What particularly puzzles me: Using my example graph I nowhere see the right answer in the gt output:

 

edgelist = np.array([[ 0,  1], [ 0,  3], [ 0,  5], [ 0,  9], [ 1,  2], [ 1,  4], [ 1,  5], [ 1,  8], [ 1, 16], [ 1, 17], [ 1, 23], [ 3,  5], [ 3, 19], [ 5,  6], [ 5,  9], [ 5, 11], [ 5, 13], [ 6,  7], [ 6, 10], [ 8, 12], [ 8, 21], [ 9, 15], [ 9, 22], [11, 13], [13, 14], [13, 21], [15, 20], [15, 24], [17, 18]])

edgeweights = np.array([2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1])

G = Graph(directed=False)

G.add_edge_list(edgelist)

weight = G.new_edge_property('int')

weight.a = edgeweights

graph_draw(G, edge_pen_width=weight, vertex_text=G.vertex_index, output_size=(300, 300))

 

Visual inspection shows that the largest bicomponent is the set of 9 vertices {0, 1, 3, 5, 8, 9, 11, 13, 21}.

 

bicomp, articulation, nc = label_biconnected_components(G, eprop=weight)

print(bicomp.a)

> [16 16 16 16  0  1 16 16 12 14 15 16 11  4 16 16 16  2  3 10 16  7  8 16  9  16  5  6 13]

print(articulation.a)

> [0 1 0 1 0 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0]

nc

> array([ 1,  1,  1,  1,  1,  1,  1,  1,  1,  1,  1,  1,  1,  1,  1,  1, 13], dtype=uint64)

 

How do I recover the largest component?

 

Also, my example is a weighted graph, but the method is agnostic of edge weights. So what can eprop be used for?

 

Best wishes

 

Haiko

 

 

 

 

Von: graph-tool [mailto:graph-tool-bounces@skewed.de] Im Auftrag von Lietz, Haiko
Gesendet: Dienstag, 5. Juni 2018 14:38
An: 'graph-tool@skewed.de'
Betreff: [graph-tool] Extract largest biconnected component

 

Hi all,

 

There is a function to label the edges of biconnected components in a graph:

 

https://graph-tool.skewed.de/static/doc/topology.html#graph_tool.topology.label_biconnected_components

 

I’m struggling to interpret the output of the example given there. comp.a is an edge property map with integers labeling edges. But what are those values?

 

And how can I use this property map to extract the *largest* bicomponent?

 

Is it about binarizing the map and using it in G.set_edge_filter()?

 

Many thanks in advance, list

 

Haiko