incomparabilityGraph -- produces the incomparability graph of a poset

Synopsis

• Usage:

  G = incomparabilityGraph P

• Inputs:

  • P, an object of class Poset
• Outputs:

  • G, an object of class Graph, which has an edge between two vertices if they are incomparable in P

Description

i1 : incomparabilityGraph booleanLattice 3

o1 = Graph{0 => set {}       }
           1 => set {2, 4, 6}
           2 => set {1, 4, 5}
           3 => set {4, 5, 6}
           4 => set {1, 2, 3}
           5 => set {2, 3, 6}
           6 => set {1, 3, 5}
           7 => set {}

o1 : Graph

Caveat

See also

• comparabilityGraph -- produces the comparability graph of a poset
• compare -- compares two elements in a poset