String graph: Difference between revisions

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No, we do not need a citation in the lead for a concept that the entire sourced content of the article elaborates
m There is no need to restrict the set of strings to a set where no three strings intersect at the same point. Actually, the proof that Kn is a string graph is by made using n strings that intersect in one single point.
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{{short description|Intersection graph for curves in the plane}}
 
In [[graph theory]], a '''string graph''' is an [[intersection graph]] of [[Plane curve|curves in the plane]]; each curve is called a "string". Given a [[Graph (discrete mathematics)|graph]] {{mvar|G}}, {{mvar|G}} is a string graph [[if and only if]] there exists a set of curves, or strings, drawn in the plane such that no three strings intersect at a single point and such that the graph having a [[Vertex (graph theory)|vertex]] for each curve and an edge for each intersecting pair of curves is [[Graph isomorphism|isomorphic]] to {{mvar|G}}.
 
== Background ==