Imagine that the final exams for five courses need to be sched- uled, and only two time slots are available. There are plenty of classrooms, but no student can take two exams simultaneously. The classlists for the five course are • Classlist for course 1: c1 = {Akiko,Erin,Sandy} {Carl, Dan, Wilma} • Classlist for course 2: c2 = • Classlist for course 3: c3 = {Akiko,Bart,Terry} • Classlist for course 4: c4 = {Erin, Dan, Val} • Classlist for course 5: c5 ={Carl, Bart,José}

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question
(a) Draw the intersection graph for the classlists.
(b) What is the chromatic number of this graph? Briefly justify your
answer.
(c) Is there an exam schedule that meets the requirements? Briefly jus-
tify your answer.
(d) Now suppose Dan decides to drop course 4. How do your answers
change?
Transcribed Image Text:(a) Draw the intersection graph for the classlists. (b) What is the chromatic number of this graph? Briefly justify your answer. (c) Is there an exam schedule that meets the requirements? Briefly jus- tify your answer. (d) Now suppose Dan decides to drop course 4. How do your answers change?
Imagine that the final exams for five courses need to be sched-
uled, and only two time slots are available. There are plenty of classrooms,
but no student can take two exams simultaneously. The classlists for the
five course are
• Classlist for course 1: ci
{Akiko,Erin,Sandy}
• Classlist for course 2: c2
{Carl, Dan, Wilma}
• Classlist for course 3: c3
{Akiko,Bart,Terry}
• Classlist for course 4: C4
{Erin, Dan, Val}
• Classlist for course 5: c5
{Carl, Bart,José}
Transcribed Image Text:Imagine that the final exams for five courses need to be sched- uled, and only two time slots are available. There are plenty of classrooms, but no student can take two exams simultaneously. The classlists for the five course are • Classlist for course 1: ci {Akiko,Erin,Sandy} • Classlist for course 2: c2 {Carl, Dan, Wilma} • Classlist for course 3: c3 {Akiko,Bart,Terry} • Classlist for course 4: C4 {Erin, Dan, Val} • Classlist for course 5: c5 {Carl, Bart,José}
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