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Enriched line graph: A new structure for searching language collocations

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  • Criado-Alonso, Ángeles
  • Battaner-Moro, Elena
  • Aleja, David
  • Romance, Miguel
  • Criado, Regino

Abstract

The specific terminology of a specialty language comes, essentially, from specific uses of already existing words and/or from specific combinations of words so called “collocations”. In this work we introduce a new mathematical structure (enriched line graph) and a new methodology to extract properties and characteristics of a type of multilayer linguistic networks associated with these types of languages. Specifically, this work is focused on the description of a methodology based on a variant of the PageRank algorithm to locate the linguistic collocations and on defining a new structure (enriched line graph) that can be interpreted as a certain type of “interpolation” between the original graph and its associated line graph, showing new results, properties and applications of this concept, and, in particular, certain characteristics of the specialty language produced by the scientific community of complex networks.

Suggested Citation

  • Criado-Alonso, Ángeles & Battaner-Moro, Elena & Aleja, David & Romance, Miguel & Criado, Regino, 2021. "Enriched line graph: A new structure for searching language collocations," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    • Handle: RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920309012
    DOI: 10.1016/j.chaos.2020.110509
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    References listed on IDEAS

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    5. Jay Bagga, 2004. "Old and new generalizations of line graphs," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-13, January.
    6. Aleja, David & Criado, Regino & García del Amo, Alejandro J. & Pérez, Ángel & Romance, Miguel, 2019. "Non-backtracking PageRank: From the classic model to hashimoto matrices," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 283-291.
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    Cited by:

    1. Rasul Kochkarov, 2021. "Research of NP-Complete Problems in the Class of Prefractal Graphs," Mathematics, MDPI, vol. 9(21), pages 1-20, October.
    2. Rasul Kochkarov & Azret Kochkarov, 2022. "Introduction to the Class of Prefractal Graphs," Mathematics, MDPI, vol. 10(14), pages 1-17, July.
    3. Criado-Alonso, Ángeles & Aleja, David & Romance, Miguel & Criado, Regino, 2022. "Derivative of a hypergraph as a tool for linguistic pattern analysis," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).

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