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Question: a) Define a rooted tree and the root of such a tree.
b) Define the parent of a vertex and a child of a vertex in a rooted tree.
c) What are an internal vertex, a leaf, and a sub tree in a rooted tree?
d) Draw a rooted tree with at least 10 vertices, where the degree of each vertex does not exceed 3. Identify the root, the parent of each vertex, the children of each vertex, the internal vertices, and the leaves.
in the present scenario of global warming the computer hard ware and software are also contributing for the increase in
Loop through all of the above steps until the user types the sentinel value when prompted. Display the sentinel value so that the user may ultimately be able to demonstrate an understanding of the way in which to end the program.
Count the amount of words in the file. A word can end with a --- space, EOLN character or a punctuation mark (which will be part of the word).
Explain an O(m+n) algorithm which, given an initial infection of a computer Ca at time t determines for each other computer the earliest time at which it can become infected.
Determine the sequence of pairwise matrix multiplication to use. Show the steps of the algorithm - Bellman-Ford algorithm on this graph. Show the steps of the algorithm.
1. add 12ten to 15ten in binary and then subtract 12ten from 15ten in binary.2. using 4-bit numbers to save space
Assume you have been assigned to build a network for a multimedia development company that currently uses a 10-Mbps Ethernet network. The corporation requires a high bandwidth network for multimedia team.
Give an efficient algorithm for computing single-source shortest paths in an undirected graph G for which edge weights are 1 or 2. Describe all data structures needed to support your algorithm. What is the runtime of your algorithm?
This program will find the numberofstudentsin a computer algorithm course.The program will ask user to 6 integers. The design step will use both flowchart and pseudocode for better understanding.
Give an algorithm that takes an n-node path G with weightsand returns an independent set of maximum total weight. The runningtime should be polynomial in n, independent of the values of theweights
Give the adjacency matrix representation of the graph in Figure. Find the shortest path between node A and all other nodes in the graph in Figure. Find the minimum spanning tree of the graph in Figure.
Write a Java program that uses a stack to test whether an input string is a palindrome. Defines "palindrome" and asks you to describe a solution to this problem. As you can see, you will need to read to find the meaning of palindrome.
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