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 all the exams in one day but students with common subject cannot be scheduled on the same day. Given below are the names of the students and the subjects that each is currently taking up: Alan: English, Science, Politics Dennis: English, French, Art Benjie: Science, Politics, Philosophy Eugene: Politics, Art, Philosophy Corinne: Math, Philosophy, Art Ferdie: Math, Science, Music Draw a graph representing this problem. Using vertex coloring, find the fewest number of days required to schedule all exams. Suggest one possible schedule.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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2. 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 all the exams in one day but students with common subject cannot be scheduled
on the same day. Given below are the names of the students and the subjects that each is currently taking
up:
Alan: English, Science, Politics
Dennis: English, French, Art
Benjie: Science, Politics, Philosophy
Eugene: Politics, Art, Philosophy
Corinne: Math, Philosophy, Art
Ferdie: Math, Science, Music
Draw a 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:2. 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 all the exams in one day but students with common subject cannot be scheduled on the same day. Given below are the names of the students and the subjects that each is currently taking up: Alan: English, Science, Politics Dennis: English, French, Art Benjie: Science, Politics, Philosophy Eugene: Politics, Art, Philosophy Corinne: Math, Philosophy, Art Ferdie: Math, Science, Music Draw a 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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