researcher has discovered six new species of insects overseas and needs to transport them home. Some species will harm each other and so cannot be transported in the same container. Species A cannot be housed with species C or F. Species B cannot be housed with species D or F. Species C cannot be housed with species A, D, or E. Species D cannot be housed with species B, C, or F. Species E cannot be housed with species C or F. Species F cannot be housed with species A, B, D, or E.   Use graph coloring to determine the minimum number of containers the researcher will need to transport the

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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A researcher has discovered six new species of insects overseas and needs to transport them home. Some species will harm each other and so cannot be transported in the same container.

Species A cannot be housed with species C or F.

Species B cannot be housed with species D or F.

Species C cannot be housed with species A, D, or E.

Species D cannot be housed with species B, C, or F.

Species E cannot be housed with species C or F.

Species F cannot be housed with species A, B, D, or E.
 
Use graph coloring to determine the minimum number of containers the researcher will need to transport the insects
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