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S Feb 21, 2012 at 11:16 vote accept WangYao
S Feb 21, 2012 at 10:59 vote accept WangYao
S Feb 21, 2012 at 11:16
Feb 21, 2012 at 10:59 vote accept WangYao
S Feb 21, 2012 at 10:59
Feb 21, 2012 at 10:59 vote accept WangYao
Feb 21, 2012 at 10:59
S Feb 21, 2012 at 10:59 vote accept WangYao
Feb 21, 2012 at 10:59
Feb 21, 2012 at 10:58 vote accept WangYao
S Feb 21, 2012 at 10:59
Feb 21, 2012 at 9:11 answer added Roland Bacher timeline score: 9
Feb 20, 2012 at 23:33 comment added Boris Bukh It seems that you are asking about $K_{k,k}$ case of Zarankiewicz problem (if you want a square only in blue). Otherwise, you basically ask about the bipartite Ramsey number $R(K_{k,k},K_{k,k}). This should give you enough of keywords to search for.
Feb 20, 2012 at 22:57 answer added Douglas Zare timeline score: 4
Feb 20, 2012 at 22:11 comment added Gerry Myerson A variant of this problem is discussed at cstheory.stackexchange.com/questions/791/…
Feb 20, 2012 at 21:59 comment added Gerry Myerson The figure also shows a combinatorial $4\times4$ square filled by ones, the 4 rows and the 1st, 3rd, 5th, and 6th columns. On the other hand, it's not an $X\times X$ plane, unless one $X$ is 4 and the other $X$ is 6. I'm assuming a combinatorial square is an arbitrary selection of $k$ rows and $k$ columns.
Feb 20, 2012 at 18:58 comment added Will Sawin The definition of combinatorial square seems confusing. Do you mean to say that the row and column indices of the points of the square form arithmetic progressions, with arbitrary spacing? Must the spacing be the same in the two coordinates?
Feb 20, 2012 at 18:36 history asked WangYao CC BY-SA 3.0