Deterministic Padded Decompositions and Negative-Weight Shortest Paths

Fuente: arXiv
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1. Verfasser: Li, Jason
Format: Preprint
Veröffentlicht: 2025
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author Li, Jason
author_facet Li, Jason
contents We obtain the first near-linear time deterministic algorithm for negative-weight single-source shortest paths on integer-weighted graphs. Our main ingredient is a deterministic construction of a padded decomposition on directed graphs, which may be of independent interest.
format Preprint
id arxiv_https___arxiv_org_abs_2511_07859
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Deterministic Padded Decompositions and Negative-Weight Shortest Paths
Li, Jason
Data Structures and Algorithms
We obtain the first near-linear time deterministic algorithm for negative-weight single-source shortest paths on integer-weighted graphs. Our main ingredient is a deterministic construction of a padded decomposition on directed graphs, which may be of independent interest.
title Deterministic Padded Decompositions and Negative-Weight Shortest Paths
topic Data Structures and Algorithms
url https://arxiv.org/abs/2511.07859