String graphs requiring exponential representations
type: Item
instance of: scholarly article
title: String graphs requiring exponential representations
zbMATH Open document ID: 0675.05059
DOI: 10.1016/0095-8956(91)90050-T
author: Jan Kratochvíl
author: Jiří Matoušek
published in: Journal of Combinatorial Theory. Series B
publication date: 1991-01-01T00:00:00Z
review text: We provide a construction of a graph on O(n) vertices which can be represented as the intersection graph of a system of curves in the plane, but every such representation contains at least \(2^ n\) intersecting points of the curves.
Mathematics Subject Classification ID: 05C99
zbMATH DE Number: 4105014
zbMATH Keywords: intersection graph
zbMATH Keywords: curves
MaRDI profile type: Publication
cites work: Intersection graphs of curves in the plane
cites work: Energy, central charge, and the BPS bound for \(1+1\)-dimensional supersymmetric solitons
cites work: String graphs. II: Recognizing string graphs is NP-hard
cites work: Topology of Thin Film RC Circuits
description: scientific article; zbMATH DE number 4105014