Characterizing path graphs by forbidden induced subgraphs

Published 6 Mar 2008 in cs.DM | (0803.0956v3)

Abstract: 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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