CMSC 858F: Algorithmic Lower Bounds: Fun with Hardness Proofs Fall 2014 Cubic hardness and all-pair shortest paths
نویسنده
چکیده
In the next two lectures, we look at lower bounds conjectured on two important and well-known problems. One is the All-Pairs-Shortest-Path(APSP) problem which is believed to be truly cubic(i.e. there is no exact algorithm for this problem which runs in time O(n ) for a constant > 0). The second problem considered is the 3−SUM problem which is conjectured to be truly quadratic(i.e. there is no exact algorithm that runs in time O(n ) for a constant > 0). This lecture will focus on the cubic hardness and the APSP problem.
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CMSC 858F: Algorithmic Lower Bounds: Fun with Hardness Proofs Fall 2014 Quadratic Hardness and the 3-SUM Problem
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