**Problem 5:** Consider a Network modeled as the following *Graph*, and then answer the following Questions. The graph provided is a network of cities represented by nodes, with distances between them represented by edges. The cities are: - San Francisco - Los Angeles - Denver - Dallas - Chicago - Boston - New York Edges between these cities with distances (in miles) are as follows: - San Francisco to Denver: 957 - San Francisco to Chicago: 1855 - Los Angeles to Denver: 1736 - Los Angeles to Dallas: 1235 - Denver to Chicago: 908 - Denver to Dallas: 645 - Chicago to Boston: 860 - Chicago to Dallas: 798 - Chicago to New York: 722 - Boston to New York: 191 - New York to Dallas: 1372 **Problem 5(A):** Specify an *Adjacency List* to represent the Graph model, then specify an *Adjacency Matrix* to represent the Graph model. Which representation is more appropriate to model the given network in terms of computational complexities? **Problem 5(B):** What are the *degrees of vertices* in the Graph? **Problem 5(C):** Is this Graph *bipartite*? Please verify your answer. **Problem 5(D):** Does the Graph have an *Euler Circuit* or if not, an *Euler path*? **Problem 5(E):** Does the Graph have a *Hamilton Circuit* or if not, a *Hamilton path*?
**Problem 5:** Consider a Network modeled as the following *Graph*, and then answer the following Questions. The graph provided is a network of cities represented by nodes, with distances between them represented by edges. The cities are: - San Francisco - Los Angeles - Denver - Dallas - Chicago - Boston - New York Edges between these cities with distances (in miles) are as follows: - San Francisco to Denver: 957 - San Francisco to Chicago: 1855 - Los Angeles to Denver: 1736 - Los Angeles to Dallas: 1235 - Denver to Chicago: 908 - Denver to Dallas: 645 - Chicago to Boston: 860 - Chicago to Dallas: 798 - Chicago to New York: 722 - Boston to New York: 191 - New York to Dallas: 1372 **Problem 5(A):** Specify an *Adjacency List* to represent the Graph model, then specify an *Adjacency Matrix* to represent the Graph model. Which representation is more appropriate to model the given network in terms of computational complexities? **Problem 5(B):** What are the *degrees of vertices* in the Graph? **Problem 5(C):** Is this Graph *bipartite*? Please verify your answer. **Problem 5(D):** Does the Graph have an *Euler Circuit* or if not, an *Euler path*? **Problem 5(E):** Does the Graph have a *Hamilton Circuit* or if not, a *Hamilton path*?
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Transcribed Image Text:**Problem 5:** Consider a Network modeled as the following *Graph*, and then answer the following Questions.
The graph provided is a network of cities represented by nodes, with distances between them represented by edges. The cities are:
- San Francisco
- Los Angeles
- Denver
- Dallas
- Chicago
- Boston
- New York
Edges between these cities with distances (in miles) are as follows:
- San Francisco to Denver: 957
- San Francisco to Chicago: 1855
- Los Angeles to Denver: 1736
- Los Angeles to Dallas: 1235
- Denver to Chicago: 908
- Denver to Dallas: 645
- Chicago to Boston: 860
- Chicago to Dallas: 798
- Chicago to New York: 722
- Boston to New York: 191
- New York to Dallas: 1372
**Problem 5(A):** Specify an *Adjacency List* to represent the Graph model, then specify an *Adjacency Matrix* to represent the Graph model. Which representation is more appropriate to model the given network in terms of computational complexities?
**Problem 5(B):** What are the *degrees of vertices* in the Graph?
**Problem 5(C):** Is this Graph *bipartite*? Please verify your answer.
**Problem 5(D):** Does the Graph have an *Euler Circuit* or if not, an *Euler path*?
**Problem 5(E):** Does the Graph have a *Hamilton Circuit* or if not, a *Hamilton path*?
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