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Subcritical Graph Classes Containing All Planar Graphs

Published online by Cambridge University Press:  22 March 2018

AGELOS GEORGAKOPOULOS
Affiliation:
Mathematics Institute, University of Warwick, CV4 7AL, UK
STEPHAN WAGNER
Affiliation:
Department of Mathematical Sciences, Stellenbosch University, Private Bag X1, Matieland 7602, South Africa (e-mail: swagner@sun.ac.za)
Corresponding
E-mail address:

Abstract

We construct minor-closed addable families of graphs that are subcritical and contain all planar graphs. This contradicts (one direction of) a well-known conjecture of Noy.

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Paper
Copyright
Copyright © Cambridge University Press 2018 

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Footnotes

Supported by the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement no. 639046).

Supported by the National Research Foundation of South Africa, grant number 96236.

References

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