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.

References in corpus (11)

• Statistical mechanics of complex networks
• Multilayer Networks
• The structure and dynamics of multilayer networks
• Analyzing and Modeling Real-World Phenomena with Complex Networks: A Survey of Applications
• Line Graphs, Link Partitions and Overlapping Communities
• Beyond word frequency: Bursts, lulls, and scaling in the temporal distributions of words
• Line Graphs of Weighted Networks for Overlapping Communities
• Network properties of written human language
• Classifying informative and imaginative prose using complex networks
• Representation of texts as complex networks: a mesoscopic approach
• On Intersection Graphs of Graphs and Hypergraphs: A Survey