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isGoodLeaf -- determines if an edge is a good leaf



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 {a*b*c*d, b*c*d*e, c*d*f, d*g, e*f*g};
i3 : edges(H)

o3 = {{a, b, c, d}, {b, c, d, e}, {c, d, f}, {d, g}, {e, f, g}}

o3 : List
i4 : isGoodLeaf(H,0)

o4 = true
i5 : isGoodLeaf(H,1)

o5 = false

See also

Ways to use isGoodLeaf :

For the programmer

The object isGoodLeaf is a method function.