Tree

Binary Search Tree ,[object Object],[object Object],[object Object],[object Object],Nyhoff, ADTs, Data Structures and Problem Solving with C++, Second Edition, © 2005 Pearson Education, Inc. All rights reserved. 0-13-140909-3 80 66 62 49 35 28 13

Trees ,[object Object],Nyhoff, ADTs, Data Structures and Problem Solving with C++, Second Edition, © 2005 Pearson Education, Inc. All rights reserved. 0-13-140909-3 Root node Leaf nodes ,[object Object]

Binary Trees ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Nyhoff, ADTs, Data Structures and Problem Solving with C++, Second Edition, © 2005 Pearson Education, Inc. All rights reserved. 0-13-140909-3

Linked Representation of Binary Trees ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Nyhoff, ADTs, Data Structures and Problem Solving with C++, Second Edition, © 2005 Pearson Education, Inc. All rights reserved. 0-13-140909-3

Binary Trees as Recursive Data Structures ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Nyhoff, ADTs, Data Structures and Problem Solving with C++, Second Edition, © 2005 Pearson Education, Inc. All rights reserved. 0-13-140909-3 Anchor Which is either empty … or … Which is either empty … or … Inductive step

Tree Traversal is Recursive ,[object Object],[object Object],Nyhoff, ADTs, Data Structures and Problem Solving with C++, Second Edition, © 2005 Pearson Education, Inc. All rights reserved. 0-13-140909-3 The "anchor" The inductive step

ADT Binary Search Tree (BST) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Nyhoff, ADTs, Data Structures and Problem Solving with C++, Second Edition, © 2005 Pearson Education, Inc. All rights reserved. 0-13-140909-3

ADT Binary Search Tree (BST) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Nyhoff, ADTs, Data Structures and Problem Solving with C++, Second Edition, © 2005 Pearson Education, Inc. All rights reserved. 0-13-140909-3

BST Searches ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Nyhoff, ADTs, Data Structures and Problem Solving with C++, Second Edition, © 2005 Pearson Education, Inc. All rights reserved. 0-13-140909-3

Inserting into a BST ,[object Object],[object Object],[object Object],[object Object],[object Object],Nyhoff, ADTs, Data Structures and Problem Solving with C++, Second Edition, © 2005 Pearson Education, Inc. All rights reserved. 0-13-140909-3 R

Recursive Deletion ,[object Object],Nyhoff, ADTs, Data Structures and Problem Solving with C++, Second Edition, © 2005 Pearson Education, Inc. All rights reserved. 0-13-140909-3 View remove() function Replace contents of x with inorder successor K Delete node pointed to by xSucc as described for cases 1 and 2

[object Object],[object Object],[object Object],Nyhoff, ADTs, Data Structures and Problem Solving with C++, Second Edition, © 2005 Pearson Education, Inc. All rights reserved. 0-13-140909-3 Processing time affected by "shape" of tree

Hash Tables ,[object Object],[object Object],[object Object],[object Object],[object Object],Nyhoff, ADTs, Data Structures and Problem Solving with C++, Second Edition, © 2005 Pearson Education, Inc. All rights reserved. 0-13-140909-3

Non Binary Trees ,[object Object],[object Object],[object Object],Nyhoff, ADTs, Data Structures and Problem Solving with C++, Second Edition, © 2005 Pearson Education, Inc. All rights reserved. 0-13-140909-3

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