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Trees Chapter 5 Nyhoff, ADTs, Data Structures and Problem Solving with C++, Second Edition, © 2005 Pearson Education, Inc. All rights reserved. 0-13-140909-3
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
Binary Search Tree ,[object Object],Nyhoff, ADTs, Data Structures and Problem Solving with C++, Second Edition, © 2005 Pearson Education, Inc. All rights reserved. 0-13-140909-3
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
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
Array Representation of Binary 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
Array Representation of Binary 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
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
Linked  Representation of Binary 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
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],[object Object],Nyhoff, ADTs, Data Structures and Problem Solving with C++, Second Edition, © 2005 Pearson Education, Inc. All rights reserved. 0-13-140909-3
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
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
BST Class Template ,[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
[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
[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
[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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