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Approche combinatoire

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Part of the Mathématiques et Applications book series (MATHAPPLIC, volume 83)

Abstract

Dans ce chapitre, nous nous intéressons aux différentes familles d’arbres définies au chapitre  1, essentiellement pour les dénombrer ; souvent nous obtenons aussi les premiers moments (espérance et variance) de la distribution de divers paramètres définis sur ces arbres. Nous étudions d’abord plusieurs types d’arbres planaires : les arbres binaires en section 4.1 et une généralisation aux familles simples d’arbres en section 4.2, puis les tas en section 4.3 et les arbres équilibrés : arbres 2–3 et arbres-B, en section 4.4.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Laboratoire de MathématiquesUniversité Versailles, Saint-Quentin-en-YvelinesVersailles CedexFrance
  2. 2.GREYC, CNRS UMR 6072Normandie UniversitéCaen CedexFrance
  3. 3.Laboratoire DAVIDUniversité Versailles, Saint-Quentin-en-YvelinesVersailles CedexFrance

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