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28. Chromatic questions (ExH). Find the chromatic number for each graph below. (a) (b) (c) (d) Expanded Hint Remember that you want to find the smallest number of colors you need so that you can assign a color to each vertex in such a way that vertices joined by an edge get different colors. For graph (a), try a greedy approach. Pick a vertex and color it. Then go to that vertex's neighbors and color them a different color. Introduce a new color only if you need to. Reuse an old color whenever you can. How many colors have used when you're done? What about graph (b)? Does the same approach work? you

28. Chromatic questions (ExH). Find the chromatic number for each graph below. (a) (b) (c) (d) Expanded Hint Remember that you want to find the smallest number of colors you need so that you can assign a color to each vertex in such a way that vertices joined by an edge get different colors. For graph (a), try a greedy approach. Pick a vertex and color it. Then go to that vertex's neighbors and color them a different color. Introduce a new color only if you need to. Reuse an old color whenever you can. How many colors have used when you're done? What about graph (b)? Does the same approach work? you

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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28. Chromatic questions (ExH). Find the chromatic number for each graph below. (a) (b) (c) (d) Expanded Hint Remember that you want to find the smallest number of colors you need so that you can assign a color to each vertex in such a way that vertices joined by an edge get different colors. For graph (a), try a greedy approach. Pick a vertex and color it. Then go to that vertex's neighbors and color them a different color. Introduce a new color only if you need to. Reuse an old color whenever you can. How many colors have you used when you're done? What about graph (b)? Does the same approach work?
Transcribed Image Text:28. Chromatic questions (ExH). Find the chromatic number for each graph below. (a) (b) (c) (d) Expanded Hint Remember that you want to find the smallest number of colors you need so that you can assign a color to each vertex in such a way that vertices joined by an edge get different colors. For graph (a), try a greedy approach. Pick a vertex and color it. Then go to that vertex's neighbors and color them a different color. Introduce a new color only if you need to. Reuse an old color whenever you can. How many colors have you used when you're done? What about graph (b)? Does the same approach work?
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