Restricted involutions and Motzkin paths

@inproceedings{Barnabei2008RestrictedIA,
  title={Restricted involutions and Motzkin paths},
  author={Marilena Barnabei and Flavio Bonetti and Matteo Silimbani},
  year={2008}
}
We show how a bijection due to Biane between involutions and labelled Motzkin paths yields bijections between Motzkin paths and two families of restricted involutions that are counted by Motzkin numbers, namely, involutions avoiding 4321 and 3412. As a consequence, we derive characterizations of Motzkin paths corresponding to involutions avoiding either 4321 or 3412 together with any pattern of length 3. Furthermore, we exploit the described bijection to study some notable subsets of the set of… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.
2 Citations
7 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-7 of 7 references

Denert ’ s permutation statistic is indeed EulerMahonian

  • D. Zeilberger D. Foata
  • Ann . Comb .
  • 2007

Refined restricted involutions

  • X. G. A. de Médicis
  • 2007

Asymptotic values for degrees associated with strips of Young tableau

  • A. Regev
  • 2002

Pergola , Enumeration of vexillary involutions which are equal to their mirror / complement

  • E. O. Guibert
  • Discrete Math .
  • 2002

Avoiding 2letter signed patterns

  • J. West T. Mansour
  • Sm . Lothar . Combin .
  • 2001

Pinzani , Vexillary involutions are enumerated by Motzkin numbers

  • E. Pergola O. Guibert, R.
  • Ann . Comb .
  • 2000

Similar Papers

Loading similar papers…