Nondegenerate incidence structure

From Groupprops

Template:Incidence structure property

Definition

An incidence structure is said to be nondegenerate if the following conditions hold:

  • The set of points, and the set of blocks, are both nonempty
  • For every point, there are at least two distinct blocks not incident with that point
  • For every block, there are at least two distinct points not incident with that block