Toufik Mansour - Enumeration of words by the sum of differences between adjacent letters

dmtcs:467 - Discrete Mathematics & Theoretical Computer Science, January 1, 2009, Vol. 11 no. 1 - https://doi.org/10.46298/dmtcs.467
Enumeration of words by the sum of differences between adjacent letters

Authors: Toufik Mansour

We consider the sum u of differences between adjacent letters of a word of n letters, chosen uniformly at random from a given alphabet. This paper obtains the enumerating generating function for the number of such words with respect to the sum u, as well as explicit formulas for the mean and variance of u.


Volume: Vol. 11 no. 1
Section: Combinatorics
Published on: January 1, 2009
Imported on: March 26, 2015
Keywords: [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


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