Title: Two-dimensional quantum gravity - a laboratory for fluctuating graphs and quenched connectivity disorder
Author(s):

	W.Janke (Institut für Theoretische Physik and Centre for Theoretical Sciences (NTZ), Universität Leipzig, Augustusplatz 10/11, D-04109 Leipzig, Germany) ,
	D.A.Johnston (Department of Mathematics, School of Mathematical and Computer Sciences, Heriot-Watt University, Riccarton, Edinburgh EH14 4AS, Scotland) ,
	M.Weigel (Department of Mathematics, School of Mathematical and Computer Sciences, Heriot-Watt University, Riccarton, Edinburgh EH14 4AS, Scotland)

This paper gives a brief introduction to using two-dimensional discrete and Euclidean quantum gravity approaches as a laboratory for studying the properties of fluctuating and frozen random graphs in interaction with "matter fields" represented by simple spin or vertex models. Due to the existence of numerous exact analytical results and predictions for comparison with simulational work, this is an interesting and useful enterprise.

Key words: quantum gravity, annealed and quenched disorder, critical phenomena
PACS: 04.60.-m, 05.10.Ln, 05.50.+q, 64.60.Fr

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