A. Fruchard

activity

20102019

α

-sections

1 citations · 1 across the 6 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.MG2015

Fair partitioning by straight lines

Augustin Fruchard, Alexander Magazinov

A pizza is a pair of planar convex bodies $A \subseteq B$ ,where $B$ represents the dough and $A$ the topping of the pizza. A partition of a pizza by straight lines is a succession o…

math.CO2015

What is the minimal cardinal of a family which shatters all d-subsets of a finite set?

N. Chevallier, A. Fruchard

What is the minimal cardinal of a family which shatters all d-subsets of a finite set?

math.MG2015★ 1 cited

Envelopes of $α$ -sections

Nicolas Chevallier, Augustin Fruchard, Costin Vîlcu

Let $K$ be a planar convex body af area $∣ K ∣$ , and take $0 \textless{} α\textless{} 1$.An $α$ -section of $K$ is a line cutting $K$ into two parts, one of whichhas area $α ∣ K ∣$ . This…

Fair partitioning by straight lines

What is the minimal cardinal of a family which shatters all d-subsets of a finite set?

Envelopes of α-sections

Envelopes of $α$ -sections