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 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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01.04.2017
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| ISSN: | 0364-9024, 1097-0118, 1097-0118 |
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| Abstract | 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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| AbstractList | 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. |
| Author | Janson, Svante Uzzell, Andrew J. |
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| Title | On String Graph Limits and the Structure of a Typical String Graph |
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