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	Push-Relabel-algoritmen	Bellman-Fords algoritm	Ford-Fulkerson Algoritm
Ämnesområde	Operationsanalys	Operationsanalys	Operationsanalys
Familj	Machine learning	Machine learning	Machine learning
Ursprungsår	1988	1956	1956
Upphovsperson	Andrew V. Goldberg and Robert E. Tarjan	Richard Bellman and Lester R. Ford	Lester R. Ford and Delbert R. Fulkerson
Typ	algorithm	algorithm	algorithm
Ursprungskälla	Goldberg, A. V., & Tarjan, R. E. (1988). A new approach to the maximum flow problem. Journal of the ACM, 35(4), 921-940.	Bellman, R. (1958). On a routing problem. Quarterly of Applied Mathematics, 16(1), 87-90.	Ford, L. R., & Fulkerson, D. R. (1956). Maximal flow through a network. Canadian Journal of Mathematics, 8(3), 399-404.
Alias	preflow-push algorithm, Goldberg-Tarjan algorithm	Bellman-Ford method, Bellman algorithm	Ford-Fulkerson method, augmenting path method
Närliggande	3	3	4
Sammanfattning	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.	The Bellman-Ford Algorithm, developed by Richard Bellman and Lester R. Ford in the 1950s, is a fundamental algorithm for computing shortest paths in weighted graphs that may contain negative edge weights. Unlike Dijkstra's algorithm, it correctly handles negative weights and can detect the presence of negative-weight cycles.	The Ford-Fulkerson Algorithm, developed by Lester R. Ford and Delbert R. Fulkerson in 1956, is a foundational method for computing the maximum flow in a flow network. It finds the maximum amount of flow that can be sent from a source to a sink through a directed graph with capacity constraints on edges.