1 citations · 1 across the 6 of their papers we have counts for
7 papers
Crossing numbers of simplicial complexes
Alfredo Hubard, Cheikh Saliou Ndiaye, Oriol Solé-Pi
This paper studies crossing numbers of -dimensional simplicial complexes drawn in or . We clarify and generalize a number of known results and c…
Volume and Projection Inequalities II: Determinants and -Sums
Matthieu Fradelizi, Auttawich Manui, Cheikh Saliou Ndiaye +1
We study inequalities for the volume of orthogonal projections and their relation to Firey -sum, together with their determinant-power analogues, motivated by the Dembo--Cover…
Volume and Projection Inequalities I: Zonoids and Courtade's Conjecture
Matthieu Fradelizi, Alfredo Hubard, Auttawich Manui +3
We study volume and projection inequalities for zonoids through the multiaffine determinant polynomials that encode their volumes. We show that a log-submodularity conjecture for t…
L_p-Rogers--Shephard type inequalities for L_p-zonoids and symmetric bodies
Matthieu Fradelizi, Auttawich Manui, Mark Meyer +1
We study generalizations of the classical Rogers--Shephard inequalities in the framework of Firey -summation. We first consider the class of asymmetric -zonoids. In this…
Equality cases for the -Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in
Matthieu Fradelizi, Auttawich Manui, Mark Meyer +1
The classical Rogers--Shephard inequalities were extended to the Firey -summation by Bianchini and Colesanti in the plane and by Zvavitch and the second and fourth authors for…
On the volume of sums of anti-blocking bodies
Auttawich Manui, Cheikh Saliou Ndiaye, Artem Zvavitch
We study inequalities on the volume of Minkowski sum in the class of anti-blocking bodies. We prove analogues of Plünnecke-Ruzsa type inequality and V. Milman inequality on the con…
A note on Bézout type inequalities for mixed volumes and Minkowski sums
Cheikh Saliou Ndiaye
In this note, we study B{é}zout type inequalities for mixed volume and Minkowski sum of convex bodies in R n. We first give a new proof and we extend inequalities of Jian Xiao on m…