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Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For the graph below, find an Euler trail in the graph or explain why the
graph does not have an Euler trail.     

**Figure 12:** An undirected graph has 6 vertices, a through f. Five vertices are in the form of a regular pentagon, rotated 90 degrees clockwise. Hence, the top vertex becomes the rightmost vertex. 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 vertex e, below and to the right of vertex c. Undirected edges, line segments, are between the following vertices: a and b; b and c; c and d; a and d; a and f; b and f; b and c; b and e; c and d; d and e; d and f. Edges c, f, a, d, and b e intersect at the same point.
Transcribed Image Text:**Figure 12:** An undirected graph has 6 vertices, a through f. Five vertices are in the form of a regular pentagon, rotated 90 degrees clockwise. Hence, the top vertex becomes the rightmost vertex. 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 vertex e, below and to the right of vertex c. Undirected edges, line segments, are between the following vertices: a and b; b and c; c and d; a and d; a and f; b and f; b and c; b and e; c and d; d and e; d and f. Edges c, f, a, d, and b e intersect at the same point.
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