9 papers
DAG Projections: Reducing Distance and Flow Problems to DAGs
Bernhard Haeupler, Yonggang Jiang, Thatchaphol Saranurak
We show that every directed graph with vertices and edges admits a directed acyclic graph (DAG) with edges, called a DAG projection, that can either $(1+1/…
The Complexity of Distributed Minimum Weight Cycle Approximation
Yi-Jun Chang, Yanyu Chen, Dipan Dey +4
We study the Minimum Weight Cycle (MWC) problem in the model of distributed computing. For undirected weighted graphs, we give a randomized -approximation…
Approximating Directed Minimum Cut and Arborescence Packing via Directed Expander Hierarchies
Yonggang Jiang, Yaowei Long, Thatchaphol Saranurak +1
We give almost-linear-time algorithms for approximating rooted minimum cut and maximum arborescence packing in directed graphs, two problems that are dual to each other [Edm73]. Mo…
Deterministic Negative-Weight Shortest Paths in Nearly Linear Time via Path Covers
Bernhard Haeupler, Yonggang Jiang, Thatchaphol Saranurak
We present the first deterministic nearly-linear time algorithm for single-source shortest paths with negative edge weights on directed graphs: given a directed graph with …
Reviving Thorup's Shortcut Conjecture
Aaron Bernstein, Henry Fleischmann, Maximilian Probst Gutenberg +7
We aim to revive Thorup's conjecture [Thorup, WG'92] on the existence of reachability shortcuts with ideal size-diameter tradeoffs. Thorup originally asked whether, given any graph…
Parallel -Approximate Multi-Commodity Mincost Flow in Almost Optimal Depth and Work
Bernhard Haeupler, Yonggang Jiang, Yaowei Long +2
We present a parallel algorithm for computing -approximate mincost flow on an undirected graph with edges, where capacities and costs are assigned to both edges and vert…