Pattern Avoidance in Generalized Non-crossing Trees

Details Pattern Avoidance in Generalized Non-crossing Trees Pattern Avoidance in Generalized Non-crossing Trees

2008-05-09

arxiv.org/abs/0805.1280v1

Mathematics

Combinatorics

12 pages; 3 figures

Scientific paper

In this paper, the problem of pattern avoidance in generalized non-crossing trees is studied. The generating functions for generalized non-crossing trees avoiding patterns of length one and two are obtained. Lagrange inversion formula is used to obtain the explicit formulas for some special cases. Bijection is also established between generalized non-crossing trees with special pattern avoidance and the little Schr\"{o}der paths.

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