In such cases, the fastest known shortest-path algorithm doesn’t work. For decades, fast algorithms for finding shortest paths on negative-weight graphs have remained elusive.

There is a new sorting algorithm a deterministic O (m log2/3 n)-time algorithm for single-source shortest paths (SSSP) on directed graphs with real non-negative edge weights in the comparison-addition ...

So all shortest paths must be of length at most k. <BR><BR>One solution, which works well for small k, is to run the Bellman-Ford algorithm (slightly modified) for k steps. This takes O (km) time.

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

Among these, shortest path queries are instrumental in identifying the most efficient routes within a network, thereby reducing cost, time and resource consumption.

Unfortunately, prior research does not provide a clear direction for choosing an algorithm when one faces the problem of computing shortest paths on real road networks. Most of the computational ...

It is known that minimum cost flow problems can be solved by successive augmentations along shortest paths. In this paper the issues of implementing shortest path algorithms in this context are ...

Graph Algorithms and Shortest Path Queries Publication Trend The graph below shows the total number of publications each year in Graph Algorithms and Shortest Path Queries.