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In graph theory, a BF-graph is a type of directed hypergraph where each hyperedge is directed either to one particular vertex or away from one particular vertex.
In a directed hypergraph, each hyperedge may be directed away from some of its vertices and towards some others of its vertices.A hyperedge that is directed to a single head vertex, and away from all its other vertices, is called a B-arch. Symmetrically, a hyperedge that is directed away from a single tail vertex, and towards all its other vertices, is called an F-arc.
A hypergraph with only B-arcs is a B-graph and a hypergraph with only F-arcs is a F-graph.
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