e/Clique complex

Information
has gloss	eng: Clique complexes are also known as Whitney complexes. A Whitney triangulation or clean triangulation of a two-dimensional manifold is an embedding of a graph G onto the manifold in such a way that every face is a triangle and every triangle is a face; the Whitney complex of G is then an equivalent cell complex to the embedding, and is homeomorphic to the underlying manifold. A graph G has a 2-manifold clique complex, and can be embedded as a Whitney triangulation, if and only if G is locally cyclic; that is, the neighbors of each vertex should form a cycle.
lexicalization	eng: clique complex
lexicalization	eng: Conformal hypergraph
lexicalization	eng: Flag complex
lexicalization	eng: Whitney complex
instance of	e/Family of sets