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Cuttrees in the topological analysis of branching patterns

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Abstract

In this paper the effects of the occurrence of cut trees in the topological analysis of branching patterns have been studied. It is assumed that branches are removed at random from the trees. We prove that, for both the segmental and terminal growth models, the probability distributions of the cut trees are identical to those of complete trees.

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Authors and Affiliations

  1. Netherlands Institute for Brain Research, P.O. Box 41850, 1009 DB Amsterdam, The Netherlands

    J. Van Pelt & R. W. H. Verwer

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  1. J. Van Pelt
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  2. R. W. H. Verwer
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Van Pelt, J., Verwer, R.W.H. Cuttrees in the topological analysis of branching patterns. Bltn Mathcal Biology 46, 283–294 (1984). https://doi.org/10.1007/BF02460075

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  • DOI: https://doi.org/10.1007/BF02460075

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