Identities Derived from Noncrossing Partitions of Type B

作者：Chen, William Y. C.^*; Wang, Andrew Y. Z.; Zhao, Alina F. Y.

来源：ELECTRONIC JOURNAL OF COMBINATORICS, 2011, 18(1): P129.

• PLANE TREES
• SCHRODER NUMBERS
• LATTICE PATHS
• NARAYANA
• EVEN
• ODD

Based on weighted noncrossing partitions of type B, we obtain type B analogues of Coker's identities on the Narayana polynomials. A parity reversing involution is given for the alternating sum of Narayana numbers of type B. Moreover, we find type B analogues of the refinements of Coker's identities due to Chen, Deutsch and Elizalde. By combinatorial constructions, we provide type B analogues of three identities of Mansour and Sun also on the Narayana polynomials.

• 出版日期2011-6-14
• 单位南开大学