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Asteroidal quadruples in non rooted path graphs

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2015 Argentina English Publisher:University of Zielona Góra, PolandJournal:Discussiones Mathematicae Graph Theory, volume 35, page 603 (issn: 1234-3099, eissn: 2083-5892, Copyright policy )
Authors: Gutiérrez, Marisa; Leveque, Benjamín; Tondato, Silvia B.;

doi: 10.7151/dmgt.1821

handle: 11336/45977

Asteroidal quadruples in non rooted path graphs

Abstract

A directed path graph is the intersection graph of a family of directed subpaths of a directed tree. A rooted path graph is the intersection graph of a family of directed subpaths of a rooted tree. Rooted path graphs are directed path graphs. Several characterizations are known for directed path graphs: one by forbidden induced subgraphs and one by forbidden asteroids. It is an open problem to find such characterizations for rooted path graphs. For this purpose, we are studying in this paper directed path graphs that are non rooted path graphs. We prove that such graphs always contain an asteroidal quadruple.

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Keywords

Asteroidal quadruples, asteroidal quadruples, Matemática, Rooted path graphs, [MATH] Mathematics [math], Clique trees, rooted path graphs, Clique Trees, Asteroidal Quadruples, QA1-939, https://purl.org/becyt/ford/1.1, clique trees, Structural characterization of families of graphs, https://purl.org/becyt/ford/1, Rooted Path Graphs, Mathematics

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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!
2
Average
Average
Average
Green
Published in a Diamond OA journal