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1 Department of Mathematics Dalian

Abstract : The problem of string pattern avoidance in generalized non-crossing trees is studied. The generating functions for generalized non-crossing trees avoiding string patterns of length one and two are obtained. The Lagrange inversion formula is used to obtain the explicit formulas for some special cases. A bijection is also established between generalized non-crossing trees with special string pattern avoidance and little Schr ̈oder paths.





Autor: Yidong Sun - Zhiping Wang -

Fuente: https://hal.archives-ouvertes.fr/



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