3. Consider the following graph G. A B F E a) Is this graph connected? If not, how many connected components are there in G? b) What is the degree of vertex B? c) What is the degree of vertex C? | d) Which edges are incident on vertex E? [name the colors or write as a pair of vertices (yI e) Evaluate the following preposition where m is the number of edges. >, deg(v) = 2m v in G

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter18: Deterministic Dynamic Programming
Section18.4: Resource-allocation Problems
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Hello, I'm doing Some exercises of Advanced-Data Structure and my professor is not the best at explaining how to solve exercises, can you tell me which are the answers? of this?

3. Consider the following graph G.
A
B
F
E
a) Is this graph connected? If not, how many connected components are there in G?
b) What is the degree of vertex B?
c) What is the degree of vertex C?
d) Which edges are incident on vertex E? [name the colors or write as a pair of vertices (y)I
e) Evaluate the following preposition where m is the number of edges.
> deg(v) = 2m
v in G
Transcribed Image Text:3. Consider the following graph G. A B F E a) Is this graph connected? If not, how many connected components are there in G? b) What is the degree of vertex B? c) What is the degree of vertex C? d) Which edges are incident on vertex E? [name the colors or write as a pair of vertices (y)I e) Evaluate the following preposition where m is the number of edges. > deg(v) = 2m v in G
1. As we know, the time complexity of the DFS traversal on a graph with n vertices and m edges that is
represented with the adjacency list structure is O(n + m). Calculate the time complexity in the case of a
graph represented with adjacency matrix structure. Demonstrate the steps in your calculation.
Transcribed Image Text:1. As we know, the time complexity of the DFS traversal on a graph with n vertices and m edges that is represented with the adjacency list structure is O(n + m). Calculate the time complexity in the case of a graph represented with adjacency matrix structure. Demonstrate the steps in your calculation.
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