Question 16 15. Using as few groups as possible, put the words fish, sit, stay, play, diet, tree, duck, dog, and heninto groups such that none of the words in a group have any letters in common. Use a graph model and graphcoloring. Justify your answer: explain why your grouping uses the fewest groups possible.16. Give an example of a graph that requires five colors to make a valid coloring. (Note that, by the Four ColorTheorem, your example cannot be planar.)17. Compute the minimal number of colors needed to color the following graph. Show that your answer is bigenough (by describing a coloring), and explain why the graph cannot be colored in fewer colors.

Answered: Image /qna-images/answer/853a06ab-1ffb-438e-8973-5cd26e39c793.jpg

Answered: 16. Give an example of a graph that…

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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16. Give an example of a graph that requires five colors to make a valid coloring. (Note that, by the Four Color Theorem, your example cannot be planar.)