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2 votes
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Maximum coverage of an orthogonal polygon using $k$ rectangles

I have an orthogonal polygon (all edges are horizontal or vertical) which is convex (no holes in any row of column of the polygon). I would like to cover as much as possible of this orthogonal polygon ...
2 votes
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149 views

Cardinality of compact doubling metric spaces with fast growing covering numbers

In this question it was established that if the growth of the number of branches of an at-most $k$-branching tree is $\Omega(k^n)$ (in the Knuth sense), then the tree has continuum many branches. ...