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Nov 8, 2016 at 16:31 comment added Richard Stanley One reference, which also discusses a lot of related problems, is arxiv.org/pdf/math/0607446v2.pdf.
Nov 8, 2016 at 13:50 comment added TOM Dear Fedor Petrov, thank you for the information. Maybe there is a standard reference or paper that deals with this problem?
Nov 8, 2016 at 13:47 comment added Fedor Petrov It is equivalent to placing $m$ points on the sphere $\mathbb{S}^{n-1}$ so that the minimal distance between them is a maximal. This have been studied a lot. Only in few cases the complete answer is known.
Nov 8, 2016 at 13:37 history asked TOM CC BY-SA 3.0