complementGraph -- Returns the complement of a graph

Usage:

G' = complementGraph G
Inputs:
- G, a graph,
Outputs:
- G', a graph, The complement graph of G

Description

The complement graph of a graph G is the graph G^c where any two vertices are adjacent in G^c iff they are not adjacent in G. The original vertex set is preserved, only the edges are changed.

i1 : G = cycleGraph 4

o1 = Graph{0 => {1, 3}}
           1 => {0, 2}
           2 => {1, 3}
           3 => {0, 2}

o1 : Graph

i2 : complementGraph G

o2 = Graph{0 => {2}}
           1 => {3}
           2 => {0}
           3 => {1}

o2 : Graph

Ways to use complementGraph:

complementGraph(Graph)

For the programmer

The object complementGraph is a method function.

The source of this document is in Graphs.m2:2285:0.