  We proposed two classes of multiparticle entangled states, the multigraph
states and multihypergraph states, defined by unique operations on the edges
and hyperedges. A key discovery is the one-to-one correspondence between the
proposed multihypergraph states and the generalized real equally weighted
states when d is prime. While for composite d, multihypergraph states form a
subset of the generalized real equally weighted states. Meanwhile, we detailed
a method for constructing real equally weighted states from hypergraph states
and revealed the generalized real equally weighted states which cannot be
generated from d-dimensional hypergraph states.
