Dorit Dor, Shay Halperin, Uri Zwick

Let G=(V,E) be an unweighted undirected graph on n vertices. A simple

argument shows that computing all distances in G with an additive

one-sided error of at most 1 is as hard as Boolean matrix

multiplication. Building on recent work of Aingworth, Chekuri and

Motwani, we describe an \tilde{O}(min{n^{3/2}m^{1/2},n^{7/3}) time

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Uri Zwick

We present two new algorithms for solving the {\em All

Pairs Shortest Paths\/} (APSP) problem for weighted directed

graphs. Both algorithms use fast matrix multiplication algorithms.

The first algorithm

solves the APSP problem for weighted directed graphs in which the edge

weights are integers of small absolute value in ...
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