Article ID Journal Published Year Pages File Type
4652387 Electronic Notes in Discrete Mathematics 2009 5 Pages PDF
Abstract

Let c(n) be the maximum number of cycles in an outerplanar graph with n vertices. We show that limc(n)1/n exists and equals β=1.502837…, where β is a constant related to the recurrence , x0=1. The same result holds for the larger class of series-parallel graphs.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics