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Rectangle Tiling Binary Arrays

Published in arXiv (Cornell University) • Jul 28, 2020
NobleIDNI9P70W52R19S29
Authors:
Pratik Ghosal
,
Syed Mohammad Meesum
,
Katarzyna Paluch

Abstract

The problem of rectangle tiling binary arrays is defined as follows. Given an $n \times n$ array $A$ of zeros and ones and a natural number $p$, our task is to partition $A$ into at most $p$ rectangular tiles, so that the maximal weight of a tile is minimized. A tile is any rectangular subarray of $...

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