Length-four pattern avoidance in inversion sequences

HIGHLIGHTS

  • who: Length-Four Pattern Avoidance et al. from the University of have published the research work: Length-Four Pattern Avoidance in Inversion Sequences, in the Journal: (JOURNAL)

SUMMARY

    Classical pattern avoidance represents permutations using one-line notation π=π1 · · · πn; an alternative representation for permutations is using inversion sequences e=e1 · · · en, sequences of integers such that 0 6 ei and amp;lt; i for all i. Inversion sequences are in natural bijection with permutations via the well-known Lehmer code, an example of an inversion table: one can biject an inversion sequence e . . .

     

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