IncidenceMatrix
IncidenceMatrix[g] gives the vertex-edge incidence matrix of the graph g.
IncidenceMatrix[{v -> w, ...}]uses rules v -> w to specify the graph g.
Examples
Incidence matrix of a graph:
g = Graph[{1 -> 2, 2 -> 3, 3 -> 1}];
IncidenceMatrix[g]From edge rules:
IncidenceMatrix[{a -> b, b -> c, c -> a}]Undirected graph:
IncidenceMatrix[CycleGraph[4]]Please visit the official Wolfram Language Reference for more details.