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Experience-First Math: Graceful Tree Conjecture

A cache by GoWhiteSox Send Message to Owner Message this owner
Hidden : 06/23/2015
Difficulty:
1.5 out of 5
Terrain:
1.5 out of 5

Size: Size: small (small)

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Geocache Description:


The Graceful Tree Conjecture is an open problem in mathematics. 

Imagine a series of points connected by line segments. This is called a "graph" or "tree." If the points, or vertices, are numbered, the segments can also be numbered by the difference in the numbers assigned to the points (eg, if one vertex is labeled 2 and another is labeled 5, the segment is assigned a value of 5-2 = 3). A tree is considered "graceful" if the vertices can be labeled with numbers (starting from 0), and the segments all end up with different values. A graceful tree is shown in the picture below. The Graceful Tree Conjecture simply states that ALL trees can be labeled gracefully! 

This is yet to be proven. 

Find this cache on the path from the Bavaria Hills neighborhood. Happy hunting!

Additional Hints (Decrypt)

Frr gur anzr. Ybbx sbe gur zbfg tenprshy gerr.

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)



 

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