
arXiv: 0803.0956
AbstractA 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 Wiley Periodicals, Inc. J Graph Theory 62: 369–384, 2009
FOS: Computer and information sciences, Extremal problems in graph theory, Discrete Mathematics (cs.DM), path graphs, forbidden induced subgraphs, [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], Paths and cycles, intersection graphs, 004, Computer Science - Discrete Mathematics
FOS: Computer and information sciences, Extremal problems in graph theory, Discrete Mathematics (cs.DM), path graphs, forbidden induced subgraphs, [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], Paths and cycles, intersection graphs, 004, Computer Science - Discrete Mathematics
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