Consider the following graph. • V(G) = {v1, v2, v3, v4}, e(G) = {e1, e2, e3, e4, e5}, E(G) = {(e1, [v1, v2]), (e2, [v1, v2]), (e3, [v2, v3]), (e4, [v3, v4]), (e5, [v3, v4])} Draw a picture of the graph on scratch paper to help you answer the following three questions. 1. What is the degree of the graph G? 2. How many simple circuits can be identified in graph G? 3. How many walks of length 2 are there from v2 to v4?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following graph.
• V(G) = {v1, v2, v3, v4},
e(G) = {e1, e2, e3, e4, e5},
• E(G) = {(e1, [v1, v2]), (e2, [v1, v2]), (e3, [v2, v3]), (e4, [v3, v4]), (e5, [v3, v4])}
Draw a picture of the graph on scratch paper to help you answer the following three questions.
1. What is the degree of the graph G?
2. How many simple circuits can be identified in graph G?
3. How many walks of length 2 are there from v2 to v4?
Transcribed Image Text:Consider the following graph. • V(G) = {v1, v2, v3, v4}, e(G) = {e1, e2, e3, e4, e5}, • E(G) = {(e1, [v1, v2]), (e2, [v1, v2]), (e3, [v2, v3]), (e4, [v3, v4]), (e5, [v3, v4])} Draw a picture of the graph on scratch paper to help you answer the following three questions. 1. What is the degree of the graph G? 2. How many simple circuits can be identified in graph G? 3. How many walks of length 2 are there from v2 to v4?
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