Chung-Feller Property of Schröder Objects

[摘要] Large Schröder paths, sparse noncrossing partitions, partial horizontal strips, and $132$-avoiding alternating sign matrices are objects enumerated by Schröder numbers. In this paper we give formula for the number of Schröder objects with given type and n

[学科分类] 离散数学和组合数学

[关键词] Large and small Schröder paths;Partial horizontal strips;Sparse non-crossing partitions;132-avoiding alternating sign matrices