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Finding and Counting Permutations via CSPs
2021
Permutation patterns and pattern avoidance have been intensively studied in combinatorics and computer science, going back at least to the seminal work of Knuth on stack-sorting (1968). Perhaps the most natural algorithmic question in this area is deciding whether a given permutation of length n contains a given pattern of length k. In this work we give two new algorithms for this well-studied problem, one whose running time is n (k/4+o(k)), and a polynomial-space algorithm whose running time
doi:10.17169/refubium-29991
fatcat:dcilhv7v7ndh3jt57p63nvu4lu