3 papers
cs.DS2025
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…
cs.DS2025
Near-Optimal Fault-Tolerant Strong Connectivity Preservers
Gary Hoppenworth, Thatchaphol Saranurak, Benyu Wang
A -fault-tolerant connectivity preserver of a directed -vertex graph is a subgraph such that, for any edge set of size , the strongly co…
cs.DS2024
Undirected 3-Fault Replacement Path in Nearly Cubic Time
Shucheng Chi, Ran Duan, Benyu Wang +1
Given a graph and two vertices , the -fault replacement path (FRP) problem computes for every set of edges where , the distance from to…