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A characterization of some graph classes using excluded minors
Authors:Janka Chlebíková
Affiliation:(1) Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava, Slovakia
Abstract:
In this article we present a structural characterization of graphs without K 5 and the octahedron as a minor. We introduce semiplanar graphs as arbitrary sums of planar graphs, and give their characterization in terms of excluded minors. Some other excluded minor theorems for 3-connected minors are shown. Communicated by Attila Pethő
Keywords: and phrases excluded minors     k-sum of graphs  tree-width of a graph
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