Structure and collaboration relationship analysis in a scientific collaboration network

We construct a weighted network of scientific collaboration in computational geometry and study the statistical properties of the network. In addition, we introduce a parameter called the collaboration relationship parameter to measure the collaboration between scientists. The collaboration relationship parameter of two scientists depends not only on the connection weights between the nodes, but also on the network’s structure. The stability of the network’s structure in terms of different edge removal strategies is also studied. According to the parameter, we find that a community structure exists in this type of network.