English

Verifying Shortest Paths in Linear Time

Data Structures and Algorithms 2024-12-10 v1

Abstract

In this paper we propose a linear-time certifying algorithm for the single-source shortest-path problem capable of verifying graphs with positive, negative, and zero arc weights. Previously proposed linear-time approaches only work for graphs with positive arc weights.

Keywords

Cite

@article{arxiv.2412.06121,
  title  = {Verifying Shortest Paths in Linear Time},
  author = {Ahmed Shokry and Amr Elmasry and Ayman Khalafallah and Amr Aly},
  journal= {arXiv preprint arXiv:2412.06121},
  year   = {2024}
}
R2 v1 2026-06-28T20:27:18.775Z