clust_w - Compute the graph and node clustering of weighted graphs
clust_w graph_in [SHOW]
clust_w computes the clustering coefficient of the undirected and
weighted graph given as input in the file graph_in. The program uses
the definition of weighted clustering proposed by Barrat, Barthelemy,
Pastor-Satorras ans Vespignani. If SHOW is provided as a second
parameter, the program prints on STDERR the label, degree, and
clustering coefficient of all the nodes in graph_in.
undirected and weighted input graph (edge list). If it is equal to
- (dash), read the edge list from STDIN.
If the second (optional) parameter is equal to SHOW, the program
will dump on the standard error the label, degree, and clustering
coefficient of each node in graph_in.
If only graph_in is specified, then the output is a single line,
containing the clustering coefficient of the undirected and weighted
graph provided as input. If SHOW is specified, the program will
print on the standard output one line for each node, in the format:
node_1 k_1 c_1
node_2 k_2 c_2
node_3 k_3 c_3
....
where node_1 is the label of the node, k_1 is its degree, and
c_1 is its node clustering coefficient.
The most simple way of using clust is to compute only the clustering
coefficient of a graph. For instance, the command:
$ clust_w US_airports.net
0.01034196
$
computes the weighted clustering coefficient of the graph
US_airports.net (the US air transportation network). In order to
obtain the weighted clustering coefficient of all the nodes, we should
use:
$ clust_w US_airports.net SHOW
0 145 0.30493676524961
1 136 0.364315549333
2 132 0.3443612411812
3 76 0.52204673222936
....
497 2 1
498 2 1
499 1 0
0.65111741
$
The last line printed on output is still the value of the weighted
clustering coefficient of the graph, while the previous 500 lines
(which are printed on STDERR) contain the label, degree, and weighted
clustering coefficient of each node. For instance, the first line
indicates that node 0 has degree equal to 145 and clustering
coefficient equal to 0.30493676524961. It is more convenient to save
the values of node clustering coefficients in a file, e.g.:
$ clust_w US_airports.net SHOW 2> node_clust_w
0.65111741
$
In this case, the program prints on output only the weighted graph
clustering coefficient 0.65111741, while the node clustering
coefficients are saved on the file node_clust_w (notice the syntax
2> node_clust_w, which redirects the STDERR to the file
node_clust_w).
clust(1)
(c) Vincenzo 'KatolaZ' Nicosia 2009-2017 <v.nicosia@qmul.ac.uk>.