Dynamic Cage Survey

  • Geoffrey Exoo
  • Robert Jajcay


A $(k, g)$-cage is a $k$-regular graph of girth $g$ of minimum order. In this survey, we present the results of over 50 years of searches for cages. We present the important theorems, list all the known cages, compile tables of current record holders, and describe in some detail most of the relevant constructions.

Author Biography

Geoffrey Exoo

First Published
This Version
DS16: Jul 26, 2013