Discussiones Mathematicae Graph Theory 33(1) (2013)
33-47

doi: 10.7151/dmgt.1671

*Dedicated to Mieczysł aw Borowiecki on his 70th birthday*

Izak Broere
Department of Mathematics and Applied Mathematics | Johannes Heidema
Department of Mathematical Sciences |

In a final section we discuss the outlook on future work; in particular the question of characterizing those induced-hereditary properties for which there is a universal graph in the property.

**Keywords:** countable graph, universal graph, induced-hereditary property

**2010 Mathematics Subject Classification:** 05C63.

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Received 24 October 2012

Accepted 2 January 2013