The US Patent and Trademark Office (USPTO) has announced the upcoming launch of an artificial intelligence (AI)-powered image-based prior-art ...

The clustered shortest-path tree problem (CluSPTP) is an extension of the classical single-source shortest-path problem, in which, given a graph with the set of nodes partitioned into a predefined, ...

Shortest path algorithms can be evaluated based on the following four criteria: • Completeness: determines whether or not the algorithm is guaranteed to find the solution to the problem, if one exists ...

This algorithm delves into some of the most important primitives in graph algorithms: iterative convergence to solutions, graph partitioning, and multi-source shortest path structures. On each of ...

Bellman-Ford algorithm So what do we do when we have negative weights? As long as there are no negative cycles in our weighted directed graph we can use the Bellman-Ford algorithm. Like Dijkstra’s ...

Dijkstra’s algorithm doesn’t just tell you the fastest route to one destination. Instead, it gives you an ordered list of travel times from your current location to every other point that you might ...

The team designed a fully dynamic APSP algorithm in the MPC model with low round complexity that is faster than all the existing static parallel APSP algorithms.