1 citations · 1 across the 6 of their papers we have counts for
6 papers
Fixating Group Actions
Guido Ahumada, Bernard Brighi, Nicolas Chevallier +1
A group of bijections G acting on a set X is said with fixed points (abbreviated as gaf from the french "groupe {à} points fixes") if any element of G has at least one fixed point…
Fixing and almost fixing a planar convex body
Augustin Fruchard
A set of points a 1 ,. .. , a n fixes a planar convex body K if the points are on bdK, the boundary of K, and if any small move of K brings some point of the set in intK, the inter…
Fair partitioning by straight lines
Augustin Fruchard, Alexander Magazinov
A pizza is a pair of planar convex bodies ,where represents the dough and the topping of the pizza. A partition of a pizza by straight lines is a succession o…
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?
Envelopes of -sections
Nicolas Chevallier, Augustin Fruchard, Costin Vîlcu
Let be a planar convex body af area , and take $0 \textless{} α\textless{} 1$.An -section of is a line cutting into two parts, one of whichhas area . This…
Small holding circles
Augustin Fruchard
A circle C holds a convex body K if C does not meet the interior of K and if there does not exist any euclidean displacement which moves C as far as desired from K, avoiding the in…