Graph-Theoretic Models for the Holistic Analysis of Actor-Networks with Emergent Properties

This paper presents the results of a research in modeling a concept of a black box and a mechanism of translation in sociotechnical actor-networks with emergent properties based on the extended and powerful formalisms of hypergraphs, directed hypergraphs, hypernetworks, metagraphs, and nested metagraphs. We introduce graph-theoretical models that allow for systemic studies and holistic analysis of actor-networks using rich mathematical apparatus of a set theory. The main object of the research are actor-networks in Science and Technology Studies. We hope that our contribution to the arsenal of graphical presentation tools and rigorous mathematical models for actor-network analysis will encourage the transition from qualitative to quantitative studies and the wider practical application of actor-network theory.