Question: DISCRETE MATH Problem 2 (5 points) The CS department has six committees, each meeting once a month. The committees are: Alumni Relations : Fischer, Solomon,

DISCRETE MATH

Problem 2 (5 points)

The CS department has six committees, each meeting once a month. The committees are:

  • Alumni Relations : Fischer, Solomon, Vernon
  • Curriculum : DeWitt, Goodman, Vernon
  • Facilities : Fischer, Meyer, Solomon
  • Graduate Admissions : DeWitt, Naughton, Vernon
  • Graduate Advising : Goodman, Solomon, Vernon
  • Undergraduate Advising : DeWitt, Meyer, Naughton

What is the minimum number of different meeting times needed to ensure that no member is scheduled to attend two meetings at the same time? Make sure to justify your answer. To receive full credit your answer must use graph coloring.

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