Characterizing paths graphs on bounded degree trees by minimal forbidden induced subgraphs

Characterizing path graphs by forbidden

Characterizing path graphs by forbidden induced subgraphs

✍ Benjamin Lévêque; Frédéric Maffray; Myriam Preissmann 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 197 KB

## 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. © 2009