For the graph below, find an Euler circuit in the graph or explain why the graph does not have an Euler circuit.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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For the graph below, find an Euler circuit in the graph or explain why
the graph does not have an Euler circuit.  

O
d
e
a
g
Figure 10: An undirected graph has 7 vertices, a through g. 5 vertices
are in the form of a regular pentagon, rotated 90 degrees clockwise. Hence,
the top vertex becomes the rightmost verter. From the bottom left vertex,
moving clockwise, the vertices in the pentagon shape are labeled: a, b, c, e,
and f. Vertex d is above verter e, below and to the right of vertex c. Vertex
g is below verter e, above and to the right of vertex f. Undirected edges, line
segments, are between the following vertices: a and b; a and c; a and d; a
and f; b and f; b and c; b and e; c and d; c and g; d and e; d and f; and f
and g.
Transcribed Image Text:O d e a g Figure 10: An undirected graph has 7 vertices, a through g. 5 vertices are in the form of a regular pentagon, rotated 90 degrees clockwise. Hence, the top vertex becomes the rightmost verter. From the bottom left vertex, moving clockwise, the vertices in the pentagon shape are labeled: a, b, c, e, and f. Vertex d is above verter e, below and to the right of vertex c. Vertex g is below verter e, above and to the right of vertex f. Undirected edges, line segments, are between the following vertices: a and b; a and c; a and d; a and f; b and f; b and c; b and e; c and d; c and g; d and e; d and f; and f and g.
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