Consecutive patterns in permutations: clusters and generating functions
We use the cluster method in order to enumerate permutations avoiding consecutive patterns. We reprove and generalize in a unified way several known results and obtain new ones, including some patterns of length 4 and 5, as well as some infinite families of patterns of a given shape. Our main tool i...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Discrete Mathematics & Theoretical Computer Science
2012-01-01
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Series: | Discrete Mathematics & Theoretical Computer Science |
Subjects: | |
Online Access: | https://dmtcs.episciences.org/3036/pdf |