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Minimal forbidden induced subgraphs of graphs of bounded clique-width and bounded linear clique-width

In the study of full bubble model graphs of bounded clique-width and bounded linear clique-width, we determined complete sets of forbidden induced subgraphs, that are minimal in the class of full bubble model graphs. In this note, we show that (almost all of) these graphs are minimal in the class of all graphs. As a corollary, we can give sets of minimal forbidden induced subgraphs for graphs of bounded clique-width and for graphs of bounded linear clique-width for arbitrary bounds.

preprint2014arXivOpen access
Daniel MeisterUdi Rotics
math.CODiscrete Mathematics
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Daniel MeisterUdi Rotics

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