June 14, 2010

In “Introduction to Algorithms” by Cormen, Leiserson, Rivest, and Stein, a “naive” algorithm to randomize a list is described, called “Permute-With-All”. I made some plots of the probabilities of an element being moved to a particular location with this algorithm.

Probabilities, 4-element list

See the attached PDF for all of the plots, and take a look at the code.