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Journal of Graph Theory
Article . 2009 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2008
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Characterizing path graphs by forbidden induced subgraphs

Authors: Lévêque, Benjamin; Maffray, Frédéric; Preissmann, Myriam;

Characterizing path graphs by forbidden induced subgraphs

Abstract

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

Country
France
Keywords

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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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Average
Top 10%
Top 10%
Green
bronze