手法を比較

	プッシュ・リラベル法	ダイクストラ法	フォード・ファルカーソン法
分野	オペレーションズ・リサーチ	オペレーションズ・リサーチ	オペレーションズ・リサーチ
系統	Machine learning	Machine learning	Machine learning
提唱年	1988	1956	1956
提唱者	Andrew V. Goldberg and Robert E. Tarjan	Edsger W. Dijkstra	Lester R. Ford and Delbert R. Fulkerson
種類	algorithm	algorithm	algorithm
原典	Goldberg, A. V., & Tarjan, R. E. (1988). A new approach to the maximum flow problem. Journal of the ACM, 35(4), 921-940.	Dijkstra, E. W. (1959). A note on two problems in connexion with graphs. Numerische Mathematik, 1(1), 269-271.	Ford, L. R., & Fulkerson, D. R. (1956). Maximal flow through a network. Canadian Journal of Mathematics, 8(3), 399-404.
別名	preflow-push algorithm, Goldberg-Tarjan algorithm	Dijkstra's algorithm, shortest path algorithm	Ford-Fulkerson method, augmenting path method
関連	3	3	4
概要	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.	Dijkstra's Algorithm, introduced by Edsger W. Dijkstra in 1956, is one of the most fundamental algorithms in computer science for solving the single-source shortest path problem. It finds the shortest path from a starting vertex to all other vertices in a weighted graph with non-negative edge weights.	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.