Document Type

Technical Report

Publication Date


Technical Report Number



Given an $n$-vertex directed network $G$ with real costs on the edges and a designated source vertex $s$, we give a new algorithm to compute shortest paths from $s$. Our algorithm is a simple deterministic one with $O(n^2 \log n)$ expected running time over a large class of input distributions. The shortest path problem is an old and fundamental problem with a host of applications. Our algorithm is the first strongly-polynomial algorithm in over 35 years to improve upon some aspect of the running time of the celebrated Bellman-Ford algorithm for arbitrary networks, with any type of cost assignments.