Analyze each graph below to determine whether it has an Euler circuit and/or an Euler trail. • If it has an Euler circuit, specify the nodes for one. • If it does not have an Euler circuit, justify why it does not. • If it has an Euler trail, specify the nodes for one. If it does not have an Euler trail, justify why it does not.

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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PROBLEM 4
Analyze each graph below to determine whether it has an Euler circuit and/or an Euler trail.
• If it has an Euler circuit, specify the nodes for one.
• If it does not have an Euler circuit, justify why it does not.
• If it has an Euler trail, specify the nodes for one.
• If it does not have an Euler trail, justify why it does not.
d
a
f
(a)
Figure 6: An undirected graph has 6 vertices, a through f. There are 8-line segments that are
between the following vertices: a and b, a and e, a and d, a and f, b and c, b and e, b and f, d
and e.
Transcribed Image Text:PROBLEM 4 Analyze each graph below to determine whether it has an Euler circuit and/or an Euler trail. • If it has an Euler circuit, specify the nodes for one. • If it does not have an Euler circuit, justify why it does not. • If it has an Euler trail, specify the nodes for one. • If it does not have an Euler trail, justify why it does not. d a f (a) Figure 6: An undirected graph has 6 vertices, a through f. There are 8-line segments that are between the following vertices: a and b, a and e, a and d, a and f, b and c, b and e, b and f, d and e.
a
b
e
(c)
Figure 8:
that are between the following vertices: b and e, b and e, c and d, d and e.
An undirected graph has 5 vertices, a through e. There are 4-line segments
Transcribed Image Text:a b e (c) Figure 8: that are between the following vertices: b and e, b and e, c and d, d and e. An undirected graph has 5 vertices, a through e. There are 4-line segments
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