A Ten-mode Social Network of Afghan Society

Network science has become an important tool in the analysis of societies and entities. There has been discussion in the literature about dichotomous two-mode networks and methods to derive the onemode network, but no research have yet contributed to the expansion of this problem and its applications. In this paper, we present a novel advanced mathematical methodology to manipulate multi-mode networks. A network may be represented by a matrix or graph. We focus our study on the matrix approach; we incorporate multi-dimensional tensor analysis to expand on vertex attributes. We utilize linear algebra to derive relational networks from the multi-mode networks. We next discuss a patrimonial/tribal model for the social system of Afghanistan, and finally, we illustrate the application of a ten-mode network to the Afghan social system with methods for reduced mode networks to illustrate special characteristics of that social system.