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4 papers · 2 filters
The sigma-sequence and counting occurrences of some patterns, subsequences and subwords
Sergey Kitaev
We consider sigma-words, which are words used by Evdokimov in the construction of the sigma-sequence. We then find the number of occurrences of certain patterns and subwords in the…
On multi-avoidance of generalized patterns
T. Mansour, S. Kitaev
In [Kit1] Kitaev discussed simultaneous avoidance of two 3-patterns with no internal dashes, that is, where the patterns correspond to contiguous subwords in a permutation. In thre…
Generalized pattern avoidance with additional restrictions
Sergey Kitaev
Babson and Steingr\'ımsson introduced generalized permutation patterns that allow the requirement that two adjacent letters in a pattern must be adjacent in the permutation. We con…
Simultaneous avoidance of generalized patterns
S. Kitaev, T. Mansour
In [BabStein] Babson and Steingr\'ımsson introduced generalized permutation patterns that allow the requirement that two adjacent letters in a pattern must be adjacent in the permu…