'Empty tree' presentation slideshows

Trees

1.04k views • 84 slides

Trees

Trees. Initially prepared by Dr. Ilyas Cicekli ; improved by various Bilkent CS202 instructors. What is a Tree?. T is a tree if either T has no nodes, or T is of the form: where r is a node and T 1 , T 2 , ..., T k are trees. Tree Terminology.

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Trees --Part I

955 views • 78 slides

Trees

Trees. Outline. Preliminaries What is Tree? Implementation of Trees using C++ Tree traversals and applications Binary Trees Binary Search Trees Structure and operations Analysis AVL Trees. root. T k. T 1. T 2. . What is a Tree?.

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Trees, Trees, and More Trees

Trees, Trees, and More Trees. Trees, Trees, and More Trees.

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Ch 13: Advanced Table Implementations

Ch 13: Advanced Table Implementations As we saw in chapter 11 the ordered binary tree ADT offers a good compromise between the rigid size and need for shifting in an array implementation and the need for sequential search found in an ordered or unordered linked list

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Red Black Trees (Guibas Sedgewick 78) CLRS: Chapter 13

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Tree

Tree. 1. 2. 5. 6. 7. 3. 4. Basic characteristic. Top node = root Left and right subtree Node 1 is a parent of node 2,5,6 . Node 2 is a parent of node 3,4 == Node 3,4 are children of node 2. Node 3 and 4 are siblings. Node 1 is an ancestor of node 7.

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?????????. ? ?? 96363034 ?? ????. ???????????. 1962 ?????? ??? ? G.M.Adelson-Velskii ? E.M.Landis ????????????? ??????????????? AVL ?? AVL ? ??? ???????? 1 ?????. ???????. ???????????? ?? 8,12,14,18,20,23,44,52 ?? 23,18,12,8,14,20,44,52. ???????. ?? 8,12,14,18,20,23,44,52.

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Binary Trees

Binary Trees . Chapter 6. 6.1 Trees, Binary Trees, and Binary Search Trees . Linked lists usually are more flexible than arrays, but it is difficult to use them to organize a hierarchical representation of objects.

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Trees

Trees. Binary Trees. Tree Terminology. Trees are used to represent the relationship between data items. All trees are hierarchical in nature which means there is a parent-child relationship between "nodes" in a tree. The lines between nodes are called directed edges.

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Design Patterns for Self-Balancing Trees

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Trees 3 The Binary Search Tree Section 4.3

Trees 3 The Binary Search Tree Section 4.3. Binary Search Tree. Also known as Totally Ordered Tree Definition: A binary tree B is called a binary search tree iff: There is an order relation ? defined for the vertices of B

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Tree Traversals, TreeSort

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AVL Trees Data Structures Fall 2008 Evan Korth

AVL Trees Data Structures Fall 2008 Evan Korth. Adopted from a presentation by Simon Garrett and the Mark Allen Weiss book. AVL (Adelson-Velskii and Landis) tree.

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Balanced search trees: 2-3 trees.

Balanced search trees: 2-3 trees. 2-3 trees allow us to process ordered lists in more efficient way than binary trees with an ordering property. Recall that the worst case search efficiency in the later is O(N). All balanced trees guaranty at least O(logN) efficiency for

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Binary Search Tree (BST)

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Trees

Trees. By P.Naga Srinivasu M.tech ,(MBA). Basic Tree Concepts. A tree consists of finite set of elements, called nodes , and a finite set of directed lines called branches , that connect the nodes.

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Tree Traversal

Tree Traversal. +. Inorder traversal: A/B*C*D+E ( LVR ) Infix form Preorder traversal: +**/ABCDE ( VLR ) Prefix form Postorder traversal: AB/C*D*E+ ( LRV ) Postfix form . *. E. *. D. 1. /. C. 2. 17. A. B. 3. 14. 18. 19. 4. 11. 15. 16. 8. 5. 12. 13. 6. 7. 9. 10.

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Binary Trees & Insertion

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