# Random ℓ-colourable structures with a pregeometry

@article{Ahlman2017RandomS, title={Random ℓ-colourable structures with a pregeometry}, author={Ove Ahlman and Vera Koponen}, journal={Math. Log. Q.}, year={2017}, volume={63}, pages={32-58} }

- Published in Math. Log. Q. 2017
DOI:10.1002/malq.201500006

We study nite l-colourable structures with an underlying pregeometry. The probability measure that is used corresponds to a process of generating such structures (with a given underlying pregeometry) by which colours are rst randomly assigned to all 1-dimensional subspaces and then relationships are assigned in such a way that the colouring conditions are satis ed but apart from this in a random way. We can then ask what the probability is that the resulting structure, where we now forget the… CONTINUE READING

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