On the Maximum Degree of a Random Planar Graph.

Let the random graph Rn be drawn uniformly at random from the set of all simple planar graphs on n labelled vertices. We see that with high probability the maximum degree of Rn is ⊖(ln n). We consider also the maximum size of a face and the maximum increase in the number of components on deleting a...

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Bibliographic Details
Main Authors: McDiarmid, C, Reed, B
Format: Journal article
Language:English
Published: 2008

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