@article{complexnonbacktrackingmatrixfordirected,
  title = {Complex non-backtracking matrix for directed graphs},
  author = {Keishi Sando and Hideitsu Hino},
  year = {2025},
  eprint = {2507.12503},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2507.12503v1},
}