Discrepancy of cartesian products of arithmetic progressions.
The problem of minimizing the maximum edge congestion in a multicast communication network generalizes the well-known -hard multicommodity flow problem. We give the presently best theoretical approximation results as well as efficient implementations. In particular we show that for a network with edges and multicast requests, an -approximation can be computed in time, where bounds the time for computing an -approximate minimum Steiner tree. Moreover, we present a new fast heuristic that...
The problem of minimizing the maximum edge congestion in a multicast communication network generalizes the well-known -hard multicommodity flow problem. We give the presently best theoretical approximation results as well as efficient implementations. In particular we show that for a network with edges and multicast requests, an OPT + exp(1)ln)-approximation can be computed in lnln) time, where bounds the time for computing an -approximate minimum Steiner tree. Moreover, we present a new fast...
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