On Directed Graph Models on Influences in Art Theory

• Autores: Juliusz A. Chroscicki, Vladimir P. Odinec
• Localización: Artibus et historiae: an art anthology, ISSN 0391-9064, Nº. 3, 1981, págs. 113-130
• Idioma: inglés
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• Resumen

  • The problem of reciprocal influence of works of art is of fundamental significance for a theory of art. Using the research of George Kubler, O. Ore, G.

    Hermeren, Mieczysław Porębski 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 19th 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.