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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.
Thus far, we have been considering sorting depend on single keys. However, in real life applications, we may desire to sort the data on several keys. The simplest instance is that
Handout 15 COMP 264: Introduction to Computer Systems (Section 001) Spring 2013 R. I. Greenberg Computer Science Department Loyola University Water TowerCampus, Lewis Towers 524 82
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How many nodes in a tree have no ancestors 1 node in atree have no ancestors.
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