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Titlebook: Gems of Combinatorial Optimization and Graph Algorithms; Andreas S. Schulz,Martin Skutella,Dorothea Wagner Book 2015 Springer Internationa

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Finding Longest Geometric Tours,We discuss the problem of finding a longest tour for a set of points in a geometric space. In particular, we show that a longest tour for a set of . points in the plane can be computed in time .(.) if distances are determined by the Manhattan metric, while the same problem is NP-hard for points on a sphere under Euclidean distances.
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Biogas zum Heizen und als Rohstoff,de additional points, so-called ., which can be inserted at arbitrary places in order to minimize the total length with respect to the given metric. This paper focuses on uniform orientation metrics where the edges of the network are restricted to lie within a given set of legal directions. We here
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Hamid Reza Garshasbi,Seyed Morteza Naghib costs and a budget. The goal is to compute a matching of maximum weight such that its cost does not exceed the budget. This problem is weakly NP-hard. We present the first polynomial-time approximation scheme for this problem. Our scheme computes two solutions to the Lagrangian relaxation of the pr
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