Kitaev, Sergey and Mansour, Toufik and Seebold, Patrice (2008) Counting ordered patterns in words generated by morphisms. Integers: Electronic Journal of Combinatorial Number Theory, 8 (1). ISSN 1553-1732Full text not available in this repository. Request a copy from the Strathclyde author
We start a general study of counting the number of occurrences of ordered patterns in words generated by morphisms. We consider certain patterns with gaps (classical patterns) and those with no gaps (consecutive patterns). Occurrences of the patterns are known, in the literature, as rises, descents, (non-)inversions, squares and p-repetitions. We give recurrence formulas in the general case, then deducing exact formulas for particular families of morphisms. Many (classical or new) examples are given illustrating the techniques and showing their interest.
|Keywords:||classical patterns, ordered patterns, morphisms, Electronic computers. Computer science|
|Subjects:||Science > Mathematics > Electronic computers. Computer science|
|Department:||Faculty of Science > Computer and Information Sciences|
|Depositing user:||Pure Administrator|
|Date Deposited:||15 Oct 2014 14:06|
|Last modified:||07 Jan 2017 04:20|