graph_complement

graph_complement — complement of a graph

Calling sequence

g1 = graph_complement(g,[gmax])  

Parameters

g : graph list
gmax : graph list
g1 : graph list of the new graph

Description

graph_complement returns the undirected graph g1 which is the complement of the graph g with respect to the corresponding complete graph. When gmax is given, the complement is made with respect to gmax. g and gmax are supposed to be simple graphs (use graph_simp before calling graph_complement if necessary) and to have the same number of nodes.

Examples



ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 10 11 12 13 13 13 14 15 17 17 16 16];
he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 13 15 12 13 9 10 14 11 16 14 15 1 17];
g=make_graph('foo',1,17,ta,he);
g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642];
g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301];
g('edge_color')=modulo([1:(edge_number(g))],15)+1;
g('node_diam')=[1:(g('node_number'))]+20;
show_graph(g);
g1=graph_complement(g);
show_graph(g1,'new');
g=graph_complement(g1);
show_graph(g);
 
  

See also

graph_sum, graph_simp