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Counting Vines

In: Dependence Modeling Vine Copula Handbook

Author

Listed:
  • O. Morales-Nápoles

    (Delft Institute of Applied Mathematics, Mekelweg 4, 2628CD Delft, The Netherlands)

Abstract

In this chapter, three algorithms for producing and enumerating regular vines are presented. The first one produces all possible vines on n nodes and regular vines are found by inspection. The second one uses the concept of line graphs to produce only regular vines. The third algorithm produces regular vines by extending a regular vine on three nodes to a regular vine on n nodes. The first and second algorithms presented have been used for the construction of a catalogue of labeled regular vines on at most nine nodes and tree-equivalent regular vines on at most seven. This catalogue is presented as an appendix to the chapter.

Suggested Citation

  • O. Morales-Nápoles, 2010. "Counting Vines," World Scientific Book Chapters, in: Dorota Kurowicka & Harry Joe (ed.), Dependence Modeling Vine Copula Handbook, chapter 9, pages 189-218, World Scientific Publishing Co. Pte. Ltd..
    • Handle: RePEc:wsi:wschap:9789814299886_0009
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