Reduction from CNF-SAT to Approximate Reach Centrality: Difference between revisions
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== Description == | == Description == | ||
$ | $\alpha$-approximation for any finite $\alpha$ (possibly depending on $m$) | ||
== Implications == | == Implications == | ||
if: to-time: $O(m^{2-\epsilon})$<br/>then: from-time: $O*({2}^{({1}-\ | if: to-time: $O(m^{2-\epsilon})$ for some $\epsilon > {0}$<br/>then: from-time: $O*({2}^{({1}-\delta)n})$ for some $\delta > {0}$ | ||
== Year == | == Year == | ||
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Amir Abboud, Fabrizio Grandoni, and Virginia Vassilevska Williams. Subcubic equivalences between graph centrality problems, APSP and diameter. In Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2015, San Diego, CA, USA, January 4-6, 2015, pages 1681–1697, 2015. | Amir Abboud, Fabrizio Grandoni, and Virginia Vassilevska Williams. Subcubic equivalences between graph centrality problems, APSP and diameter. In Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2015, San Diego, CA, USA, January 4-6, 2015, pages 1681–1697, 2015. | ||
https://epubs.siam.org/doi/10.1137/1.9781611973730.112, | https://epubs.siam.org/doi/10.1137/1.9781611973730.112, Corollary 4.2 | ||
Revision as of 09:59, 10 April 2023
FROM: CNF-SAT TO: Approximate Reach Centrality
Description
$\alpha$-approximation for any finite $\alpha$ (possibly depending on $m$)
Implications
if: to-time: $O(m^{2-\epsilon})$ for some $\epsilon > {0}$
then: from-time: $O*({2}^{({1}-\delta)n})$ for some $\delta > {0}$
Year
2015
Reference
Amir Abboud, Fabrizio Grandoni, and Virginia Vassilevska Williams. Subcubic equivalences between graph centrality problems, APSP and diameter. In Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2015, San Diego, CA, USA, January 4-6, 2015, pages 1681–1697, 2015.
https://epubs.siam.org/doi/10.1137/1.9781611973730.112, Corollary 4.2