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Re: TreePlots and GraphPlots

  • To: mathgroup at smc.vnet.net
  • Subject: [mg88609] Re: TreePlots and GraphPlots
  • From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
  • Date: Fri, 9 May 2008 07:17:30 -0400 (EDT)
  • Organization: The Open University, Milton Keynes, UK
  • References: <fvudp8$eck$1@smc.vnet.net>

Namrata Khemka wrote:

> I have a question regarding TreePlot and GraphPlots. I have the following
> list :
>  myList1 = {{1.9124437047927545`, 2.140934695277407`,
>       2.4290608973234304`}, {3.1220434925197633`}, {3.193277882536842`,
>       3.321086033303083`, 3.3624160109272454`}, {3.8240882444935016`,
>       4.778362811870326`}}
> 
> One of the elements in this list is set as the root node for a tree - based
> structure. For instance :
>      treeRoot = myList1[[2]]
> 
>    Based on the list above : I would like the root node will have 3 children
> The first child has 3 leaf nodes
> {1.9124437047927545`, 2.140934695277407`,  2.4290608973234304`}, the second
> child has three leaf nodes
> {3.193277882536842`, 3.321086033303083`,  3.3624160109272454`} and finally
> the third child has 2 leaf nodes :
> {3.8240882444935016`, 4.778362811870326`}.
> 
> In other words, I am trying to represent myList1 in a tree structure.   I am
> not able to create a list of rules for the tree. Any suggestions/
>   ideas would be great.

The following may suit your needs.

myList1 = {{1.9124437047927545`, 2.140934695277407`,
     2.4290608973234304`}, {3.1220434925197633`}, {3.193277882536842`,
     3.321086033303083`, 3.3624160109272454`}, {3.8240882444935016`,
     4.778362811870326`}};

myList2 =
  Thread[Table[myList1[[2]], {Length[myList1] - 1}] ->
    Delete[myList1, 2]]

TreePlot[myList2, VertexLabeling -> True]

{{3.12204} -> {1.91244, 2.14093,
    2.42906}, {3.12204} -> {3.19328, 3.32109,
    3.36242}, {3.12204} -> {3.82409, 4.77836}}

[... Tree plot deleted ...]

Regards,
-- Jean-Marc


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