arbres_partie-1.pdf - Arbres Stphane Grandcolas...

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Arbres Stéphane Grandcolas [email protected] Arbres – Stéphane Grandcolas – p. 1/38
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Arbres : définition 1 Un arbre est un ensemble organisé de noeuds : chaque noeud a un père et un seul, un seul noeud la racine n’a pas de père. Les fils d’un noeud p sont les noeuds dont le père est p Les feuilles d’un arbre sont les noeuds qui n’ont pas de fils racine feuilles Arbres – Stéphane Grandcolas – p. 6/38
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Arbres : définition 2 (récursive) Un arbre est constitué d’un noeud p , sa racine , d’une suite de sous-arbres ( a 1 ,a 2 ,...,a k ) . Les racines des arbres a 1 ,a 2 ,...,a k sont les fils de p p a a a 1 2 k .... Arbres – Stéphane Grandcolas – p. 7/38
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Arbres : définitions hauteur=5 descendant ancetre niveaux profondeur=2 noeud de degré 3 racine frère chemin à la racine Arbres – Stéphane Grandcolas – p. 13/38
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Arbres Un arbre syntaxique représentant une expression arithmétique 2 75 / y t x + - z ( y/ 2 t ) × (75 + z ) Arbres – Stéphane Grandcolas – p. 2/38
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Arbres
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  • Spring '14
  • Arbre, arbre binaire, Syntagme, Stéphane Grandcolas, Généalogie

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