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Forbidden induced subgraphs for star-free graphs

✍ 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

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πŸ“œ SIMILAR VOLUMES


Line Graphs and Forbidden Induced Subgra
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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

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## 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