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Enumeration of words by the sum of differences between adjacent letters.

Authors :
Mansour, Toufik
Source :
Discrete Mathematics & Theoretical Computer Science (DMTCS). Jun2009, Vol. 11 Issue 1, p173-185. 13p.
Publication Year :
2009

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
13658050
Volume :
11
Issue :
1
Database :
Academic Search Index
Journal :
Discrete Mathematics & Theoretical Computer Science (DMTCS)
Publication Type :
Academic Journal
Accession number :
41021549