Reduction from Betweenness Centrality (BC) to Diameter

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FROM: Betweenness Centrality (BC) TO: Diameter

Description

Implications

if: to-time: Truly subcubic
then: from-time: Truly subcubic Monte-Carlo PTAS

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.ezproxy.canberra.edu.au/doi/10.1137/1.9781611973730.112, Lemma 4.10