Français Anglais
Accueil Annuaire Plan du site
Accueil > Evenements > Séminaires
Séminaire du LRI
A combinatorial approach to colourful simplicial depth
Antoine Deza

17 October 2013, 14h00 - 17 October 2013, 15h00
Salle/Bat : 475/PCRI-N
Contact :

Activités de recherche :

Résumé :
A combinatorial approach to colourful simplicial depth
Antoine Deza, McMaster university, Hamilton, Ontario, Canada

The colourful simplicial depth conjecture states that any point in
the convex hull of each of d+1 sets, or colours, of d+1 points in
general position in dimension d is contained in at least d^2+1
simplices with one vertex from each set. We verify the conjecture in
dimension 4 and strengthen the known lower bounds in higher
dimensions. These results are obtained using a combinatorial
generalization of colourful point configurations called octahedral
systems. We present properties of octahedral systems generalizing
earlier results on colourful point configurations and exhibit an
octahedral system which cannot arise from a colourful point
configuration. The number of octahedral systems is also given.

based on joint-work with Frédéric Meunier (Université Paris Est,
CERMICS) and Pauline Sarrabezolles (Université Paris Est, CERMICS)

Pour en savoir plus : http://www.cas.mcmaster.ca/~deza/
Séminaires
A Two-level Auction for Resource Allocation in Mul
Réseaux sans fil et mobiles
Friday 09 March 2018 - 14h30
Salle : 445 - PCRI-N
Mira Morcos .............................................

Binary pattern of length greater than 14 are abeli
Combinatoire
Friday 09 February 2018 - 14h30
Salle : 445 - PCRI-N
Matthieu Rosenfeld .............................................

Approximate Bayesian Computation and Random Forest
Thursday 08 February 2018 - 00h00
Salle : 455 - PCRI-N
Valentin Thouzeau .............................................

A concurrent lock-free algorithm for computing a f
Combinatoire
Friday 12 January 2018 - 14h30
Salle : 445 - PCRI-N
James Mitchell .............................................

Acyclic Partitioning of Large Directed Acyclic Gra
Calcul à haute performance
Tuesday 09 January 2018 - 10h30
Salle : 465 - PCRI-N
Julien Herrmann .............................................