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 ...

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 ...

The new algorithm is “absurdly fast,” said Daniel Spielman of Yale University. “I was actually inclined to believe … algorithms this good for this problem would not exist.” Maximum flow has been ...

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 ...

This algorithm solves the minimum-cost maximum-flow problem for networks that incrementally change as new connections are added. Furthermore, in a second paper accepted by the IEEE Symposium on ...

We present the results of a computational investigation of the pseudoflow and push-relabel algorithms for the maximum flow and minimum s-t cut problems. The two algorithms were tested on several ...

Researchers have devised an "absurdly fast" algorithm to solve the problem of finding the fastest flow through a network.

In the "classical" network flow model, flows are constrained by the capacities of individual arcs. In the "polymatroidal" network flow model introduced in this paper, flows are constrained by the ...