18. Westward Ho! Here's a map of some states in the western U.S. Describe how you would create a graph model of this map in which each vertex represents a state, then draw it. The Four Color Theorem asserts that it is possible to color the states in this map using at most four colors such that states sharing a bound- ary get different colors. Is it possible to accomplish this coloring with fewer than four colors? If so, describe such a coloring. If not, explain why not. OREGON IDAHO NEVADA UTAH CALIFORNIA ARIZONA

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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18. Westward Ho! Here's a map of some states in the western U.S. Describe how
you would create a graph model of this map in which each vertex represents a
state, then draw it. The Four Color Theorem asserts that it is possible to color
the states in this map using at most four colors such that states sharing a bound-
ary get different colors. Is it possible to accomplish this coloring with fewer
than four colors? If so, describe such a coloring. If not, explain why not.
OREGON
IDAHO
NEVADA
UTAH
CALIFORNIA
ARIZONA
Transcribed Image Text:18. Westward Ho! Here's a map of some states in the western U.S. Describe how you would create a graph model of this map in which each vertex represents a state, then draw it. The Four Color Theorem asserts that it is possible to color the states in this map using at most four colors such that states sharing a bound- ary get different colors. Is it possible to accomplish this coloring with fewer than four colors? If so, describe such a coloring. If not, explain why not. OREGON IDAHO NEVADA UTAH CALIFORNIA ARIZONA
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