Can anyone tell me how to make a cooperation network graph for a bibliometric study?

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Tom Broekel

All you need to do is create the so-called edgeless consisting of author names (column 1) and the corresponding article ID in column 2. You can simply import that into a network software (ucinet, gephi, R) make a a one-mode projection (or data is bipartite / two-mode) and plot the resulting author-author network (or paper - paper network).

Rizwan Ullah

There is a free software VOS viewer i have used it and it will be best for you

I have used it for few of my bibliometric papers