Jun 2026
Directed Low Diameter Decomposition for Structured Digraphs
This work shows that any directed graph with pathwidth $pw$ admits an $(O(\mathsf{pw}), \Delta)$-LDD, and improves upon the previous best-known $(2^{O(\mathsf{pw}^2)}, \Delta)$-LDD construction, which was implicitly derived from the quasipartition result of Salmasi, Sidiropoulos, and Sridhar [SODA'19].
Shinwoo An, Arnold Filtser
· arXiv.org · 1 citation