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.

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 ...

In this note we present some computational evidence to suggest that a version of Bellman's shortest-path algorithm outperforms Treesort-Dijkstra's for a certain class of networks ...

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.

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 ...