De Graph-Theorie als Formeel Analysemodel voor het Beschrijven van Machts-en Invloedsstrukturen
In: Acta politica: AP ; international journal of political science ; official journal of the Dutch Political Science Association (Nederlandse Kring voor Wetenschap der Politiek), Band 8, Heft 2, S. 153-203
ISSN: 0001-6810
An attempt to show how digraph-theory may be utilized in developing a soc network-theory, esp in the field of local power & influence. Some of the ways are indicated in which digraph-theory, which serves as a descriptive-explicative mathematical model, can be used to analyze componenets of theory of local power. Power is conceptualized as a system of SR. This presupposes in every local community a certain network of exchange ties. A mathematical description is sought of some of the properties of such a power-network. A mathematical model is used in the sense of a collection of definitions. The theory of graphs as a mathematical model in the study of local power configurations is, at least in the beginning, a descriptive theory of power structures. In a descriptive model based on the theory of graphs the power configuration (made of local influentials & the set of relationships among them) is conceptualized as a graph (a directed, possibly valued, multi-graph). When this is done, theorems about the graph, which is assumed to be isomorphic to the power configuration, can be translated into corresponding statements about the power structure. In this context the validation of such statements is a purely logical validation, a consequence of the assumed isomorphy between the graph & the power configuration. This descriptive approach is presented here. 27 Figures. Modified HA.