1. clust(1)
  2. www.complex-networks.net
  3. clust(1)

NAME

clust - Compute the graph and node clustering coefficients

SYNOPSIS

clust graph_in [SHOW]

DESCRIPTION

clust computes the clustering coefficient of the undirected graph given as input in the file graph_in. 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.

PARAMETERS

graph_in

undirected input graph (edge list). If is equal to - (dash), read the edge list from STDIN.

SHOW

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.

OUTPUT

If only graph_in is specified, then the output is a single line, containing the clustering coefficient of the undirected 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.

EXAMPLES

The most simple way of using clust is to compute only the clustering coefficient of a graph. For instance:

      $ clust er_1000_5000.txt 
      0.01034196
      $

will show on output the clustering coefficient of the graph er_1000_5000.txt. In order to obtain the clustering coefficient of all the nodes, we should use:

      $ clust er_1000_5000.txt SHOW 
      0 10 0.0222222
      1 3 0
      2 7 0
      3 5 0
      4 10 0
      5 17 0
      6 14 0
      7 8 0
      8 6 0
      9 11 0
      10 9 0
      11 10 0
      12 13 0.0128205
       ....
      998 10 0.0222222
      999 9 0
      0.01034196
      $

The last line printed on output is still the value of the clustering coefficient of the graph, while the previous 1000 lines (which are printed on STDERR) contain the label, degree, and clustering coefficient of all the nodes. For instance, the first line indicates that node 0 has degree equal to 10 and clustering coefficient equal to 0.0222222. It is more convenient to save the values of node clustering coefficients in a file, e.g.:

      $ clust er_1000_5000.txt SHOW  2> er_1000_5000.txt_node_clust
      0.01034196
      $

In this case, the program prints on output only the graph clustering coefficient 0.01034196, while the node clustering coefficients are saved on the file er_1000_5000.txt_node_clust (notice the syntax 2> er_1000_5000.txt_node_clust, which redirects the STDERR to the file er_1000_5000.txt_node_clust).

SEE ALSO

clust_w(1)

REFERENCES

AUTHORS

(c) Vincenzo 'KatolaZ' Nicosia 2009-2017 <v.nicosia@qmul.ac.uk>.

  1. www.complex-networks.net
  2. September 2017
  3. clust(1)