ring(HyperGraph) -- gives the ring of a (hyper)graph

i1 : S = QQ[a..d];

i2 : g = cycle S;

i3 : h = inducedHyperGraph(g,{a,b,c});

i4 : describe ring g

o4 = QQ[a..d, Degrees => {4:1}, Heft => {1}, MonomialOrder => {MonomialSize => 32}, DegreeRank => 1]
                                                              {GRevLex => {4:1}  }
                                                              {Position => Up    }

i5 : describe ring h

o5 = QQ[a..c, Degrees => {3:1}, Heft => {1}, MonomialOrder => {MonomialSize => 32}, DegreeRank => 1]
                                                              {GRevLex => {3:1}  }
                                                              {Position => Up    }