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- W2053012924 abstract "A crossing family of segments is a collection of segments each pair of which crosses. Given positive integers j and k,a(j,k) grid is the union of two pairwise-disjoint collections of segments (with j and k members, respectively) such that each segment in the first collection crosses all members of the other. Let c(k) be the least integer such that any planar set of c(k) points in general position generates a crossing family of k segments. Also let #(j,k) be the least integer such that any planar set of #(j,k) points in general position generates a (j,k)-grid. We establish here the facts 9≤c(3)≤16 and #(1,2)=8." @default.
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- W2053012924 date "2013-01-01" @default.
- W2053012924 modified "2023-09-30" @default.
- W2053012924 title "On Some Numbers Related to the Erdös-Szekeres Theorem" @default.
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- W2053012924 doi "https://doi.org/10.4236/ojdm.2013.33030" @default.
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