Maximum flow problem in distributed environment
Our contribution here is to design efficient distributed algorithms for the maximum flow problem. The idea behind our distributed version of highest-label preflow-push algorithm is to disseminate label values together with safety information from every node. When the algorithm terminates, the computed flow is stored distributedly in incident nodes for all edges, that is, each node knows the values of flow which belong to its adjacent edges. We compute maximum flow in O(n 2 log 3 n) time with communication complexity O(n 2 (log3n + √m)), where n and m are the number of nodes and edges respectively in a network graph.
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