12. A department wants to schedule final exams so that no student has more than one exam on any given day. The vertices of the graph below show the courses that are being taken by more than one student, with an edge connecting two vertices if there is a student in both courses. Find a way to colo the vertices of the graph with only four colors so that no two adjacent vertices have the same color and explain how to use the result to schedule the final exams. MCS101 MCS102 MCS100 MCS110 MCS135 MCS120 MCS130

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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12. A department wants to schedule final exams so that no student has more
than one exam on any given day. The vertices of the graph below show the
courses that are being taken by more than one student, with an edge
connecting two vertices if there is a student in both courses. Find a way to color
the vertices of the graph with only four colors so that no two adjacent vertices
have the same color and explain how to use the result to schedule the final
exams.
MCS101
MCS102
MCS100
MCS110
MCS135
MCS120
MCS130
Transcribed Image Text:12. A department wants to schedule final exams so that no student has more than one exam on any given day. The vertices of the graph below show the courses that are being taken by more than one student, with an edge connecting two vertices if there is a student in both courses. Find a way to color the vertices of the graph with only four colors so that no two adjacent vertices have the same color and explain how to use the result to schedule the final exams. MCS101 MCS102 MCS100 MCS110 MCS135 MCS120 MCS130
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