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cs.DS2025

Clustering with Label Consistency

Diptarka Chakraborty, Hendrik Fichtenberger, Bernhard Haeupler +3

Designing efficient, effective, and consistent metric clustering algorithms is a significant challenge attracting growing attention. Traditional approaches focus on the stability o…

cs.DS2025

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

cs.DS2025

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…

cs.DS2025

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…

cs.DS2025

Simple Length-Constrained Expander Decompositions

Greg Bodwin, Bernhard Haeupler, D Ellis Hershkowitz +1

Length-constrained expander decompositions are a new graph decomposition that has led to several recent breakthroughs in fast graph algorithms. Roughly, an -length -expa…

cs.DS2025

Reducing Shortcut and Hopset Constructions to Shallow Graphs

Bernhard Haeupler, Yonggang Jiang, Thatchaphol Saranurak

We introduce a blackbox framework that simplifies all known parallel algorithms with near-linear work for single-source reachability and shortest paths in directed graphs. Specific…