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[identity profile] writinghawk.livejournal.com Fri 2014-03-14 18:30
This seems to disagree with my version of your bound above in some cases. The smallest is s(5,7). The true optimum is 5/3

Ah yes, I lost sight of the possibility that the expression I was seeking would sometimes be lower than m/3 (whereas the actual bound from this approach can't be). I meant

s' = max [ m/3, min [ m-n/p, n/(p+1) ]]

but I'm less and less confident that I was right, so if you have cases where this expression is still different from the bound you've calculated, let me know and I'll have another go :-) It would be very nice to get an explicit expression for the bound, whatever it is.

would you like me to credit you as [livejournal.com profile] writinghawk

I should be honoured!
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