Collaborators and Social Networks

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(a) Illustration of social network structure. Nodes and edges represent scholars and their collaborations, respectively, and are annotated with a list of (co)authored papers classified by field. For example, scholar b has five papers, including four in the computer science (CS) field and one in mathematics. Papers 1 and 2 are coauthored with a, papers 5 and 6 with c, paper 5 with d, and paper 4 is authored solely by b. (b) Explanation diagram of the mechanism for selecting authors by random walk. In paper 7, the first author a is randomly selected, walks to b and c, and stops at d. These four authors, if they have not collaborated before, are connected to each other. The field of CS, which is the main (majority) field of the paper, spreads to collaborators, including d, and expands.