Machine learningGraph Algorithms

Push-Relabel Algorithm

The Push-Relabel Algorithm, developed by Andrew V. Goldberg and Robert E. Tarjan in 1988, is a highly efficient method for computing maximum flow in networks. Unlike augmenting path methods, it maintains a preflow and uses local push and global relabeling operations to drive flow toward the sink, achieving superior worst-case complexity.

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Sources

  1. Goldberg, A. V., & Tarjan, R. E. (1988). A new approach to the maximum flow problem. Journal of the ACM, 35(4), 921-940. DOI: 10.1145/48014.61051
  2. Goldberg, A. V. (1998). Recent advances in maximum flow and minimum-cost flow algorithms. In Algorithm Theory (pp. 1-10). Springer, Berlin. DOI: 10.1007/3-540-68397-9_1

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Referenced by

ScholarGatePush-Relabel Algorithm (Push-Relabel Algorithm for Maximum Flow). Retrieved 2026-06-04 from https://scholargate.app/en/operations-research/push-relabel-algorithm