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Given 6 people, assume that there are 15 lines connecting each possible pair. Assume that someone colors each line either RED or GREEN. Show: For
Given 6 people, assume that there are 15 lines connecting each possible pair. Assume that someone colors each line either RED or GREEN.
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- For each coloring, there always exists at least 1 monochromatic triangle
- For each coloring, there always exists at least 2 monochromatic triangles
- Demonstrate a specific coloring for which there are exactly 2 monochromatic triangles each of different color. Can you characterize that case?
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Calculus Early Transcendentals Early Transcendentals
Authors: Dennis G Zill, Warren S Wright
4th Edition
0763797375, 9780763797379
