On String Graph Limits and the Structure of a Typical String Graph

We study limits of convergent sequences of string graphs, that is graphs with an intersection representation consisting of curves in the plane. We use these results to study the limiting behavior of a sequence of random string graphs. We also prove similar results for several related graph classes.

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Veröffentlicht in:Journal of graph theory Jg. 84; H. 4; S. 386 - 407
Hauptverfasser: Janson, Svante, Uzzell, Andrew J.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Hoboken Wiley Subscription Services, Inc 01.04.2017
Schlagworte:
graph limits
hereditary property
string graph
ISSN:0364-9024, 1097-0118, 1097-0118
Online-Zugang:Volltext
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Zusammenfassung:We study limits of convergent sequences of string graphs, that is graphs with an intersection representation consisting of curves in the plane. We use these results to study the limiting behavior of a sequence of random string graphs. We also prove similar results for several related graph classes.
Bibliographie:Contract grant sponsor: Knut and Alice Wallenberg Foundation.
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ISSN:0364-9024
1097-0118
1097-0118
DOI:10.1002/jgt.22031