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Scott's Induced Subdivision Conjecture for Maximal Triangle-Free Graphs

Published online by Cambridge University Press:  21 March 2012

NICOLAS BOUSQUET  and
STÉPHAN THOMASSÉ
NICOLAS BOUSQUET
Affiliation:
Université Montpellier 2, CNRS, LIRMM, 161 Rue Ada, 34392 Montpellier, France (e-mail: bousquet@lirmm.fr)
STÉPHAN THOMASSÉ
Affiliation:
Laboratoire LIP (Université Lyon, CNRS, ENS Lyon, INRIA, UCBL), 46 Allée d'Italie, 69364 Lyon CEDEX 07, France (e-mail: stephan.thomasse@ens-lyon.fr)
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Abstract

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Scott conjectured in [6] that the class of graphs with no induced subdivision of a given graph is χ-bounded. We verify his conjecture for maximal triangle-free graphs.

Keywords

05C15
Type
Paper
Information
Combinatorics, Probability and Computing , Volume 21 , Issue 4 , July 2012 , pp. 512 - 514
Copyright
Copyright © Cambridge University Press 2012

References

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