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For two or more classes of points in $\R^d$ with $d \ge 1$, the class covercatch digraphs (CCCDs) can be constructed using the relative positions of thepoints from one class with respect to the points from the other class. TheCCCDs were introduced by (Priebe, DeVinney, and Mar-chette, (2001). On thedistribution of the domination number of random class catch cover di-graphs.Statistics and Probability Letters, 55:239-246) who investigated the case oftwo classes, $\X$ and $\Y$. They calculated the exact (finite sample)distribution of the domination number of the CCCDs based on $\X$ pointsrelative to $\Y$ points both of which were uniformly distri-buted on a boundedinterval. We investigate the distribution of the domination number of the CCCDsbased on data from non-uniform $\X$ points on an interval with end points from$\Y$. Then we extend these calculations for multiple $\Y$ points on boundedintervals.

The Distribution of the Domination Number of Class Cover Catch Digraphs for Non-uniform One-dimensional Data