Title of article :
The Largest Small Octagon
Author/Authors :
Audet، نويسنده , , Charles and Hansen، نويسنده , , Pierre and Messine، نويسنده , , Frédéric and Xiong، نويسنده , , Junjie، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2002
Abstract :
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 R. L. Graham (J. Combin. Theory Ser. A18 (1975), 165–170).
Keywords :
diameter , thrackleation , Area , quadratic programming , octagon
Journal title :
Journal of Combinatorial Theory Series A
Journal title :
Journal of Combinatorial Theory Series A