vertexEdgeMatrix -- computes the vertex-edge-relations matrix

Usage:

M = vertexEdgeMatrix P
Inputs:
- P, a convex polyhedron
Outputs:
- M, a matrix

Description

vertexEdgeMatrix computes the matrix M where the columns are indexed by the edges and the rows are indexed by the vertices of P and has 1 as an entry if the corresponding edge contains this vertex and 0 otherwise.

i1 : P = cyclicPolytope(3,5)

o1 = P

o1 : Polyhedron

i2 : vertexEdgeMatrix P

o2 = | 0 1 2 3 4 5 6 7 8 9 |
     | 1 1 0 1 1 0 0 1 0 0 |
     | 2 0 1 1 0 0 0 0 0 1 |
     | 3 1 1 0 0 1 0 0 1 0 |
     | 4 0 0 0 1 1 1 0 0 0 |
     | 5 0 0 0 0 0 1 1 1 1 |

              6       10
o2 : Matrix ZZ  <-- ZZ

Ways to use vertexEdgeMatrix:

vertexEdgeMatrix(Polyhedron)

For the programmer

The object vertexEdgeMatrix is a method function.

The source of this document is in Polyhedra/documentation/old_documentation.m2:2266:0.