Eight political committees must meet on the same day, but some members are on more than one committee. Thus, any committees that have members in common cannot meet at the same time. An "X" in the following table indicates that the two corresponding committees share a member. Use graph coloring to determine the minimum number of meeting times that will be necessary so that all members can attend the appropriate meetings. a) Draw a graph modeling the table. b) What is the minimum number of meeting times that will be necessary so that all members can attend the appropriate meetings? c) From your coloring, create a schedule with the 1st column for time and 2nd column for the committee. A meeting runs for an hour. Appropriations Budget Finance Judiciary Education Health Foreign affairs Housing Appropriations X X Budget X X Finance X Judiciary X X Education Health X X Foreign affairs Housing X
Eight political committees must meet on the same day, but some members are on more than one committee. Thus, any committees that have members in common cannot meet at the same time. An "X" in the following table indicates that the two corresponding committees share a member. Use graph coloring to determine the minimum number of meeting times that will be necessary so that all members can attend the appropriate meetings. a) Draw a graph modeling the table. b) What is the minimum number of meeting times that will be necessary so that all members can attend the appropriate meetings? c) From your coloring, create a schedule with the 1st column for time and 2nd column for the committee. A meeting runs for an hour. Appropriations Budget Finance Judiciary Education Health Foreign affairs Housing Appropriations X X Budget X X Finance X Judiciary X X Education Health X X Foreign affairs Housing X
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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Transcribed Image Text:Eight political committees must meet on the same day, but some members are on more than one committee.
Thus, any committees that have members in common cannot meet at the same time. An “X" in the following
table indicates that the two corresponding committees share a member. Use graph coloring to determine the
minimum number of meeting times that will be necessary so that all members can attend the appropriate
meetings.
a) Draw a graph modeling the table.
b) What is the minimum number of meeting times that will be necessary so that all members can attend the
appropriate meetings?
c) From your coloring, create a schedule with the 1st column for time and 2nd column for the committee. A
meeting runs for an hour.
Appropriations
Budget
Finance
Judiciary
Education
Health
Foreign
Housing
affairs
Appropriations
X
X
X
Budget
X
Finance
X
Judiciary
X
Education
X
X
Health
X
X
|
Foreign affairs
X
|
Housing
X
X
X
| | ×
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