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.
Hindawi Publishing Corporation
Type (DCMI Terms)
Journal of Discrete Mathematics
First Page Number
Last Page Number
David E. Brown and Breeann M. Flesch, “A Characterization of 2-Tree Proper Interval 3-Graphs,” Journal of Discrete Mathematics, vol. 2014, Article ID 143809, 7 pages, 2014. doi:10.1155/2014/143809
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This work is licensed under a Creative Commons Attribution 4.0 License.