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Problem 1: Trees Consider the tree above: [a] What kind of tree is it? 1 [i] What is its postorder traversal? [j] What is its inorder traversal? 3 4 6 8 (10) 7 (13) (14) [b] How many vertices does it have? [c] How many edges does it have? [d] What are its leaves? [e] What is its height? [f] Is it height-balanced? Why or why not? [g] Is it complete (in the sense of complete tree, not complete graph)? Why or why not? [h] What is its preorder traversal?

Problem 1: Trees Consider the tree above: [a] What kind of tree is it? 1 [i] What is its postorder traversal? [j] What is its inorder traversal? 3 4 6 8 (10) 7 (13) (14) [b] How many vertices does it have? [c] How many edges does it have? [d] What are its leaves? [e] What is its height? [f] Is it height-balanced? Why or why not? [g] Is it complete (in the sense of complete tree, not complete graph)? Why or why not? [h] What is its preorder traversal?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 1: Trees Consider the tree above: [a] What kind of tree is it? [b] How many vertices does it have? [c] How many edges does it have? [d] What are its leaves? [e] What is its height? 1 3 4 8 (10) 7 (13) (14) [f] Is it height-balanced? Why or why not? [g] Is it complete (in the sense of complete tree, not complete graph)? Why or why not? [h] What is its preorder traversal? [i] What is its postorder traversal? [j] What is its inorder traversal?
Transcribed Image Text:Problem 1: Trees Consider the tree above: [a] What kind of tree is it? [b] How many vertices does it have? [c] How many edges does it have? [d] What are its leaves? [e] What is its height? 1 3 4 8 (10) 7 (13) (14) [f] Is it height-balanced? Why or why not? [g] Is it complete (in the sense of complete tree, not complete graph)? Why or why not? [h] What is its preorder traversal? [i] What is its postorder traversal? [j] What is its inorder traversal?
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