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line_graph

graph with nodes corresponding to edges

Calling Sequence

g1 = line_graph(g)

Parameters

g

a graph_data_structure.

g1

graph data structure of the new graph

Description

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.

Examples

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')

See Also


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