On the Number of Edges in Random Planar Graphs.

We consider random planar graphs on n labelled nodes, and show in particular that if the graph is picked uniformly at random then the expected number of edges is at least 13/7n + o(n). To prove this result we give a lower bound on the size of the set of edges that can be added to a planar graph on n...

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Bibliographic Details
Main Authors: Gerke, S, McDiarmid, C
Format: Journal article
Language:English
Published: 2004