Article ID Journal Published Year Pages File Type
4657108 Journal of Combinatorial Theory, Series B 2010 5 Pages PDF
Abstract

A class of simple undirected graphs is small if it contains at most n!αn labeled graphs with n vertices, for some constant α. We prove that for any constants c,ε>0, the class of graphs with expansion bounded by the function f(r)=cr1/3−ε is small. Also, we show that the class of graphs with expansion bounded by is not small.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics