Solve the following problem: A school has six irregular graduating

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Solve the following problem:
A school has six irregular graduating seniors: Alan, Benjie, Corinne, Dennis,
Eugene, and Ferdie.
You must prepare a special final exam schedule for these students.
Note: Students can take only one exam each day.
Given below are the names of the students and the subjects that each is
currently taking up:
Alan: English, Science, Politics
Benjie: Science, Politics, Philosophy
Corinne: Math, Philosophy, Art
Dennis: English, French, Art
Eugene: Politics, Art, Philosophy
Ferdie: Math, Science, Music
Draw a planar graph representing this problem. Using vertex coloring, find the
fewest number of days required to schedule all exams. Suggest one possible
schedule.
Transcribed Image Text:Solve the following problem: A school has six irregular graduating seniors: Alan, Benjie, Corinne, Dennis, Eugene, and Ferdie. You must prepare a special final exam schedule for these students. Note: Students can take only one exam each day. Given below are the names of the students and the subjects that each is currently taking up: Alan: English, Science, Politics Benjie: Science, Politics, Philosophy Corinne: Math, Philosophy, Art Dennis: English, French, Art Eugene: Politics, Art, Philosophy Ferdie: Math, Science, Music Draw a planar graph representing this problem. Using vertex coloring, find the fewest number of days required to schedule all exams. Suggest one possible schedule.
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