Abstract
The class of ((n+12)n−1(n+13)3)-configurations which contain at least n−2Kn-graphs coincides with the class of so called systems of triangle perspectives i.e. of configurations which contain a bundle of n−2 Pasch configurations with a common line. For n=5 the class consists of all binomial partial Steiner triple systems on 15 points, that contain at least three K5-graphs. In this case a complete classification of respective configurations is given and their automorphisms are determined.
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