English

Bellman-Ford in Almost-Linear Time for Dense Graphs

Data Structures and Algorithms 2026-02-19 v1

Abstract

We consider the single-source shortest paths problem on a directed graph with real-valued (possibly negative) edge weights and solve this problem in n2+o(1)n^{2+o(1)} time by refining the shortcutting procedure introduced in Li, Li, Rao, and Zhang (2026).

Keywords

Cite

@article{arxiv.2602.16153,
  title  = {Bellman-Ford in Almost-Linear Time for Dense Graphs},
  author = {George Z. Li and Jason Li and Junkai Zhang},
  journal= {arXiv preprint arXiv:2602.16153},
  year   = {2026}
}

Comments

21 pages

R2 v1 2026-07-01T10:40:48.408Z