Now a trio of computer scientists has solved this long-standing problem. Their new algorithm, which finds the shortest paths through a graph from a given “source” node to every other node, nearly ...

June 28, 2024 — Computer scientists have written a network flow algorithm that computes almost as fast as is mathematically possible. This algorithm computes the maximum traffic flow with ...

One of the most classic algorithmic problems deals with calculating the shortest path between two points. A more complicated variant of the problem is when the route traverses a changing network ...

In 1970, Yefim Dinitz found an efficient way to use all the shortest paths in the network in a single step. This created an algorithm whose runtime, in networks with low capacities, was shown by ...

However, there are no existing dynamic all-pairs shortest paths (APSP) algorithms working in the MPC model. ... Frontiers of Computer Science DOI 10.1007/s11704-024-3452-2. Keywords ...

Rozhoň suggested they try to devise a universally optimal algorithm for the single-source shortest-paths problem. “I said, ‘No, but that’s not possible; that just cannot be done ...

The OSPF Weight Setting Problem lies at the intersection of computational complexity and practical implementation. At its core, it involves finding an optimal configuration of link weights that minimi ...

Following a similar design process, we will design efficient algorithms for a sequence of problems: shortest paths, minimal cycle ratios, maximal network flows, min-cost flows, and convex cost flows.