Krishnendu Bhowmick, Ben Lund, Oliver Roche-Newton
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Abstract
We give a construction of a convex set with cardinality such that contains a convex subset with cardinality . We also consider the following variant of this problem: given a convex set , what is the size of the largest matching such that the set
期刊介绍：
Mathematika publishes both pure and applied mathematical articles and has done so continuously since its founding by Harold Davenport in the 1950s. The traditional emphasis has been towards the purer side of mathematics but applied mathematics and articles addressing both aspects are equally welcome. The journal is published by the London Mathematical Society, on behalf of its owner University College London, and will continue to publish research papers of the highest mathematical quality.
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