Derivative of a hypergraph as a tool for linguistic pattern analysis

Abstract: The search for linguistic patterns, stylometry and forensic linguistics have in the theory of complex networks, their structures and associated mathematical tools, allies with which to model and analyze texts. In this paper we present a new model supported by several mathematical structures such as the hypergraphs or the concept of derivative graph to introduce a new methodology able to analyze the mesoscopic relationships between sentences, paragraphs, chapters and texts, focusing not only in a quantitative index but also in a new mathematical structure that will be of singular help to both: detecting the style of an author and determining the language level of a text. In addition, these new mathematical structures may be useful to detect similarity and dissimilarity in texts and, eventually, even plagiarism.