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Topic: A tree with exactly one infinite path
Replies: 8   Last Post: Aug 24, 2013 12:24 PM

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William Elliot

Posts: 2,637
Registered: 1/8/12
Re: A tree with exactly one infinite path
Posted: Aug 22, 2013 4:13 AM
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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.

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