***** To join INSNA, visit http://www.insna.org ***** Thanks everyone for the help (either in this thread or by mail) on drawing trees with defined edge lengths.
Too bad you're not interested in the height of the tree. All you'd
have to do is generate the tree at the University of Michigan. I've
heard that they're all the right height there. -David
2012/3/2 Kimmo Soramäki <[log in to unmask]>:
> ***** To join INSNA, visit http://www.insna.org ***** Thanks Moses
David Krackhardt, Professor of Organizations, Executive Editor of JoSS>
> I was thinking Minimum Spanning Trees (of any graph) and ability to define
> the (visual) length of each edge separately in a layout (I did not mean
> height of the tree).
> Meanwhile I found
> http://www.inf.uni-konstanz.de/algo/publications/bbs-dpt-05.pdf (Bachmaier,
> Brandes and Schlieper) which looked promising (radial layout pseudocode).
> I'll post the results of implementing the above.
> 2012/3/2 Moses Boudourides <[log in to unmask]>
>> What exactly do you mean by "length of the edges"? Is this the same
>> with the level of nodes in a rooted tree, the maximum of which being
>> what is called the height of the tree?
>> If yes, then in the case of a binary tree T with n nodes, you may want
>> to consider that the height of a tree ht(T) is bounded by
>> ceiling(lg(n + 1) - 1) \leq ht(T) \leq (n - 1)/2,
>> where lg is the logarithm with base 2.
>> Furthermore, among all regular binary trees with n nodes, the minimum
>> average level for the leaves is attained by the complete regular
>> binary trees.
>> Now, a good source of algorithms on search trees is Robert Tarjan's
>> Data Structures and Network Algorithms (chapter 4 etc.).
>> I understand that these hints might not be what you're looking for (in
>> case you may wish to remain on visualization techniques). Perhaps
>> others in the list might be able to help you more on this.
>> 2012/3/2 Kimmo Soramäki <[log in to unmask]>:
>> > ***** To join INSNA, visit http://www.insna.org ***** Hello everyone
>> > Does anyone know of an algorithm (any language) for drawing a tree graph
>> > with the constraint that the length of the edges is pre-specified? If
>> > the
>> > algorithm is in Java and specifies vertex coordinates - even better.
>> > Most algorithms I see adjust the length of the edges for visual
>> > purposes.
>> > Thanks a lot!
>> > Kimmo
>> > -------------------------------
>> > Kimmo Soramaki
>> > Founder, www.fna.fi
>> > Blog, www.fna.fi/blog
>> > [log in to unmask]
>> > +34-662-594-200
>> > _____________________________________________________________________
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> Kimmo Soramaki
> Founder, www.fna.fi
> Blog, www.fna.fi/blog
> [log in to unmask]
> _____________________________________________________________________ SOCNET
> is a service of INSNA, the professional association for social network
> researchers (http://www.insna.org). To unsubscribe, send an email message to
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