9814

Permutation Grid Classes

A grid class of permutations is defined by a 0/1/-1 matrix, which specifies the shape of plots of the permutations in the class. Each cell in the matrix corresponds to a rectangle in a "gridding" of a permutation. If the cell in the matrix contains 1, any points in the rectangle must form an increasing sequence; if the cell contains -1, any points in the rectangle must form a decreasing sequence; if the cell is 0, the rectangle must be empty. An empty sequence is both increasing and decreasing. A permutation in a grid class may have multiple possible griddings.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

Click in either the numeric or graphical representation of the matrix to change the cell values.
Permutation grid classes are defined in [1].
Reference
[1] S. Huczynska and V. Vatter, "Grid Classes and the Fibonacci Dichotomy for Restricted Permutations," Electronic Journal of Combinatorics, 13(R54), 2006 pp. 1–14.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.









 
RELATED RESOURCES
Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2014 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+