File:Symmetric group 4; Cayley graph 1,2,6 (3D).svg
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Captions
Captions
Summary[edit]
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Cayley graph of S4 generated by the transpositions that swap neighbouring elements Below the permutations the inversion vectors are shown. Their bitwise-smaller relation corresponds to the edges.
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The same diagram with Young diagrams assigned to the permutations can be found on the front page of The Mathematical Legacy of Richard P. Stanley by Patricia Hersh: |
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Licensing[edit]
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I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 01:23, 25 December 2016 | | 744 × 744 (275 KB) | Watchduck (talk | contribs) | include inversion vectors |
| 00:57, 17 February 2011 |  | 744 × 744 (114 KB) | Watchduck (talk | contribs) | == {{int:filedesc}} == {{Information |Description= Cayley graph of S<sub>4</sub> {{inkscape}} |Source={{own}} |Date=2011 |Author=Lipedia |Permission= |other_versions= }} == {{int:license}} == |
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File usage on Commons
The following 10 pages use this file:
- File:Symmetric group 4; Cayley graph 1,2,6.svg
- File:Symmetric group 4; Cayley graph 1,2,6 (1-based).png
- File:Symmetric group 4; Cayley graph 1,2,6 (3D); Steinhaus–Johnson–Trotter.svg
- File:Symmetric group 4; permutation list; Steinhaus–Johnson–Trotter Cayley graph.svg
- File:Symmetric group 4; permutation list; Steinhaus–Johnson–Trotter permutohedron.svg
- File:Symmetric group 4; permutohedron; permutations and inversion vectors; Steinhaus–Johnson–Trotter.svg
- File:Symmetric group 4; permutohedron 3D; numbers; Steinhaus–Johnson–Trotter.svg
- File:Symmetric group 4; permutohedron 3D; numbers of inverses.svg
- File:Symmetric group 4; permutohedron 3D; permutations and inversion vectors; Steinhaus–Johnson–Trotter.svg
- Template:Steinhaus–Johnson–Trotter
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