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Boundary Classes of Planar Graphs

Published online by Cambridge University Press:  01 March 2008

VADIM LOZIN
VADIM LOZIN*
Affiliation:
Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK (e-mail: V.Lozin@warwick.ac.uk)
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Abstract

We analyse classes of planar graphs with respect to various properties such as polynomial-time solvability of the dominating set problem or boundedness of the tree-width. A helpful tool to address this question is the notion of boundary classes. The main result of the paper is that for many important properties there are exactly two boundary classes of planar graphs.

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Type
Paper
Information
Combinatorics, Probability and Computing , Volume 17 , Issue 2 , March 2008 , pp. 287 - 295
Copyright
Copyright © Cambridge University Press 2007

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