Titlebook: Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques; 7th International Wo Klaus Jansen,Sanjeev Khanna,Da

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A 3/4-Approximation Algorithm for Maximum ATSP with Weights Zero and OneWe present a polynomial time 3/4-approximation algorithm for the maximum asymmetric TSP with weights zero and one..As applications, we get a 5/4-approximation algorithm for the (minimum) asymmetric TSP with weights one and two and a 3/4-approximation algorithm for the Maximum Directed Path Packing Problem.

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Simultaneous Source Locationbe satisfied. We give an exact algorithm for trees and show how this can be combined with a result of Räcke to give a solution that exceeds edge capacities by at most .(log.. log log.), where . is the number of nodes. On graphs of bounded treewidth, we show the problem is still NP-Hard, but we are a

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