Re: what does Method->"HighDimensionalEmbedding" actually do for GraphPlot?

• To: mathgroup at smc.vnet.net
• Subject: [mg87545] Re: [mg87482] what does Method->"HighDimensionalEmbedding" actually do for GraphPlot?
• From: Syd Geraghty <sydgeraghty at mac.com>
• Date: Sat, 12 Apr 2008 07:02:30 -0400 (EDT)
• References: <200804110547.BAA04959@smc.vnet.net>

```Murray,

There is an example (below) from ref/GraphPlot in the Documentation
under Options->Method,

Apply a number of methods on the Petersen graph:

<< Combinatorica`

Grid@Partition[
Table[GraphPlot[{1 -> 3, 1 -> 4, 2 -> 4, 2 -> 5, 3 -> 5, 6 -> 7, 7 -
> 8,
8 -> 9, 9 -> 10, 6 -> 10, 1 -> 6, 2 -> 7, 3 -> 8, 4 -> 9, 5 ->
10},
Method -> m, PlotLabel -> Style[m, Small], BaselinePosition -> Top,
ImageSize -> 150], {m, {"SpringElectricalEmbedding",
"SpringEmbedding",
"HighDimensionalEmbedding", "CircularEmbedding",
"RandomEmbedding",
"LinearEmbedding"}}], 3]

The output diagrams the Method options for the Petersen graph.

HTH

Syd

Syd Geraghty B.Sc, M.Sc.

sydgeraghty at mac.com

My System

Mathematica 6.0.1 for Mac OS X x86 (64 - bit) (June 19, 2007)
MacOS X V 10.5 .20
MacBook Pro 2.33 Ghz Intel Core 2 Duo  2GB RAM

On Apr 10, 2008, at 10:47 PM, Murray Eisenberg wrote:
What, exactly, is the "HighDimensionalEmbeedding" value for the
GraphPlot option Method?

And why does the following produce a display that seems to be wrong: the
displayed graph has only 5 edges instead of the expected 6 for the
complete graph on 4 vertices?

GraphPlot[CompleteGraph[4], Method -> "HighDimensionalEmbedding",
VertexLabeling -> True]

```

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