A Wilf class composed of 19 symmetry classes of quadruples of 4-letter patterns

Talha Arıkan, Emrah Kılıç and Toufik Mansour
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 23, 2017, Number 3, Pages 123—132
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Authors and affiliations

Talha Arıkan
Department of Mathematics, Hacettepe University
Ankara, Turkey

Emrah Kılıç
Department of Mathematics, TOBB Economy and Technology University
06560, Ankara, Turkey

Toufik Mansour
Department of Mathematics, University of Haifa
3498838 Haifa, Israel

Abstract

In this paper, we make a contribution to the enumeration of permutations avoiding a quadruples of 4-letter patterns by establishing a Wilf class composed of 19 symmetry classes.

Keywords

  • Pattern avoidance
  • Wilf-equivalence

AMS Classification

  • 05A05
  • 05A15

References

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  2. Callan, D. & Mansour, T. (2017) A Wilf class composed of 7 symmetry classes of triples of 4-letter patterns, J. Analysis Num. Theory 5:1, 19–26.
  3. Callan, D. & Mansour, T. (2017) On permutations avoiding 1324, 2143, and another 4-letter pattern, PuMA 26:1, 1–10.
  4. Callan, D. & Mansour, T. (2017) On permutations avoiding 1243, 2134, and another 4-letter pattern, PuMA 26:1, 11–21.
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  9. Mansour, T. (2012) Combinatorics of Set Partitions, CRC Press, Boca Raton, FL
  10. Mansour, T. & Schork, M. (2016) Wilf classification of subsets of four letter patterns, Journal of Combinatorics and Number Theory, 8:1, 1–129.
  11. Mansour, T. & Schork, M. (2016) Wilf classification of subsets of eight and nine four-letter patterns, Journal of Combinatorics and Number Theory, 8:3, 257–283.
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Cite this paper

APA

Arıkan, T., Kılıç, E. & Mansour, T. (2017). A Wilf class composed of 19 symmetry classes of quadruples of 4-letter patterns, Notes on Number Theory and Discrete Mathematics, 23(3), 79-99.

Chicago

Arıkan, Talha, Emrah Kılıç, and Toufik Mansour. “A Wilf class composed of 19 symmetry classes of quadruples of 4-letter patterns.” Notes on Number Theory and Discrete Mathematics 23, no. 3 (2017): 179-99.

MLA

Arıkan, Talha, Emrah Kılıç, and Toufik Mansour. “A Wilf class composed of 19 symmetry classes of quadruples of 4-letter patterns.” Notes on Number Theory and Discrete Mathematics 23.3 (2017): 79-99. Print.

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