Wikiversity

File:Weak orderings 3.svg

Original file ‎(SVG file, nominally 773 × 678 pixels, file size: 99 KB)

This is a file from the Wikimedia Commons. The description on its description page there is shown below.

Commons is a freely licensed media file repository. You can help.

Summary

Description

The Sloane's A000670(3) = 13 possible weak orderings on (or ordered set partitions of) a 3-element set

shown in the Cayley graph of S3 that looks like the permutohedron


Reading the permutation matrices by row gives the permutations in the Cayley graph, which also appear as labels a|b|c|d.
(Reading them by column gives the permutations in the permutohedron.)

There is also:
left action
last ⋅ first
This is:
right action
first ⋅ last
Date
Source Own work
Author
Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
Permission
(Reusing this file)
Public domain 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.
Other versions
permutohedron with the same permutation matrices (representing the inverse permutations)
3
4

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current00:12, 9 June 2013Thumbnail for version as of 00:12, 9 June 2013773 × 678 (99 KB)Watchducklayout
22:12, 26 May 2013Thumbnail for version as of 22:12, 26 May 2013948 × 752 (84 KB)Watchduck{{Information |Description ={{en|1=.}} |Source ={{own}} |Author ={{Mate2code}} |Date = |Permission = |other_versions = }} .

Global file usage

The following other wikis use this file:

Metadata

This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.

If the file has been modified from its original state, some details may not fully reflect the modified file.

Retrieved from "https://en.wikiversity.org/wiki/File:Weak_orderings_3.svg"