Dijkstra’s algorithm was long thought to be the most efficient way to find a graph’s best routes. Researchers have now proved that it’s “universally optimal.” ...

Old Bound (Dijkstra): O (m+nlog⁡n)O (m+nlogn) New Bound: O (mlog⁡2/3n)O (mlog2/3n) For sparse graphs where mm is about O (n)O (n), this is asymptotically faster as nn grows. Practical & Theoretical ...

The team proposed Graph-Decomposed k -NN Searching Algorithm to improve the time-efficiency of nearest nodes searching. In the research, A graph-decomposed tree is constructed from road network.

Russell Eveleigh is using a Raspberry Pi Pico to demonstrate Dijkstra's algorithm visually with LEDs arranged as a map of the Cotswolds in England.