Studying characteristics of various aspects of the scientific collaboration potentially constitutes a significant contribution towards understanding the structure and dynamics of social interactions, but it first of all is of great importance for an efficient stimulation of the future science development. Quantifying properties of the scientific collaboration networks in an informative and transparent way becomes highly facilitated thanks to great advances in the field of network theory. Most of the existing related works study the global properties of the collaboration networks, including their evolutionary aspects, or occasionally, point to the individual country contribution. Fewer works focus on characteristics of the selected scientists in their creative role and of the range of their influence in the collaboration network. In order to make this issue and the related characteristics even more exposed, here, for several world most outstanding scholar figures working in the domain of econo- and sociophysics, we generate their collaboration networks based on all their published works listed by the Web_of_Science. We then study the hierarchical organization of these networks, identify their central hubs and sub-hubs, and quantify the related principal network characteristics. Based on the general concept of the preferencial attachment we also develop a model that allows to relate various quantitative aspects of such networks and in particular, to establish condition for their ballanced growth. 

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