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 ...

In practice, many algorithms always seem to work efficiently. But in theory, there is no guarantee. In an arXiv preprint, researchers from the Kwan Group at the Institute of Science and Technology ...

Two computer scientists found — in the unlikeliest of places — just the idea they needed to make a big leap in graph theory.