n, an integer, the index of an edge in H of a good leaf. Returns -1 if H does not have a good leaf.
Description
A good leaf of hypergraph H is an edge L whose intersections with all other edges form a totally ordered set. It follows that L must have a free vertex. In the graph setting, a good leaf is an edge containing a vertex of degree one. The notion of a good leaf was introduced by X. Zheng in her Ph.D. thesis (2004).
i1 : R = QQ[a..g];
i2 : H = hyperGraph {b*c*d*e, a*b*c*d, c*d*f, d*g, e*f*g};