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Post order traversal:
The children of node are visited before the node itself; the root is visited last. Each node is visited after its descendents are visited.
Algorithm for postorder traversal is following:
1. Traverse left sub-tree in post order
2. Traverse right sub-tree in post order
3. visit root node.
Determining the space occupied through files & directories in a file system need a postorder traversal as the space occupied through directory needs calculation of space needed by all files in the directory (children in tree structure)
Figure: Calculation of space occupied by a file system: A post order traversal
Since each of the nodes is traversed only once, the time complexity of post order traversal is T(n) = O(n), where n refer to number of nodes in the tree.
In this unit, we learned the data structure arrays from the application point of view and representation point of view. Two applications that are representation of a sparse matrix
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characteristics of a good algorithm
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Example: (Single rotation into AVL tree, while a new node is inserted into the AVL tree (LL Rotation)) Figure: LL Rotation The rectangles marked A, B & C are trees
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