The line graph of the plane P.

The incidence graph of the plane P. This bipartite graph has as vertex set the union of the point set V and line set L of P. A vertex p in V is adjacent to a vertex l in L whenever p in l.

Given a plane P with v points and a finite field K, this function returns the linear code C of length v generated by the characteristic functions of the lines of P considered as vectors of the K-space K^((v)).