Non-expander Cayley graphs of simple groups

Abstract

For every infinite sequence of simple groups of Lie type of growing rank we exhibit connected Cayley graphs of degree at most 10 such that the isoperimetric number of these graphs converges to 0. This proves that these graphs do not form a family of expanders.

References in corpus (3)

• Finite Simple Groups as Expanders
• Universal lattices and Property $\tau$
• Suzuki groups as expanders