aspg-33-3851-1792223571 20261017075251 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 2025 12 1 Takaaki Fujita Independent Researcher, Shinjuku, Shinjuku-ku, Tokyo, Japan 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 2025 24 35 3851 https://creativecommons.org/licenses/by/4.0/ 10.54216/GJMSA.0120104 https://americaspg.com/journal/33/article/3851 https://americaspg.com/storage/21746789426.pdf