Corpus ID: 4947394

Pattern avoidance in forests of binary shrubs

@article{Bevan2016PatternAI,
  title={Pattern avoidance in forests of binary shrubs},
  author={D. Bevan and Derek Levin and P. Nugent and J. Pantone and Lara Pudwell and M. Riehl and M. L. Tlachac},
  journal={Discret. Math. Theor. Comput. Sci.},
  year={2016},
  volume={18}
}
  • D. Bevan, Derek Levin, +4 authors M. L. Tlachac
  • Published 2016
  • Mathematics, Computer Science
  • Discret. Math. Theor. Comput. Sci.
  • We investigate pattern avoidance in permutations satisfying some additional restrictions. These are naturally considered in terms of avoiding patterns in linear extensions of certain forest-like partially ordered sets, which we call binary shrub forests. In this context, we enumerate forests avoiding patterns of length three. In four of the five non-equivalent cases, we present explicit enumerations by exhibiting bijections with certain lattice paths bounded above by the line y = lx , for some… CONTINUE READING

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