Galoitica: Journal of Mathematical Structures and Applications

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Volume 12 , Issue 1 , PP: 24-35, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

Linear-Branch-Decomposition of Digraph

Takaaki Fujita 1 *

  • 1 Independent Researcher, Shinjuku, Shinjuku-ku, Tokyo, Japan - (takaaki.fujita060@gmail.com)
  • Doi: https://doi.org/10.54216/GJMSA.0120104

    Received: November 14, 2024 Revised: December 31, 2024 Accepted: January 27, 2025
    Abstract

    The study of graph width parameters is a well-established field within graph theory. Recently, numerous researchers have been actively extending undirected width parameters to directed graphs, resulting in a wide range of studies on directed width parameters. In this paper, we introduce a new concept called Directed Linear-Branch-Width, which extends the (Undirected) Linear-Branch-Width to digraphs. We also investigate its relationship and hierarchy with Directed Path-width, Directed Cut-width, and Directed Neighbourhood- width

    Keywords :

    Directed Tree-width , Directed Branch-width , Directed Graph , Branch-width , Linear-branch-width

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    Cite This Article As :
    Fujita, Takaaki. Linear-Branch-Decomposition of Digraph. Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , 2025, pp. 24-35. DOI: https://doi.org/10.54216/GJMSA.0120104
    Fujita, T. (2025). Linear-Branch-Decomposition of Digraph. Galoitica: Journal of Mathematical Structures and Applications, (), 24-35. DOI: https://doi.org/10.54216/GJMSA.0120104
    Fujita, Takaaki. Linear-Branch-Decomposition of Digraph. Galoitica: Journal of Mathematical Structures and Applications , no. (2025): 24-35. DOI: https://doi.org/10.54216/GJMSA.0120104
    Fujita, T. (2025) . Linear-Branch-Decomposition of Digraph. Galoitica: Journal of Mathematical Structures and Applications , () , 24-35 . DOI: https://doi.org/10.54216/GJMSA.0120104
    Fujita T. [2025]. Linear-Branch-Decomposition of Digraph. Galoitica: Journal of Mathematical Structures and Applications. (): 24-35. DOI: https://doi.org/10.54216/GJMSA.0120104
    Fujita, T. "Linear-Branch-Decomposition of Digraph," Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , pp. 24-35, 2025. DOI: https://doi.org/10.54216/GJMSA.0120104