Article ID Journal Published Year Pages File Type
4651923 Electronic Notes in Discrete Mathematics 2015 9 Pages PDF
Abstract

In this extended abstract we determine a normal limiting distribution for the number of triangles in a uniformly at random 3-connected cubic planar graph, as well as the precise expectation and variance values. Further comments towards the more complicated problem of studying both the limiting distribution of triangles in random cubic planar graphs, and the (asymptotic) number of triangle-free cubic planar graphs are discussed as well.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics