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, 14:30 - 24 January 2014, 15:30
Salle/Bat : 475/PCRI-N
Contact :

Activités de recherche : Graph Theory

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
Measuring Similarity between Logical Arguments
Automated Reasoning
Monday 06 March 2023 - 00:00
Salle : 0 - 650
Victor David .............................................

Imputing Out-of-Vocabulary Embeddings with LOVE Ma
Data-Centric Languages and Systems
Monday 20 February 2023 - 00:00
Salle : 455 - PCRI-N
Lihu Chen .............................................

On the Interplay between Software Product Lines an
Automated Reasoning
Tuesday 18 October 2022 - 14:15
Salle : 2013 - DIG-Moulon
Vander Alves .............................................

Combining randomized and observational data: Towar
Automated Reasoning
Thursday 13 October 2022 - 10:30
Salle : 2011 - DIG-Moulon
Bénédicte Colnet .............................................

New Achievements of Artificial Intelligence in Mul
Automated Reasoning
Tuesday 11 October 2022 - 14:15
Salle : 2013 - DIG-Moulon
.............................................