A characterization of 2-tree proper interval 3-graphs (Q2249945)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of 2-tree proper interval 3-graphs |
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A characterization of 2-tree proper interval 3-graphs (English)
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4 July 2014
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Summary: An interval \(p\)-graph is the intersection graph of a collection of intervals which have been colored with \(p\) different colors with edges corresponding to nonempty intersection of intervals from different color classes. We characterize the class of 2-trees which are interval 3-graphs via a list of three graphs and three infinite families of forbidden induced subgraphs.
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interval \(p\)-graph
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forbidden induced subgraphs
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