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A high school math department offers a total of 5 classes: MTH01, MTH02, MTH03, MTH04, and MTH05. However, the following courses cannot be taught at the same time due to staffing limits: • MTH01 conflicts with MTH02, MTH05 • MTH02 conflicts with MTH01, MTH03 • MTH03 conflicts with MTH02, MTH04 • MTH04 conflicts with MTH03, MTH05 • MTH05 conflicts with MTH01, MTH04 We want to know the minimum number of time slots needed to teach these classes. What information about the graph would answer this question? number of vertices number of edges chromatic index O chromatic number

A high school math department offers a total of 5 classes: MTH01, MTH02, MTH03, MTH04, and MTH05. However, the following courses cannot be taught at the same time due to staffing limits: • MTH01 conflicts with MTH02, MTH05 • MTH02 conflicts with MTH01, MTH03 • MTH03 conflicts with MTH02, MTH04 • MTH04 conflicts with MTH03, MTH05 • MTH05 conflicts with MTH01, MTH04 We want to know the minimum number of time slots needed to teach these classes. What information about the graph would answer this question? number of vertices number of edges chromatic index O chromatic number

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A high school math department offers a total of 5 classes: MTH01, MTH02, MTH03, MTH04, and MTH05. However, the following courses cannot be taught at the same time due to staffing limits: • MTH01 conflicts with MTH02, MTH05 • MTH02 conflicts with MTH01, MTH03 • MTH03 conflicts with MTH02, MTH04 • MTH04 conflicts with MTH03, MTH05 • MTH05 conflicts with MTH01, MTH04 We want to know the minimum number of time slots needed to teach these classes. What information about the graph would answer this question? number of vertices number of edges chromatic index chromatic number
Transcribed Image Text:A high school math department offers a total of 5 classes: MTH01, MTH02, MTH03, MTH04, and MTH05. However, the following courses cannot be taught at the same time due to staffing limits: • MTH01 conflicts with MTH02, MTH05 • MTH02 conflicts with MTH01, MTH03 • MTH03 conflicts with MTH02, MTH04 • MTH04 conflicts with MTH03, MTH05 • MTH05 conflicts with MTH01, MTH04 We want to know the minimum number of time slots needed to teach these classes. What information about the graph would answer this question? number of vertices number of edges chromatic index chromatic number
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