Reduction from Minimum Triangle to Second Shortest Simple Path
Revision as of 10:55, 15 February 2023 by Admin (talk | contribs) (Created page with "FROM: Minimum Triangle TO: Second Shortest Simple Path == Description == == Implications == if: to-time: $T(n,W)$ where there are $n$ nodes and integer weights in $({0}, W)$<br/>then: from-time: $T(O(n), O(nW))$ for $n$ node graph with integer weights in $(-W, W)$ == Year == 2018 == Reference == V. V. Williams, R. R. Williams, Subcubic Equivalences Between Path, Matrix, and Triangle Problems. 2018. https://dl-acm-org.ezproxy.canberra.edu.au/doi/pdf/10.1145/3186893, Theorem...")
FROM: Minimum Triangle TO: Second Shortest Simple Path
Description
Implications
if: to-time: $T(n,W)$ where there are $n$ nodes and integer weights in $({0}, W)$
then: from-time: $T(O(n), O(nW))$ for $n$ node graph with integer weights in $(-W, W)$
Year
2018
Reference
V. V. Williams, R. R. Williams, Subcubic Equivalences Between Path, Matrix, and Triangle Problems. 2018.
https://dl-acm-org.ezproxy.canberra.edu.au/doi/pdf/10.1145/3186893, Theorem 5.5