The Erdos and Campbell-Staton conjectures about square packing
Metric Geometry
2007-05-23 v1
Abstract
Put n open non-overlapping squares inside a unit square, and let f(n) denote the maximum possible value of the sum of the side lengths of the n squares. Campbell and Staton, building on a question of Erdos, conjectured that f(k^2+2c+1)=k+c/k, where c is any integer and k\geq |c|. We show that if this conjecture is true for one value of c, then it is true for all values of c.
Keywords
Cite
@article{arxiv.math/0504341,
title = {The Erdos and Campbell-Staton conjectures about square packing},
author = {Iwan Praton},
journal= {arXiv preprint arXiv:math/0504341},
year = {2007}
}
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2 pages