Date: Feb 26, 2013 12:17 PM
Author: Hauke Reddmann
Subject: A topological problem
Warning, incoming lousy ASCII, change to fixed font :-)

o o o

| | |

| O |

\ /|\ /

X | X

/ \|/ \

| O |

| | |

o o o

The lines |/\ are tied to the unmovable nodes Oo.

(As you see, four lines come out of O and one out of o.)

X denotes a crossing, which is like a virtual crossing

from knot theory, i.e. you can move it ad lib and any

line over any other. Should they cross in the process,

well duh, then you have more crossings.)

Can you move the lines around such that no horizontal

line going through this graph cuts more than three

of these lines? I think no, but can you lend me a

formal proof?

--

Hauke Reddmann <:-EX8 fc3a501@uni-hamburg.de

Die Weltformel: IQ+dB=const.