On Vertex Partitions and some Minor-Monotone Parameters

Daniel Gonçalves 1
1 ALGCO - Algorithmes, Graphes et Combinatoire
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : We study vertex partitions of graphs according to some minor-monotone graph parameters. Ding et al. [J Combin Theory Ser B 79(2) (2000), 221-246] proved that some minor-monotone parameters ρ are such that, any graph G with ρ(G)⩾2 admits a vertex partition into two graphs with parameter ρ at most ρ(G) − 1. Here we prove that some of these parameters ρ are such that, any graph G with ρ(G)⩾3 admits a vertex partition into three graphs with parameter ρ at most ρ(G) − 2.
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https://hal-lirmm.ccsd.cnrs.fr/lirmm-00808034
Contributor : Daniel Gonçalves <>
Submitted on : Thursday, April 4, 2013 - 5:14:41 PM
Last modification on : Thursday, May 24, 2018 - 3:59:22 PM

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Daniel Gonçalves. On Vertex Partitions and some Minor-Monotone Parameters. Journal of Graph Theory, Wiley, 2010, 66 (1), pp.49-56. ⟨lirmm-00808034⟩

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