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The t -Graphs over Finitely Generated Groups and the Minkowski Metric

Author

Listed:
  • Gabriela Diaz-Porto

    (Department of Mathematics, Universidad del Norte, Km 5 via a Puerto Colombia, Barranquilla 081007, Colombia)

  • Ismael Gutierrez

    (Department of Mathematics, Universidad del Norte, Km 5 via a Puerto Colombia, Barranquilla 081007, Colombia)

  • Armando Torres-Grandisson

    (Department of Mathematics, Universidad del Norte, Km 5 via a Puerto Colombia, Barranquilla 081007, Colombia)

Abstract

In this paper, we introduce t -graphs defined on finitely generated groups. We study some general aspects of the t -graphs on two-generator groups, emphasizing establishing necessary conditions for their connectedness. In particular, we investigate properties of t -graphs defined on finite dihedral groups.

Suggested Citation

  • Gabriela Diaz-Porto & Ismael Gutierrez & Armando Torres-Grandisson, 2022. "The t -Graphs over Finitely Generated Groups and the Minkowski Metric," Mathematics, MDPI, vol. 10(17), pages 1-12, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:17:p:3030-:d:895196
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    References listed on IDEAS

    as
    1. Andrea Lucchini & Daniele Nemmi, 2021. "The non‐F graph of a finite group," Mathematische Nachrichten, Wiley Blackwell, vol. 294(10), pages 1912-1921, October.
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    Cited by:

    1. Irina Cristea & Hashem Bordbar, 2023. "Preface to the Special Issue “Algebraic Structures and Graph Theory”," Mathematics, MDPI, vol. 11(15), pages 1-4, July.

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