The first special-purpose algorithm for the maximum flow problem was the augmenting path method developed by Ford and Fulkerson. 14 This method is, in general, not polynomial time but can be made so.

A Java implementation of the shortest augmenting path algorithm and three preflow-push algorithms that solve the maximum flow problem: Abstract Algorithm Shortest Augmenting Path Algorithm Abstract ...

As is known, in many existing maximum flow algorithms, the search for augmenting paths is critical but highly time-consuming. Thus, this paper proposes an incremental maximum flow algorithm based on ...

Discover an innovative approach to solving the maximum flow problem in parametric networks. Our method eliminates the need for piecewise linear functions and offers the advantage of conditional ...

We present an Õ (m 7/10 U 1/7)-time algorithm for the maximum s-t flow problem (and the minimum s-t cut problem) in directed graphs with m arcs and largest integer capacity U. This matches the running ...

Notes for Fall 2024, 6.5210 Advanced Algorithms. Contribute to womogenes/6.5210-fall-24-notes development by creating an account on GitHub.

Previous max-flow algorithms have come at the problem one edge, or path, at a time, Kelner says.

In 2022, a team of computer scientists presented a groundbreaking algorithm for the maximum flow problem: How does one transport the most supplies from a source node to a sink node in a network while ...

Previous max-flow algorithms have come at the problem one edge, or path, at a time, Kelner says. So for example, when sending items from node A to node B, the algorithms would transmit some of the ...