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Re: on an n-element heap and its nodes of height h

From Richard Heathfield <rjh@cpax.org.uk>
Newsgroups comp.programming
Subject Re: on an n-element heap and its nodes of height h
Date 2016-04-19 02:05 +0100
Organization A noiseless patient Spider
Message-ID <nf401j$4h9$1@dont-email.me> (permalink)
References <86h9ez2l43.fsf@toledo.com> <nf2o0k$gcv$1@dont-email.me> <864may3mcl.fsf@toledo.com> <nf3grm$ikg$1@dont-email.me> <87y48aju20.fsf@bsb.me.uk>

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On 19/04/16 01:55, Ben Bacarisse wrote:
> Richard Heathfield <rjh@cpax.org.uk> writes:
>
<snip>
>
>> Let's show it for h = 4:
>>
>> 1:...........*...........
>> 2:.....*...........*.....
>> 3:..*.....*.....*.....*..
>> 4:.*.*...*.*...*.*...*.*.
>>
>> At level 4, we have 8 = 2^(4-1) nodes, not 16 = 2^4 nodes.
>
> Most people would call that a tree of height 3.  I've never seen your
> counting used for tree height, but I have led a sheltered life.

One can envisage nodes in a tree as if they were rooms in a building, 
and the height is the number of storeys. h=4

One can envisage nodes in a tree as if they were posts in a fence, and 
the height is the number of fence-rails you need. h=3

Both make sense. I think my way makes more sense, but then I would, 
wouldn't I?

-- 
Richard Heathfield
Email: rjh at cpax dot org dot uk
"Usenet is a strange place" - dmr 29 July 1999
Sig line 4 vacant - apply within

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Thread

on an n-element heap and its nodes of height h Daniel Bastos <dbastos@toledo.com> - 2016-04-18 08:48 -0300
  Re: on an n-element heap and its nodes of height h Wally W. <ww84wa@aim.com> - 2016-04-18 08:08 -0400
  Re: on an n-element heap and its nodes of height h Öö Tiib <ootiib@hot.ee> - 2016-04-18 05:47 -0700
    Re: on an n-element heap and its nodes of height h Daniel Bastos <dbastos@toledo.com> - 2016-04-18 13:56 -0300
  Re: on an n-element heap and its nodes of height h Richard Heathfield <rjh@cpax.org.uk> - 2016-04-18 14:41 +0100
    Re: on an n-element heap and its nodes of height h Daniel Bastos <dbastos@toledo.com> - 2016-04-18 13:36 -0300
      Re: on an n-element heap and its nodes of height h Richard Heathfield <rjh@cpax.org.uk> - 2016-04-18 21:45 +0100
        Re: on an n-element heap and its nodes of height h Ben Bacarisse <ben.usenet@bsb.me.uk> - 2016-04-19 01:55 +0100
          Re: on an n-element heap and its nodes of height h Richard Heathfield <rjh@cpax.org.uk> - 2016-04-19 02:05 +0100
            Re: on an n-element heap and its nodes of height h Ben Bacarisse <ben.usenet@bsb.me.uk> - 2016-04-19 02:28 +0100
              Re: on an n-element heap and its nodes of height h Richard Heathfield <rjh@cpax.org.uk> - 2016-04-19 02:30 +0100
                Re: on an n-element heap and its nodes of height h Philip Lantz <prl@canterey.us> - 2016-04-18 21:24 -0700
                Re: on an n-element heap and its nodes of height h Richard Heathfield <rjh@cpax.org.uk> - 2016-04-19 09:23 +0100
                Re: on an n-element heap and its nodes of height h Ben Bacarisse <ben.usenet@bsb.me.uk> - 2016-04-20 11:01 +0100

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