File:Tractable points of the Tutte polynomial in the real plane.svg

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Summary

Description
English: The tractable points of the Tutte Polynomial in the real plane. Points in red are tractable over general graphs while the points in blue are #P-hard over general graphs but tractable over planar graphs.
The red curve is the hyperbola while the blue curve is the hyperbola .
Date
Source

Mathematica source code: 

minVal = -2.5;
maxVal = 4.5;
Show[
  Plot[1/(x - 1) + 1, {x, minVal, maxVal}, Exclusions -> {1}, PlotStyle -> {Red,  Thickness[Large]}, PlotRange -> {{minVal, maxVal}, {minVal, maxVal}}],
  Plot[2/(x - 1) + 1, {x, minVal, maxVal}, Exclusions -> {1}, PlotStyle -> {Blue, Thickness[Large]}, PlotRange -> {{minVal, maxVal}, {minVal, maxVal}}],
  ListPlot[{{1, 1}, {-1, -1}, {-1, 0}, {0, -1}}, PlotStyle -> {Red, PointSize[0.02]}],
  GridLines -> Automatic, GridLinesStyle -> Directive[Dashed], AxesLabel -> {x, y}, AspectRatio -> 1]
Author Self

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inception

11 November 2011

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Date/TimeThumbnailDimensionsUserComment
current06:41, 22 November 2011Thumbnail for version as of 06:41, 22 November 2011360 × 361 (42 KB)wikimediacommons>Bender2k14(Probably) includes fix so that the blue hyperbola does not leave the plot range

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