Given 6 people, assume that there are 15 lines connecting each possible pair. Assume that someone colors each line eithe

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Given 6 people, assume that there are 15 lines connecting eachpossible pair. Assume that someone colors each line either RED orGREEN.
Show:
Explain in your words:
What is Van Der Waerden Theorem
Why it is important

Given 6 People Assume That There Are 15 Lines Connecting Each Possible Pair Assume That Someone Colors Each Line Eithe 1 (58.88 KiB) Viewed 31 times

ilven 6 people, assume that there are 15 lines connecting each possible r. Assume that someone colors each line either RED or GREEN. Show: a. For each coloring, there always exists at least 1 monochromatic triangle b. For each coloring there always exists at least 2 monochromatic triangles c. Demonstrate a specific coloring for which there are exactly 2 monochromatic triangles each of different color. Can you characterize that case? d. Please watch the short video: https://wowxyoutube.com/watch\} 2=kF30 axlkUnU Explain in your words: What is Van Der Woerden Theorem Why it is important Explain the proof preseated that for 2 colors there will always be an arithmetic series with 3 terms