Forbidden induced subgraphs for star-free graphs
β Scribed by Jun Fujisawa; Katsuhiro Ota; Kenta Ozeki; Gabriel Sueiro
- Book ID
- 113567391
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 291 KB
- Volume
- 311
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
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Beineke and Robertson independently characterized line graphs in terms of nine forbidden induced subgraphs. In 1994, S8 olte s gave another characterization, which reduces the number of forbidden induced subgraphs to seven, with only five exceptional cases. A graph is said to be a dumbbell if it con
## Abstract A path graph is the intersection graph of subpaths of a tree. In 1970, Renz asked for a characterization of path graphs by forbidden induced subgraphs. We answer this question by determining the complete list of graphs that are not path graphs and are minimal with this property. Β© 2009