The Thickness of Graphs withoutK 5-Minors

Abstract

The thickness problem on graphs is NP-hard and only few results concerning this graph invariant are known. Using decomposition theorems of Wagner and Truemper, we show that the thickness of graphs without K 5-minors is less than or equal to two. Therefore, the thickness of this class of graphs can be determined with a planarity testing algorithm in linear… (More)

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