Français Anglais
Accueil Annuaire Plan du site
Accueil > Evenements > Séminaires
Séminaire d'équipe(s)
A characterization of restricted box graphs
Zhentao Li

24 January 2014, 14h30 - 24 January 2014, 15h30
Salle/Bat : 475/PCRI-N
Contact :

Activités de recherche : Théorie des graphes

Résumé :
We show that there is a subdivision of $K_4$, the complete graph on 4 vertices, which is not the intersection graph of two dimensional axis-parallel boxes with some restrictions on the placement of these boxes. We dub this class restricted box graphs.

Our work arises in the study of $chi$-bounded classes of graphs, namely we consider a conjecture of Scott. It states that for any graph $H$, the class of graphs excluding all subdivisions of $H$ as induced subgraphs is $chi$-bounded. He showed this conjecture holds when $H$ is a tree, but a recent result of Pawlik et al. proves Scott's conjecture is false when $H$ is a (specific) subdivision of $K_5$. Restricted box graphs are not $chi$-bounded and we use this fact to show Scott's conjecture is false for a subdivision of $K_4$ by characterizing graphs whose 2-subdivision (the graph obtained by subdividing every edge twice) is a restricted box graph.

This is joint work with Jérémie Chalopin, Louis Esperet, Frantisek Kardos, Patrice Ossona de Mendez and Stéphan Thomassé.

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 .............................................