Title: Even-hole-free planar graphs have bounded treewidth
Abstract: The class of planar graphs has unbounded treewidth, since the k×k grid, ∀k∈N, is planar and has treewidth k. So, it is of interest to determine subclasses of planar graphs which have bounded treewidth. In this paper, we show that if G is an even-hole-free planar graph, then it does not contain a 9 × 9 grid minor. As a result, we have that even-hole-free planar graphs have treewidth at most 44.
Publication Year: 2008
Publication Date: 2008-02-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 1
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