Incidence Structures
The incidence matrix of an incidence structure C is a p × q matrix, where p and q are the number of points and lines respectively, such that if the point and line are incident and 0 otherwise. In this case the incidence matrix is also a biadjacency matrix of the Levi graph of the structure. As there is a hypergraph for every Levi graph, and vice-versa, the incidence matrix of an incidence structure describes a hypergraph.
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