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Aug 13, 2017 at 16:08 comment added Suvrit seems like $0\le t \le 1/2$ could hold, though not yet fully sure. Perhaps the following paper: arxiv.org/abs/1507.00853 sparks some ideas....
Aug 13, 2017 at 11:41 comment added jjcale Yes, this is also a counterexample. Next interesting case is $t = 1/2$ .
Aug 12, 2017 at 22:59 comment added Suvrit Could you verify that $B=\{\{12,-4, 0\},\{-4, 2, 2\},\{0, 2, 8\}\}$ and $R=\{\{-2, -3 ,-2\},\{-3 ,-7,-3\},\{-2, -3, 3\}\}$ for $s=9$ and $t=7/4$ yields a counterexample.
Aug 12, 2017 at 22:41 comment added jjcale Do you have also a counterexample for $t \le 2$ ?
Aug 12, 2017 at 7:45 vote accept jjcale
Aug 11, 2017 at 21:45 history answered Suvrit CC BY-SA 3.0