line_graph — graph with nodes corresponding to edges
g1 = line_graph(g)
line_graph returns the graph g1 with the nodes corresponding
to the edges of the graph g.
g1 is defined in the following way:
- its nodes correspond to the edges of g
- 2 nodes of the new graph are adjacent if and only if the corresponding
edges of the graph g are adjacent.
The coordinates of the nodes of g1 are given by the middle points of the
corresponding edges of g.
ta=[1 1 2 4 4 5 6 7 2 3 5 1];
he=[2 6 3 6 7 8 8 8 4 7 3 5];
g=make_graph('foo',0,8,ta,he);
g.nodes.graphics.x=[281 284 360 185 405 182 118 45];
g.nodes.graphics.y=[262 179 130 154 368 248 64 309];
show_graph(g);
g1=line_graph(g);show_graph(g,'new');
g1.nodes.graphics.colors(2,:)=color('red')
g1.edges.graphics.foreground(:)=color('red')
show_graph(graph_union(g,g1,%f),'new')