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File:SoiferGraphJmol1C.jpg

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Captions

Captions

The Soifer Graph with 9 vertices and 20 edges.

Summary edit

Description
English: The Soifer graph with 9 vertices (enumerated 0..8) and 20 edges, Wiener Index 2, diameter 2. The vertices are colored by their degree (degree 4 pink, degree 5 gray). The angle of view has been chosen to illustrate the automorphism group of order 2, a left-right symmetry. Generated with Jmol and the following Molfile:

Y9W52d2EE10200407 RMWigGraph0225211529 Richard J. Mathar, arxiv:1109.2358 

 9 20  0  0  0  0  0  0  0  0  1V2000
  -0.6306    0.7044   -0.5227 B   0  0  0  1  0  4
  -1.0314   -0.2572    0.1540 B   0  0  0  1  0  4
  -0.3816    0.5989    0.5917 C   0  0  0  1  0  5
   0.4777    0.7562   -0.2331 C   0  0  0  1  0  5
  -0.3501   -0.5191    0.8805 B   0  0  0  1  0  4
   0.6333   -0.0620    0.6479 C   0  0  0  1  0  5
   0.9700   -0.2775   -0.3866 B   0  0  0  1  0  4
   0.2233   -0.0276   -1.0503 B   0  0  0  1  0  4
   0.0894   -0.9160   -0.0815 C   0  0  0  1  0  5
 1  2  1  0  0  1  0
 1  3  1  0  0  1  0
 1  4  1  0  0  1  0
 1  8  1  0  0  1  0
 2  3  1  0  0  1  0
 2  5  1  0  0  1  0
 2  9  1  0  0  1  0
 3  4  1  0  0  1  0
 3  5  1  0  0  1  0
 3  6  1  0  0  1  0
 4  6  1  0  0  1  0
 4  7  1  0  0  1  0
 4  8  1  0  0  1  0
 5  6  1  0  0  1  0
 5  9  1  0  0  1  0
 6  7  1  0  0  1  0
 6  9  1  0  0  1  0
 7  8  1  0  0  1  0
 7  9  1  0  0  1  0
 8  9  1  0  0  1  0

M END

Date
Source Own work
Author R. J. Mathar

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Date/TimeThumbnailDimensionsUserComment
current14:56, 25 February 2021Thumbnail for version as of 14:56, 25 February 20211,235 × 1,004 (93 KB)R. J. Mathar (talk | contribs)Uploaded own work with UploadWizard

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