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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
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.
Bibliographic citation for this report: [plain text] [BIB] [BibTeX] [Refer]
Or copy and paste:
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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