The distribution of the domination number of class cover catch digraphs for non-uniform one-dimensional data

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The distribution of the domination number of class cover catch digraphs for non-uniform one-dimensional data

For two or more classes of points in Rd with d ≥ 1, the class cover catch digraphs (CCCDs) can be constructed using the relative positions of the points from one class with respect to the points from one or all of the other classes. The CCCDs were introduced by Priebe et al. [C.E. Priebe, J.G. DeVinney, D.J. Marchette, On the distribution of the domination number of random class catch cover dig...

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On the distribution of the domination number for random class cover catch digraphs

In this article we initiate the study of class cover catch digraphs, a special case of intersection digraphs motivated by applications in machine learning and statistical pattern recognition. Our main result is the exact distribution of the domination number for a data-driven model of random interval catch digraphs. c © 2001 Elsevier Science B.V. All rights reserved

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2008

ISSN: 0012-365X

DOI: 10.1016/j.disc.2007.10.003