EBK DATA STRUCTURES AND ALGORITHMS IN C
4th Edition
ISBN: 9781285415017
Author: DROZDEK
Publisher: YUZU
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Kruskal's Algorithm:
Kruskal's algorithm is a minimum-spanning-tree algorithm which finds an edge of the least possible weight that connects any two trees in the forest. This algorithm is a Greedy Algorithm.
The steps to find a MST using this algorithm are as follows:
Sort all the edges in non-decreasing order of their weight.
Pick the smallest edge. Check if it forms a cycle with the spanning tree formed so far. If cycle is not formed, include this edge. Else, discard it.
Repeat step2 until there are (V-1) edges in the spanning tree.
Example with 10 vertices and 20 weighted edges:
. In a B+-tree, there can be at most 4 search-key values in each node. Assume that the height of the B+-tree is 2. The height of the tree is the length of the path from the root to a leaf node.
Let N1 be a node in the tree. N1 is neither a leaf nor the root. What is the minimum number of children that N1 can have?
Given a binary tree, let an H-node be defined as a non-leaf node in the tree whose value is greater than or equal to its children nodes (1 or 2 children).
Write a function, countHNodes(), that returns the number of H-nodes in a binary tree (pointed by p) using recursion.
Chapter 7 Solutions
EBK DATA STRUCTURES AND ALGORITHMS IN C
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- Tl and T2 are two very large binary trees, with Tl much bigger than T2. Create an algorithm to determine if T2 is a subtree of Tl.A tree T2 is a subtree of Tl if there exists a node n in Tl such that the subtree of n is identical to T2. That is, if you cut off the tree at node n, the two trees would be identical.arrow_forwardGiven the following tree, what is the degree of the tree? A E G H. K L M B.arrow_forwardDraw separate trees with 8 nodes that are either: balanced; binary tree; neither of these. As per the tree, write a pseudo code in python to carry out a breadth first search the binary tree. Explain the answer brieflyarrow_forward
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