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.

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.

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.

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 ...

Shuijian Zhang, Xuejun Liu, Meizhen Wang, A Novel Ant Colony Optimization Algorithm For The Shortest-path Problem In Traffic Networks, Filomat, Vol. 32, No. 5 (2018), pp. 1619-1628 ...