Given the following directed graph G: a. What is the in-degree of vertex 6? b. What is the out-degree of vertex 4? 3 c. Find a walk of length 5 from vertex 5 to vertex 3. d. Find a path of length 6 from vertex 1 to vertex 2. e. Find a circuit of length 7 starting at vertex 3. 5 f. Find a cycle of length 5 starting at vertex 4. g. Is there an edge from vertex 4 to vertex 5 in G? Why? (6 h. Is there an edge from vertex 4 to vertex 2 in G5? Why?

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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4.
Given the following directed graph G:
a. What is the in-degree of vertex 6?
2
b. What is the out-degree of vertex 4?
3
c. Find a walk of length 5 from vertex 5 to vertex 3.
d. Find a path of length 6 from vertex 1 to vertex 2.
4
e. Find a circuit of length 7 starting at vertex 3.
5
7
f. Find a cycle of length 5 starting at vertex 4.
g. Is there an edge from vertex 4 to vertex 5 in G2? Why?
6
h. Is there an edge from vertex 4 to vertex 2 in G5? Why?
Transcribed Image Text:4. Given the following directed graph G: a. What is the in-degree of vertex 6? 2 b. What is the out-degree of vertex 4? 3 c. Find a walk of length 5 from vertex 5 to vertex 3. d. Find a path of length 6 from vertex 1 to vertex 2. 4 e. Find a circuit of length 7 starting at vertex 3. 5 7 f. Find a cycle of length 5 starting at vertex 4. g. Is there an edge from vertex 4 to vertex 5 in G2? Why? 6 h. Is there an edge from vertex 4 to vertex 2 in G5? Why?
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