Large complete minors in expanding graphs

Abstract

In 2009, Krivelevich and Sudakov studied the existence of large complete minors in $(t,\alpha )$-expanding graphs whenever the expansion factor $t$ becomes super-constant. In this paper, we give an extension of the results of Krivelevich and Sudakov by investigating a connection between the existence of large complete minors in graphs and good vertex expansion properties.

11 pages