A note on online and recursively arbitrarily vertex-partitionable balloons

Olivier Baudon (1) , Florent Foucaud (1) , Monika Pilsniak (2)

1 LaBRI - Laboratoire Bordelais de Recherche en Informatique
2 AGH UST - AGH University of Science and Technology [Krakow, PL]

In this note, we study arbitrarily vertex-partitionable balloons. In particular, we show that an online arbitrarily vertex-partitionable balloon has maximum degree at most 5. Moreover, we exhibit some infinite families of online and recursively vertex-partitionable balloons with four and five branches.

Domaines: Mathématique discrète [cs.DM]

Olivier Baudon, Florent Foucaud, Monika Pilsniak. A note on online and recursively arbitrarily vertex-partitionable balloons. 2012. ⟨hal-00656232⟩