graph_complement

Scilab function
Last update : September 1996

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`,