In 1996, Dor, Halperin, and Zwick introduced an influential method that delivered a “2-approximation” in nearly optimal time.

Most of you have used a navigation app like Google Maps for your travels at some point. These apps rely on algorithms that compute shortest paths through vast networks. Now imagine scaling that task ...

The original version of this story appeared in Quanta Magazine. If you’ve been making the same commute for a long time, you’ve probably settled on what seems like the best route. But “best” is a ...

Fuzzy optimization for shortest path problems addresses uncertainty in network weights by representing arc costs with fuzzy numbers rather than crisp values. By extending classical algorithms—such as ...