The diagram below shows a directed graph. b d a g f (a) What is the in-degree of vertex d? (b) What is the out-degree of vertex c? c) What is the head of edge (b, c)?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The diagram below shows a directed graph.
b
d
a
e
g
f
(a)
What is the in-degree of vertex d?
(b)
What is the out-degree of vertex c?
(c)
What is the head of edge (b, c)?
(d)
What is the tail of edge (g, f)?
(e)
List all the self-loops in the graph.
(f)
Is (a, g, f, c, d) a walk in the graph? Is it a trail? Is it a path?
(g)
Is (a, g, f, d, b) a walk in the graph? Is it a trail? Is it a path?
(h)
Is (c, g, f, e) a circuit in the graph? Is it a cycle?
Transcribed Image Text:The diagram below shows a directed graph. b d a e g f (a) What is the in-degree of vertex d? (b) What is the out-degree of vertex c? (c) What is the head of edge (b, c)? (d) What is the tail of edge (g, f)? (e) List all the self-loops in the graph. (f) Is (a, g, f, c, d) a walk in the graph? Is it a trail? Is it a path? (g) Is (a, g, f, d, b) a walk in the graph? Is it a trail? Is it a path? (h) Is (c, g, f, e) a circuit in the graph? Is it a cycle?
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