Is there an analogy of a vertex separator for hypergraphs?
heres an example


PARTITIONING HYPERGRAPHS IN SCIENTIFIC COMPUTING
APPLICATIONS THROUGH VERTEX SEPARATORS ON GRAPHS KAYAASLAN et al


(there is also some research on hypergraph edge separators used in SAT solvers &amp; other edge separators but not incl it because you asked for vertex separators although there is possibly/presumably some connection.)