无向超图的计数级数

Counting Series of Undirected Hypergraphs

应用置换群理论，引入了超过群、超围群和超图同构的概念，导出了超过群及其循环指标的一般表达式．导出了无向无标号超图和标号超目的计数级数，解决了无向超图的同构和计数问题．

By applying permutation group theory,the concepts of hyperedge group, hypergraph group and hypergraph isomorphism are introduced, and the general expressions of hyperedge group and its cycle index are derived. Then the counting series are derived for undirected unlabeled and labeled hypergraphs, thus the isomorphism and counting problems of undirected hypergraphs are solved.