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.

Best,

Kimmo

2012/3/2 Moses Boudourides <[log in to unmask]>

Hi,

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.

Best,

--Moses

2012/3/2 Kimmo Soramäki <[log in to unmask]>:

> ***** To join INSNA, visit http://www.insna.org ***** Hello everyone

> _____________________________________________________________________ SOCNET>

> 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

>

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