Chan (APSP on Dense Directed Graphs with Arbitrary Weights; APSP on Dense Undirected Graphs with Arbitrary Weights All-Pairs Shortest Paths (APSP))

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Time Complexity

$O(n^{3} \log^{3} \log n / \log^{2} n)$

Space Complexity

$O(n^{2})$ words

(Derived: Dividing $A$ and $B$ into $V \times q$ and $q \times V$ matrices, in total using $O(V^2)$ space )

Description

Approximate?

Exact

Randomized?

No, deterministic

Model of Computation

Word RAM

Year

2009

Reference

http://tmc.web.engr.illinois.edu/moreapsp.pdf