7. Several of your colleagues do not get along with each other including yourself as summarized below. Your boss plans to organize several gatherings so that colleagues who do not get along are not there at the same time. Use graph coloring to determine the least number of gatherings needed, and which colleagues should be invited each time. Specify the chromatic number of the graph and do the checking like I showed in the lecture • Beth does not get along with Cathy. • Cathy does not get along with Debby. • You do not get along with Amir and Cathy • Amir does not get along with Debby, Beth, and Cathy.

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Author:Erwin Kreyszig
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7. Several of your colleagues do not get along with each other including yourself
as summarized below. Your boss plans to organize several gatherings so that
colleagues who do not get along are not there at the same time.
Use graph coloring to determine the least number of gatherings needed, and
which colleagues should be invited each time. Specify the chromatic number of
the graph and do the checking like I showed in the lecture
• Beth does not get along with Cathy.
• Cathy does not get along with Debby.
• You do not get along with Amir and Cathy
Amir does not get along with Debby, Beth, and Cathy.
Transcribed Image Text:7. Several of your colleagues do not get along with each other including yourself as summarized below. Your boss plans to organize several gatherings so that colleagues who do not get along are not there at the same time. Use graph coloring to determine the least number of gatherings needed, and which colleagues should be invited each time. Specify the chromatic number of the graph and do the checking like I showed in the lecture • Beth does not get along with Cathy. • Cathy does not get along with Debby. • You do not get along with Amir and Cathy Amir does not get along with Debby, Beth, and Cathy.
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