Random cubic planar graphs.

We show that the number of labeled cubic planar graphs on n vertices with n even is asymptotically αn-7/2 ρ-nn!, where ρ-1 = 3.13259 and α are analytic constants. We show also that the chromatic number of a random cubic planar graph that is chosen uniformly at random among all the labeled cubic plan...

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Bibliographic Details
Main Authors: Bodirsky, M, Kang, M, Löffler, M, McDiarmid, C
Format: Conference item
Published: 2007