Français Anglais
Accueil Annuaire Plan du site
Accueil > Evenements > Séminaires
Séminaire d'équipe(s) GALaC
Maximum Independent Set in H-free graphs
Edouard BONNET

05 October 2018, 14h30
Salle/Bat : 445/PCRI-N
Contact :

Activités de recherche : Théorie des graphes

Résumé :
Maximum Independent Set (MIS) in graphs without a connected H as an induced subgraph (that is, H-free) is NP-complete when H is not a tree with at most one vertex of degree at least 3. For the other graphs H, which are paths and subdivisions of the claw (K_1,3), the computational complexity of MIS is generally open except for a small number of cases.
We will explore the parameterized complexity of MIS in H-free graphs.
Our distant goal is to establish a dichotomy of the H for which the problem can be solved in time f(k)n^{O(1)} and the ones for which such an algorithm is unlikely to exist (where n is the total number of vertices, k is the size of the solution, and f is any computable function).
Recast in the parameterized complexity language, we want to know when the problem is FPT and when it is W[1]-complete.
We will present a selection of results and draw a parallel with the situation for the 'classical dichotomy' (P/NP-complete).

This is joint work with Nicolas Bousquet, Pierre Charbit, Stéphan Thomassé, and Rémi Watrigant.

Pour en savoir plus :
Séminaires
Programming computing media (reporté)
Combinatoire
Friday 18 September 2020 - 14h30
Salle : 445 - PCRI-N
Frédéric Gruau .............................................

forum-dev Continuous Integration
Friday 05 June 2020 - 10h00
Salle : 0 - 650
Erik Bray .............................................

Large-scale Spectral Clustering for GPU-based Plat
Calcul à haute performance
Tuesday 24 March 2020 - 10h30
Salle : 465 - PCRI-N
Guanlin He .............................................

Recherche Opérationnelle à Google
Optimisation combinatoire et stochastique
Thursday 12 March 2020 - 14h30
Salle : 445 - PCRI-N
Laurent Perron .............................................

Forum dev-LRI
Wednesday 05 February 2020 - 14h00
Salle : 455 - PCRI-N
Erik Bray .............................................