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

被引:4
|
作者
Janson, Svante [1 ]
Uzzell, Andrew J. [1 ]
机构
[1] Uppsala Univ, Dept Math, SE-75106 Uppsala, Sweden
关键词
hereditary property; graph limits; string graph; INTERSECTION GRAPHS; NUMBER; HEREDITARY; SEQUENCES;
D O I
10.1002/jgt.22031
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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. (C) 2016 Wiley Periodicals, Inc.
引用
收藏
页码:386 / 407
页数:22
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