Six student clubs need to hold meetings on the same day, but some students belong to more than one club. In order to avoid members missing meetings, the meetings need to be scheduled during different time slots. An “X” in the table. below indicates that the two corresponding clubs share at least one member. Use graph coloring to determine the minimum number of time slots necessary to ensure that all club members can attend all meetings.
Six student clubs need to hold meetings on the same day, but some students belong to more than one club. In order to avoid members missing meetings, the meetings need to be scheduled during different time slots. An “X” in the table. below indicates that the two corresponding clubs share at least one member. Use graph coloring to determine the minimum number of time slots necessary to ensure that all club members can attend all meetings.
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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Six student clubs need to hold meetings on the same day, but some students belong to more than one club. In order to avoid members missing meetings, the meetings need to be scheduled during different time slots. An “X” in the table. below indicates that the two corresponding clubs share at least one
member. Use graph coloring to determine the minimum number of time slots necessary to ensure that all club members can attend all meetings.
Transcribed Image Text:Student
Honor society
Biology
Gaming club
Debate team
Engineering club
newspaper
association
Student
X
X
newspaper
Honor Society
X
Biology
association
X
Gaming club
X
X
Debate team
Engineering club
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