BF-graph

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 (its tails) and towards some others of its vertices (its heads). 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.

References

• G. Gallo; G.Longo; S. Nguyen & S. Pallottino (1993). "Directed hypergraphs and applications" (PDF). Discrete Applied Mathematics. 42 (2–3): 177–201. doi:10.1016/0166-218X(93)90045-P.
• S. Nguyen; D. Pretolani & L. Markenson (1998). "On Some Path Problems on Oriented Hypergraphs". ITA. 32 (1–3): 1–20.