The calculation of the maximal cliques of a graph can take a long time,
and dense graphs may have many maximal cliques, so use this funciton with
care.
Details
A clique hypergraph is one whose hyper-edge correspond to the maximal
cliques of a given graph.
References
Voloshin, Vitaly I. Introduction to graph and hypergraph theory.
Nova Science Publ., 2009.