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G-2001-27

The Largest Small Octagon

Charles Audet, Pierre Hansen, Frédéric Messine, and Junjie Xiong

BibTeX reference

Thrackleation of graphs and global optimization for quadratically constrained quadratic programming are used to find the octagon with unit diameter and largest area. This proves the first open case of a conjecture of Graham (1975).

Published August 2001 , 15 pages

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