Walks, Partitions, and Normal Ordering

[摘要] We describe the relation between graph decompositions into walks and the normal ordering of differential operators in the $n$-th Weyl algebra. Under several specifications, we study new types of restricted set partitions, and a generalization of Stirling

[学科分类] 离散数学和组合数学

[关键词] Walks;Differential operators;Weyl algebra;Set partitions;Stirling numbers