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/**
* This program is free software: you can redistribute it and/or
* modify it under the terms of the GNU General Public License as
* published by the Free Software Foundation, either version 3 of the
* License, or (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program. If not, see
* <http://www.gnu.org/licenses/>.
*
* (c) Vincenzo Nicosia 2009-2017 -- <v.nicosia@qmul.ac.uk>
*
* This file is part of NetBunch, a package for complex network
* analysis and modelling. For more information please visit:
*
* http://www.complex-networks.net/
*
* If you use this software, please add a reference to
*
* V. Latora, V. Nicosia, G. Russo
* "Complex Networks: Principles, Methods and Applications"
* Cambridge University Press (2017)
* ISBN: 9781107103184
*
***********************************************************************
*
* This program computes the weighted clustering coefficient as
* defined in Barrat, Barthelemy, Pastor-Satorras, Vespignani, PNAS
* 101, 3747 (2004).
*
*/
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include "utils.h"
void usage(char *argv[]){
printf("********************************************************************\n"
"** **\n"
"** -*- clust_w -*- **\n"
"** **\n"
"** Compute the weighted clustering coefficient of 'graph_in' **\n"
"** using the definition proposed by Barrayt, Barthelemy, **\n"
"** Pastor-Satorras and Vespignani. **\n"
"** **\n"
"** The input file 'graph_in' is an edge-list, in the format: **\n"
"** **\n"
"** I_1 J_1 W_1 **\n"
"** I_2 J_2 W_2 **\n"
"** **\n"
"** where W_i is the weight if the edge (I_i, J_i). **\n"
"** **\n"
"** If 'graph_in' is equal to '-' (dash), read the file from **\n"
"** the standard input (STDIN). **\n"
"** **\n"
"** The output is a single line containing the value of the **\n"
"** graph clustering coefficient of 'graph_in'. **\n"
"** **\n"
"** If 'SHOW' is provided as second argument, the program **\n"
"** on the standard error (STDERR) the label, degree, and **\n"
"** node clustering coefficient of all the nodes of 'graph_in' **\n"
"** in the format: **\n"
"** **\n"
"** node_1 k_1 c_1 **\n"
"** node_2 k_2 c_2 **\n"
"** node_3 k_3 c_3 **\n"
"** node_4 k_4 c_4 **\n"
"** ..... **\n"
"** **\n"
"** where 'k_1' is the degree of 'node_1' and 'c_1' is its **\n"
"** node clustering coefficient. If a node has degree smaller **\n"
"** than 2, its clustering coefficient is equal to zero. **\n"
"** **\n"
"********************************************************************\n"
" This is Free Software - You can use and distribute it under \n"
" the terms of the GNU General Public License, version 3 or later\n\n"
" Please visit http://www.complex-networks.net for more information\n\n"
" (c) Vincenzo Nicosia 2009-2017 (v.nicosia@qmul.ac.uk)\n"
"********************************************************************\n\n"
);
printf("Usage: %s <graph_in> [SHOW]\n", argv[0]);
}
double avg_clust_w(unsigned int *J_slap, unsigned int *r_slap, double *W_slap,
unsigned int N, int show){
double c = 0, ci=0, w=0.0;
unsigned int i, j, l, ki;
for(i=0; i<N; i ++){/* for each node i..*/
ci = 0;
ki = r_slap[i+1] - r_slap[i];
for(j=r_slap[i]; j<r_slap[i+1]; j++){/*... pick a neighbour...*/
for (l=r_slap[J_slap[j]]; l<r_slap[J_slap[j]+1]; l++){
/*...and check how many times it has a link to a neighbour of i */
w = get_neigh_weight(J_slap, r_slap, W_slap, N, i, J_slap[l]);
if (J_slap[l] != i && w > 0.0){
ci += (W_slap[j] + w) / 2.0;
}
}
}
if(ki > 1)
ci /= strength(r_slap, W_slap, i) * (ki-1);
else
ci = 0;
if (show)
fprintf(stderr, "%d %d %0.14g\n", i, ki, ci);
c += ci;
}
c /= N;
return c;
}
int main(int argc, char *argv[]){
unsigned int *J_slap=NULL, *r_slap=NULL;
double *W_slap = NULL;
unsigned int K, N;
FILE *filein;
double c;
int show = 0;
if (argc < 2){
printf("Usage: %s <filein> [SHOW]\n", argv[0]);
exit(1);
}
if (argc >2 ){
show = 1;
}
if (!strcmp(argv[1], "-")){
/* take the input from STDIN */
filein = stdin;
}
else {
filein = openfile_or_exit(argv[1], "r", 2);
}
read_slap_w(filein, &K, &N, &J_slap, &r_slap, &W_slap);
fclose(filein);
c = avg_clust_w(J_slap, r_slap, W_slap, N, show);
printf("%2.8lf\n", c);
free(J_slap);
free(r_slap);
free(W_slap);
}
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