A note on the Erd\H{o}s conjecture about square packing https://arxiv.org/abs/2411.07274 #mathCO #mathMG
Let $f(n)$ denote the maximum total length of the sides of $n$ squares packed inside a unit square. Erdős conjectured that $f(k^2+1)=k$. We show that the conjecture is true if we assume that the sides of the squares are parallel to the sides of the unit square.
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