Dynamic Cage Survey
The Electronic Journal of Combinatorics2011Vol. 1000
Citations Over TimeTop 1% of 2011 papers
Abstract
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.
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