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- W1981259396 abstract "As a consequence of the Erdős–Szekeres theorem we prove that, for n large enough, any set of kn points, in general position in Ed,d⩾3, can be partitioned into n convex subsets of size k. Although this is far from being true for d=2, we find the exact conditions under which, for sufficiently large n, any set of 4n points, in general position in the plane, can be partitioned into n convex quadrilaterals. Moreover, we design an efficient algorithm which either finds such a partition, or indicates that such a partition does not exist, thus answering a question of Joe Mitchell." @default.
- W1981259396 created "2016-06-24" @default.
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- W1981259396 date "2001-04-01" @default.
- W1981259396 modified "2023-10-16" @default.
- W1981259396 title "Ramsey-remainder for convex sets and the Erdős–Szekeres theorem" @default.
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- W1981259396 doi "https://doi.org/10.1016/s0166-218x(00)00234-1" @default.
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