This algorithm computes the maximum traffic flow with minimum transport costs for any type of network. It thus solves a key question in theoretical computer science. The superfast algorithm also ...

The six researchers decided instead to dig into the guts of the algorithm and tailor its various components to the maximum flow problem. These components, they suspected, might even allow them to ...

That algorithm, developed by Probst Gutenberg and five other researchers, addressed a more general problem called minimum-cost flow, in which the goal is to optimize transport through many paths in ...

With the goal of advancing the state of art of our understanding of BP, we study the performance of BP in the context of the capacitated minimum-cost network flow problem—a cornerstone in the ...

To tackle the problem, researchers have traditionally used a maximum-flow algorithm, also known as “max flow,” in which a network is represented as a graph with a series of nodes, known as ...

Previous maximum flow algorithms made steady and incremental advances, but they still took longer to find the optimal flow than to process the network data. But the new research, presented on June ...

The Graph Algorithms Team has contributed to this problem with a new ILP (Integer Linear Program) formulation for minimum flow decomposition and a “safe and complete” algorithm. Both works will be ...

This algorithm computes the maximum traffic flow with minimum transport costs for any type of network. It thus solves a key question in theoretical computer science. The superfast algorithm also lays ...