Pré-Publication, Document De Travail Année : 2008

Characterizing path graphs by forbidden induced subgraphs

Résumé

A graph is a path graph if it is the intersection graph of a family of subpaths of a tree. In 1970, Renz asked for a characterizaton of path graphs by forbidden induced subgraphs. Here we answer this question by listing all graphs that are not path graphs and are minimal with this property.

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Dates et versions

hal-00261413 , version 1 (06-03-2008)
hal-00261413 , version 2 (12-03-2008)
hal-00261413 , version 3 (17-04-2008)

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Benjamin Lévêque, Frédéric Maffray, Myriam Preissmann. Characterizing path graphs by forbidden induced subgraphs. 2008. ⟨hal-00261413v2⟩
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