Jan Petr

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20242026

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math.CO2024

Towards odd-sunflowers: temperate families and lightnings

Jan Petr, Pavel Turek

Motivated by odd-sunflowers, introduced recently by Frankl, Pach, and P{á}lv{ö}lgyi, we initiate the study of temperate families: a family $F \subseteq P ([n])$ …

math.CO2024

Reconstructing almost all of a point set in $R^{d}$ from randomly revealed pairwise distances

Douglas Barnes, Jan Petr, Julien Portier +2

Let $V$ be a set of $n$ points in $R^{d}$ , and suppose that the distance between each pair of points is revealed independently with probability $p$ . We study when this infor…

Towards odd-sunflowers: temperate families and lightnings

Reconstructing almost all of a point set in Rd from randomly revealed pairwise distances

Reconstructing almost all of a point set in $R^{d}$ from randomly revealed pairwise distances