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Binary Tree

Description

University ADS2 (Binary Trees & Trees) Mind Map on Binary Tree, created by robertfield258 on 11/03/2014.
robertfield258
Mind Map by robertfield258, updated more than 1 year ago
robertfield258
Created by robertfield258 over 10 years ago
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Resource summary

Binary Tree
  1. Non-linear
    1. Data
      1. above
        1. below
          1. part of
          2. Natural
            1. File System
              1. GUI
                1. Database
                  1. Website
                    1. Inheritance
                      1. Java
                      2. Books
                        1. Chapters
                          1. Sections
                            1. Subsections
                          2. Relationships
                            1. Parent
                              1. Children
                                1. Siblings
                                  1. Ancestors
                                    1. Descendents
                                    2. Nodes
                                      1. Set
                                        1. One
                                          1. Parent
                                            1. Except
                                              1. Root
                                                1. None
                                          2. n
                                            1. Path
                                              1. Unique
                                                1. Root
                                              2. Depth
                                                1. Distance
                                                  1. Root
                                                2. Height
                                                  1. Leaf
                                                    1. Zero
                                                      1. Children
                                                        1. null
                                                      2. Maximimum
                                                        1. Child
                                                          1. height
                                                      3. Contains
                                                        1. Left
                                                          1. Right
                                                            1. Value
                                                              1. Either
                                                                1. Empty
                                                                  1. Node
                                                                    1. Binary Tree
                                                                      1. Recursive
                                                              2. Edges
                                                                1. n-1
                                                                2. no cycles
                                                                  1. Taversal
                                                                    1. Preorder
                                                                      1. Parent
                                                                        1. Child
                                                                        2. Parenthetic
                                                                          1. Representation
                                                                          2. O(n)
                                                                          3. Postorder
                                                                            1. Child
                                                                              1. Parent
                                                                              2. O(n)
                                                                                1. Use
                                                                                  1. Assemble
                                                                                    1. Parts
                                                                                  2. Euler
                                                                                    1. Walk
                                                                                  3. BFS
                                                                                    1. Depth
                                                                                      1. All
                                                                                        1. Before
                                                                                          1. Next
                                                                                      2. breadth
                                                                                        1. first
                                                                                          1. search
                                                                                        2. O(n)
                                                                                        3. Inorder
                                                                                          1. Left 1
                                                                                            1. Subtree
                                                                                              1. Bottom up
                                                                                            2. Right 3
                                                                                              1. Subtree
                                                                                                1. Bottom up
                                                                                              2. Root 2
                                                                                                1. Start
                                                                                                  1. Left
                                                                                                    1. Leaf
                                                                                              3. Forest
                                                                                                1. Multple
                                                                                                  1. Trees
                                                                                                2. Balance
                                                                                                  1. Shape
                                                                                                    1. Injective
                                                                                                      1. No
                                                                                                        1. Duplicate
                                                                                                          1. Values
                                                                                                        2. Set
                                                                                                      2. Expression
                                                                                                        1. Search Tree
                                                                                                          1. Elements
                                                                                                            1. Unique
                                                                                                              1. Node
                                                                                                                1. Left
                                                                                                                  1. Less Than
                                                                                                                  2. Right
                                                                                                                    1. Greater than
                                                                                                                2. Traversal
                                                                                                                  1. Inorder
                                                                                                                    1. Sorted
                                                                                                                  2. Time
                                                                                                                    1. Avereage
                                                                                                                      1. O(log n)
                                                                                                                    2. Insert x
                                                                                                                      1. Must
                                                                                                                        1. add
                                                                                                                          1. Leaf
                                                                                                                        2. Keep
                                                                                                                          1. Left
                                                                                                                            1. Less Than
                                                                                                                            2. Right
                                                                                                                              1. Greater than
                                                                                                                            3. If x > node
                                                                                                                              1. Go right
                                                                                                                                1. Else Go Left
                                                                                                                              2. Remove x
                                                                                                                                1. Find
                                                                                                                                  1. Smallest
                                                                                                                                    1. Right
                                                                                                                                      1. Subtree
                                                                                                                                  2. Swap
                                                                                                                                    1. Smallest
                                                                                                                                      1. Right
                                                                                                                                        1. x
                                                                                                                                    2. Move
                                                                                                                                      1. Right
                                                                                                                                        1. Smallest
                                                                                                                                          1. Left
                                                                                                                                            1. Parent
                                                                                                                                              1. Smallest
                                                                                                                                    3. Node
                                                                                                                                      1. Internal
                                                                                                                                        1. Two
                                                                                                                                          1. Children

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