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Finding Real-Valued Single-Source Shortest Paths in o(n^3) Expected Time
Stavros G. Kolliopoulos, Clifford Stein
Dartmouth PCS-TR95-272

Abstract: 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.


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   Stavros G. Kolliopoulos and Clifford Stein, "Finding Real-Valued Single-Source Shortest Paths in o(n^3) Expected Time." Dartmouth Computer Science Technical Report PCS-TR95-272, October 1995.


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