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Titlebook: Approximation and Online Algorithms; 19th International W Jochen Koenemann,Britta Peis Conference proceedings 2021 Springer Nature Switzerl

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,Constant Factor Approximation for Tracking Paths and Fault Tolerant Feedback Vertex Set,ation of the closely related . . problem. There, for a fixed integer . and a given vertex-weighted graph ., the task is to find a minimum weight set of vertices intersecting every cycle of . in at least . vertices. We give a factor . approximation algorithm for . . if . is a constant.
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,On ,-Matchings and ,-Edge Dominating Sets: A 2-Approximation Algorithm for the 4-Edge Dominating Se in the most general cases 8/3 is the best approximation ratio known attainable in polynomial time [.]. Our algorithms are designed based on the most natural LP relaxation of .-EDS and maximal .-matchings (or its generalization).
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L. Heilmeyer,A. Schittenhelm,B. Rudderm of the vector of loads of the machines. We present an EPTAS for this problem. Prior to our work only a PTAS was known in this non-renewable resource settings and this PTAS was only for the special case of our problem of makespan minimization on identical machines.
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F. Kraus,O. Minkowski,A. Schittenhelm significantly improves over the previously best known competitive ratio of . and surpasses the current best .-competitive algorithm for the integral case. Moreover, our algorithm is deterministic in contrast to the randomized algorithms achieving the results mentioned above.
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EPTAS for Load Balancing Problem on Parallel Machines with a Non-renewable Resource,m of the vector of loads of the machines. We present an EPTAS for this problem. Prior to our work only a PTAS was known in this non-renewable resource settings and this PTAS was only for the special case of our problem of makespan minimization on identical machines.
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