caa a22 4500 463171470 CHVBK 20180406164814.0 cr unu---uuuuu 170326e20070901xx s 000 0 eng 10.1007/s10998-007-3001-4 doi (NATIONALLICENCE)springer-10.1007/s10998-007-3001-4 Chlebíková Janka Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava, Slovakia aut A characterization of some graph classes using excluded minors [Elektronische Daten] [Janka Chlebíková] 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. Springer Science+Business Media B.V., 2007 excluded minors nationallicence ≤ k -sum of graphs nationallicence tree-width of a graph nationallicence Periodica Mathematica Hungarica Springer Netherlands 55/1(2007-09-01), 1-9 0031-5303 55:1<1 2007 55 10998 https://doi.org/10.1007/s10998-007-3001-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10998-007-3001-4 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Chlebíková Janka Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava, Slovakia aut NATIONALLICENCE 773 0- Periodica Mathematica Hungarica Springer Netherlands 55/1(2007-09-01), 1-9 0031-5303 55:1<1 2007 55 10998 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer