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maximum flow algorithm

A Fast Max Flow Algorithm

Published: 2018/08/01
  • Xiao-Yue Gong
  • James B. Orlin
Categories Graphs and Matroids, Network Optimization Tags maximum flow algorithm, network flows

In 2013, Orlin proved that the max flow problem could be solved in O(nm) time. His algorithm was the fastest for very sparse graphs. If the graph was not sufficiently sparse, the fastest running time was an algorithm due to King, Rao, and Tarjan. We describe a new variant of the excess scaling algorithm for … Read more

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alternating direction method of multipliers augmented lagrangian method benders decomposition bilevel optimization Branch-and-Bound branch-and-cut chance constraints column generation combinatorial optimization complexity constrained optimization convex optimization cutting planes decomposition derivative-free optimization distributionally robust optimization duality dynamic programming first-order methods global convergence global optimization heuristics integer programming interior point methods large-scale optimization linear programming machine learning mixed-integer linear programming mixed-integer nonlinear programming mixed-integer programming multiobjective optimization nonconvex optimization nonlinear optimization nonlinear programming nonsmooth optimization optimal control optimization proximal point algorithm quadratic programming robust optimization semidefinite programming stochastic optimization stochastic programming trust-region methods unconstrained optimization

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