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Fast Estimation of Diameter and Shortest Paths (without Matrix Multiplication) Export

In SODA: {ACM}-{SIAM} Symposium on Discrete Algorithms (A Conference on Theoretical and Experimental Analysis of Discrete Algorithms) (1996)

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In the recent past, there has been considerable progress in devising algorithms for the all-pairs shortest paths problem running in time significantly smaller than the obvious time bound of O(n³). Unfortunately, all the new algorithms are based on fast matrix multiplication algorithms that are notoriously impractical. Our work is motivated by the goal of devising purely combinatorial algorithms that match these improved running times. Our results come close to achieving this goal, in that...


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