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

05 October 2018, 14:30
Salle/Bat : 445/PCRI-N
Contact :

Activités de recherche : Graph Theory

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
Pierre Andrieu - Agrégation de classements pour le
Thursday 21 October 2021 - 00:00
Salle : 435 - PCRI-N
.............................................

A counting argument for graph colouring
Graph Theory
Friday 08 October 2021 - 11:00
Salle : 445 - PCRI-N
Francois Pirot .............................................

Demographic reconstruction from paleogenomes of th
Thursday 25 February 2021 - 14:00
Salle : 435 - PCRI-N
Nina Marchi .............................................

A Graph-based Similarity Approach to Classify Recu
Thursday 18 February 2021 - 14:00
Salle : 435 - PCRI-N
Coline Gianfrotta .............................................

"Answer Set Programming for computing constraints-
Thursday 04 February 2021 - 14:00
Salle : 435 - PCRI-N
Maxime Mahout .............................................