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Monochromatic Triangle Problem


AMITAVA CHAKRAVARTY (AC)
1.0

Trusted App

About Monochromatic Triangle Problem

Monochromatic Triangle Problem

MONOCHROMATIC TRIANGLE PUZZLE !!!

Suppose 6 people are gathered together; then either 3 of them are mutually acquainted or 3 of them are mutually unacquainted.

Color an edge red if the people represented by its endpoints are acquainted, and green if they are not acquainted.

Any choice of 3 vertices defines a triangle; here, in this game we try to show that either there is a red triangle

or a green triangle.

That is there must exist either a RED or a GREEN MONOCHROMATIC TRIANGLE.

This game is a simple case of the famous Ramsey Theorem.

The number 6 in this example is special i.e. with 5 or fewer vertices it is not true that there must be a monochromatic triangle, and with more than 6 vertices it is true.

Vertices are numbered 0,1,2 etc.

First click on any vertex say v1 and then click on vertex v2, vertex v1 and v2 will be joined by a RED or GREEN line .

The game will be over when there will be a RED or GREEN monochromatic triangle.

This game is ABSOLUTELY FREE, has NO ADS or NO IN-APP PURCHASES.

In case of any logical bug or misinformation, please email me.

What's New in the Latest Version 1.0

Last updated on Dec 31, 2021
New release.

Additional Game Information

Latest Version

1.0

Uploaded by

Selvaraj Selvaraja

Requires Android

Android 2.2+

Available on

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