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What is the chromatic number of the given graph? b d

What is the chromatic number of the given graph? b d

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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**Question:** What is the chromatic number of the given graph? **Graph Description:** The graph consists of seven vertices labeled as a, b, c, d, e, f, and g. The connections between the vertices are as follows: - Vertex a is connected to vertices b, f, and g. - Vertex b is connected to vertices a, c, and g. - Vertex c is connected to vertices b, d, and g. - Vertex d is connected to vertices c, e, and g. - Vertex e is connected to vertices d and f. - Vertex f is connected to vertices a and e. - Vertex g is connected to all surrounding vertices (a, b, c, d). This structure forms two triangles (a, b, g) and (c, d, g) with a quadrilateral (a, f, e, d) connected through g. **Chromatic Number:** The chromatic number is the smallest number of colors needed to color the vertices so that no two adjacent vertices share the same color. *[Provide your answer in the box below]* [ ]
Transcribed Image Text:**Question:** What is the chromatic number of the given graph? **Graph Description:** The graph consists of seven vertices labeled as a, b, c, d, e, f, and g. The connections between the vertices are as follows: - Vertex a is connected to vertices b, f, and g. - Vertex b is connected to vertices a, c, and g. - Vertex c is connected to vertices b, d, and g. - Vertex d is connected to vertices c, e, and g. - Vertex e is connected to vertices d and f. - Vertex f is connected to vertices a and e. - Vertex g is connected to all surrounding vertices (a, b, c, d). This structure forms two triangles (a, b, g) and (c, d, g) with a quadrilateral (a, f, e, d) connected through g. **Chromatic Number:** The chromatic number is the smallest number of colors needed to color the vertices so that no two adjacent vertices share the same color. *[Provide your answer in the box below]* [ ]
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