Binary Search Trees

Binary Search Trees

Lecture #9: Binary Trees and Binary Search Trees — Definitions and Searches

• Lecture Notes
• Questions for Review
  
  
• More About the Code for This Lecture
  
  
• Exceptions
  
  
  • ElementFoundException — Thrown on an attempt to add an existing element or key: [ Source ] [ Documentation ]
    
    
• Interfaces:
  
  
  • Set.java — Interface for a Finite Set: [ Source ] [ Documentation ]
  • OrderedSet.java — Interface for a Finite Ordered Set: [ Source ] [ Documentation ]
  • Mapping.java — Interface for a Finite Mapping: [ Source ] [ Documentation ]
  • Dictionary.java — Interface for a Finite Dictionary: [ Source ] [ Documentation ]

Lecture #10: Binary Trees and Binary Search Trees — Additional Operations

• Lecture Notes
• Questions for Review
• Additional Reading: Properties of Randomly Constructed Binary Search Trees
• Additional Reading: Implementing a ListIterator
  
  
• Java Code
  
  
  • BSTDictionary.java — BST-based Implementation of a Dictionary: [ Source ] [ Documentation ]
  • TestBSTDictionary.java — Tests for This Implementation: [ Source ]

Tutorial Exercise #10: Introduction to Binary Search Trees

• Problems To Be Solved
  
  
• Java Code
  
  
  • BSTOrderedSet.java — BST-based Implementation of a Finite Ordered Set (To Be Supplied): [ Documentation ]
  • TestBSTOrderedSet.java — Tests for This Implementation: [ Source ]

Tutorial Exercise #11: Additional Operations on Binary Search Trees

• Problems To Be Solved

Lecture #11: Red-Black Trees, Part One

• Lecture Notes
• Questions for Review

Lecture #12: Red-Black Trees, Part Two

• Lecture Notes
• Questions for Review

Tutorial Exercise #12: Red-Black Trees

• Problems To Be Solved

Tutorial Exercise #13: Augmenting Binary Search Trees and Red-Black Trees

• Problems To Be Solved

Assignment #2: Treaps and Randomized Binary Search Trees

• Problems To Be Solved
  
  
• ElementFoundException.java: An exception that is used by the program you will complete
• STreap.java: A program that does not provide anything now, but that will provide better testing when assignments are marked
• Treap.java: Program to be Completed
  
  
• Testing:
  
  
  • Instructions
  • RSeq.java: Compile this, and the “Treap.java” program, first
  • TreapUtilities.java: Compile this next. The remaining test programs can then be compiled and used.
  • TreapTest1.java
  • TreapTest2.java
  • TreapTest3.java
  • TreapTest4.java

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