Abstract

ABSTRACTWe give two results for multicommodity flows in the d‐dimensional hypercube with independent random edge‐capacities distributed like a random variable C where . Firstly, with high probability as , the network can support simultaneous multicommodity flows of volume close to between all antipodal vertex pairs. Secondly, with high probability, the network can support simultaneous multicommodity flows of volume close to between all vertex pairs. Both results are best possible. © 2016 Wiley Periodicals, Inc. Random Struct. Alg., 50, 437–463, 2017

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