Almost All String Graphs are Intersection Graphs of Plane Convex Sets
نویسندگان
چکیده
منابع مشابه
Almost all string graphs are intersection graphs of plane convex sets
A string graph is the intersection graph of a family of continuous arcs in the plane. The intersection graph of a family of plane convex sets is a string graph, but not all string graphs can be obtained in this way. We prove the following structure theorem conjectured by Janson and Uzzell: The vertex set of almost all string graphs on n vertices can be partitioned into five cliques such that so...
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ژورنال
عنوان ژورنال: Discrete & Computational Geometry
سال: 2020
ISSN: 0179-5376,1432-0444
DOI: 10.1007/s00454-020-00213-z