For each graph below, find an Euler circuit in the graph or explain why the graph does not have an Euler circuit. Figure 9: An undirected graph has 6 vertices, a through f. 5 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: b and c; b and a; b and f; b and e; a and c; a and d; a and f; c and d; c and f; d and e; and d and f.
For each graph below, find an Euler circuit in the graph or explain why the graph does not have an Euler circuit. Figure 9: An undirected graph has 6 vertices, a through f. 5 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: b and c; b and a; b and f; b and e; a and c; a and d; a and f; c and d; c and f; d and e; and d and f.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 11E
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For each graph below, find an Euler circuit in the graph or explain why the graph does not have an Euler circuit.
Figure 9: An undirected graph has 6 vertices, a through f. 5 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: b and c; b and a; b and f; b and e; a and c; a and d; a and f; c and d; c and f; d and e; and d and f.
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