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Difference of forbidden pairs containing a claw

When we study forbidden subgraph conditions guaranteeing graphs to have some properties, a claw (or $K_{1,3}$) frequently appears as one of forbidden subgraphs. Recently, Furuya and Tsuchiya compared two classes generated by different forbidden pairs containing a claw, and characterized one of such classes. In this paper, we give such characterization for three new classes. Furthermore, we give applications of our characterizations to some forbidden subgraph problems.

preprint2015arXivOpen access
Guantao ChenMichitaka FuruyaSongling ShanShoichi TsuchiyaPing Yang
math.CO
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Open access5 authors1 topic
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Guantao ChenMichitaka FuruyaSongling ShanShoichi TsuchiyaPing Yang

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