Séminaire d'équipe(s) Graphs, ALgorithms and Combinatorics

Expérimentations sur le calcul hautes performances en combinatoire énumérative et algébrique.
Florent Hivert

19 April 2019, 14:30 Salle/Bat : 455/PCRI-N
Contact :

Activités de recherche : Combinatorics

Résumé :

In this talk, I will report on several experiments around large scale enumerations in enumerative and algebraic combinatorics.

I'll describe a methodology used to achieve large speedups in several enumeration problems. Indeed, in many combinatorial structures (permutations, partitions, monomials, young tableaux), the data can be encoded as a small sequence of small integers that can often efficiently be handled by a creative use of processor vector instructions. Through the challenging example of numerical monoids, I will then report on how Cilkplus allows for a extremely fast parallelization of the enumeration. Indeed, we have been able to enumerate sets with more that 10^15 elements on a single multicore machine.

This work was done in collaboration with Jean Fromentin.