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]

**Follow-Ups**:**Re: Re: what does Method->"HighDimensionalEmbedding"***From:*Murray Eisenberg <murray@math.umass.edu>

**References**:**what does Method->"HighDimensionalEmbedding" actually do for GraphPlot?***From:*Murray Eisenberg <murray@math.umass.edu>