Applications of Graph and Hypergraph Theory in Geometry
نویسنده
چکیده
The aim of this survey is to collect and explain some geometric results whose proof uses graph or hypergraph theory. No attempt has been made to give a complete list of such results. We rather focus on typical and recent examples showing the power and limitations of the method. The topics covered include forbidden configurations, geometric constructions, saturated hypergraphs in geometry, independent sets in graphs, the regularity lemma, and VC-dimension.
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Extremal Hypergraphs and Combinatorial Geometry
Here we overview some of the methods and results of extremal graph and hypergraph theory. A few geometric applications are also given.
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