Conformist
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An optimal, stable continued fraction algorithm for arbitrary dimension, which are up to the factor 2. best possible. Given a real vector . =(..,..., .., 1) εℝ. this CFA generates a sequence of vectors (...)..., ..., ..) εℤ., . = 1, 2,... with increasing integers ¦..¦ satisfying for . = 1,..., . − 1 .By a theorem of Dirichlet this bound is best possible in that the expo
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A heuristic algorithm for the set covering problem,eme for the variables, akin to that used for solving large-scale LP‘s, to be coupled with subgradient optimization and greedy algorithms, and (2) the systematic use of column fixing to obtain improved solutions. Moreover, we propose a number of improvements on the standard way of defining the step-s
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,An ε-Relaxation method for generalized separable convex cost network flow problems,ry slackness satisfied at all iterations and adjusts the arc flows and the node prices so to satisfy flow conservation upon termination. Each iteration of the method involves either a price change at a node or a flow change at an arc or a flow change around a simple cycle. Complexity bounds for the
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A network-flow technique for finding low-weight bounded-degree spanning trees, tree such that the degree of each vertex is at most its specified bound is considered. In particular, modifying a given spanning tree . using . to meet the degree constraints is considered. A novel network-flow based algorithm for finding a good sequence of adoptions is introduced. The method yield
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Approximating ,-set cover and complementary graph coloring,ormance ratios of 1.4 + ε, for any constant ε > 0. Similar improvements hold also for collections of larger sets. A corollary of this result is an improved performance ratio of 4/3 for the problem of minimizing the unused colors in a graph coloring.
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Primal-dual approximation algorithms for feedback problems in planar graphs,blem generalizes a number of problems, including the minimum-weight feedback vertex set problem in both directed and undirected graphs, the subset feedback vertex set problem, and the graph bipartization problem, in which one must remove a minimum-weight set of vertices so that the remaining graph i
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