Langbahn Team – Weltmeisterschaft

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

Original file (SVG file, nominally 360 × 361 pixels, file size: 42 KB)

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]
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inception

11 November 2011

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Date/TimeThumbnailDimensionsUserComment
current01:11, 22 November 2011Thumbnail for version as of 01:11, 22 November 2011360 × 361 (42 KB)Bender2k14(Probably) includes fix so that the blue hyperbola does not leave the plot range
21:06, 17 November 2011Thumbnail for version as of 21:06, 17 November 2011360 × 361 (43 KB)Bender2k14Also forgot the other part of the blue hyperbola.
17:09, 17 November 2011Thumbnail for version as of 17:09, 17 November 2011360 × 361 (41 KB)Bender2k14Forgot to include half of the hyperbola
16:36, 12 November 2011Thumbnail for version as of 16:36, 12 November 2011360 × 361 (38 KB)Bender2k14Smaller default size. Might help with contrast with axises.
03:55, 12 November 2011Thumbnail for version as of 03:55, 12 November 2011540 × 546 (38 KB)Bender2k14{{Information |Description ={{en|1=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 plan

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Quelle: https://en.wikipedia.org/wiki/File:Tractable_points_of_the_Tutte_polynomial_in_the_real_plane.svg