<

## Experience-First Math: Graceful Tree Conjecture

A cache by GoWhiteSox Message this owner
Hidden : 06/23/2015
Difficulty:
Terrain:

Size:  (small)

#### Watch

How Geocaching Works

Please note Use of geocaching.com services is subject to the terms and conditions in our disclaimer.

### 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!

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)

Find...

### 23 Logged Visits

19      2      1      1

**Warning! Spoilers may be included in the descriptions or links.