On Directed Graph Models on Influences in Art Theory

The problem of reciprocal influence of works of art is of fondamental significance for a theory of art. Using the research of George Kubler, O. Ore, G. Hermerén, Mieczysław Porȩbski and others, we suggest a wide use of a model of these influences of works of art based on the mathematical theory of directed graphs. It's worth mentioning that art historians were using without knowing it models of influences already in the XIX century. To understand our model it has been necessary to invent new terminology, for example: "power of similarity", "rivers and streams of influences "and" reconstructed overgraphs of influences". The presented model may be useful in any historical study.