Abstract:
In this study, cluster hypergraphs are introduced to generalize the concept of hypergraphs, where cluster nodes are allowed. Few related terms and properties on cluster hypergraphs are discussed. Some operations, including the Cartesian product, union, intersection, etc., are studied. Diferent types of matrix representations and isomorphism are also proposed on cluster hypergraphs. The notion of an efective degree for nodes is introduced to capture the group/ cluster efects. At last, the area of applications and future directions with conclusions is deployed.
