Date: Aug 22, 2013 4:13 AM
Author: William Elliot
Subject: Re: A tree with exactly one infinite path

On Wed, 21 Aug 2013, Virgil wrote:

> Consider the binary tree in which every right child has a child and
> every left child is a terminal node.
>
> Then there is in it for each member of |N a left terminal node having
> that path length, and an infinite path of all right nodes to represent
> the set |N itself, having one node at each length in |N.


Creepy. An infinitely long centipede with only left legs.

Consider a trinary tree in which every middle child has a child
and every left and right child is a terminal node.