Quantitative Improvement 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.

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 ...

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.