File:Inversion set and vector of a permutation.svg

From formulasearchengine
Jump to navigation Jump to search

Original file(SVG file, nominally 553 × 777 pixels, file size: 186 KB)

This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

Description

Example of inversions of a permutation

The example permutation (4,1,5,2,6,3) has the left inversion count (0,1,0,2,0,3)
and the inversion set { (1,2) , (1,4),(3,4) , (1,6),(3,6),(5,6) }.
The left inversion count converted to decimal is 373 - the permutation's reverse colexicographic rank.

(This permutation is also shown in this array.)


The inversion set contains 6 of the = 15 2-subsets of a 6-set.

The triangle is ordered like the square array Sloane'sA018900 (compare this triangle).
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.

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
current15:14, 11 March 2017Thumbnail for version as of 15:14, 11 March 2017553 × 777 (186 KB)wikimediacommons>WatchduckCorrect terminology: little-endian factorial number --> left inversion count

There are no pages that use this file.