Reducing Shortcut and Hopset Constructions to Shallow Graphs
Fuente:
arXiv
Saved in:
| Main Authors: | Haeupler, Bernhard, Jiang, Yonggang, Saranurak, Thatchaphol |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
DAG Projections: Reducing Distance and Flow Problems to DAGs
by: Haeupler, Bernhard, et al.
Published: (2026)
by: Haeupler, Bernhard, et al.
Published: (2026)
Deterministic Negative-Weight Shortest Paths in Nearly Linear Time via Path Covers
by: Haeupler, Bernhard, et al.
Published: (2025)
by: Haeupler, Bernhard, et al.
Published: (2025)
Length-Constrained Directed Expander Decomposition and Length-Constrained Vertex-Capacitated Flow Shortcuts
by: Haeupler, Bernhard, et al.
Published: (2025)
by: Haeupler, Bernhard, et al.
Published: (2025)
Dynamic Deterministic Constant-Approximate Distance Oracles with $n^ε$ Worst-Case Update Time
by: Haeupler, Bernhard, et al.
Published: (2024)
by: Haeupler, Bernhard, et al.
Published: (2024)
Parallel $(1+ε)$-Approximate Multi-Commodity Mincost Flow in Almost Optimal Depth and Work
by: Haeupler, Bernhard, et al.
Published: (2025)
by: Haeupler, Bernhard, et al.
Published: (2025)
A Constant-Approximation Distance Labeling Scheme under Polynomially Many Edge Failures
by: Haeupler, Bernhard, et al.
Published: (2026)
by: Haeupler, Bernhard, et al.
Published: (2026)
Reviving Thorup's Shortcut Conjecture
by: Bernstein, Aaron, et al.
Published: (2025)
by: Bernstein, Aaron, et al.
Published: (2025)
Low-Step Multi-Commodity Flow Emulators
by: Haeupler, Bernhard, et al.
Published: (2024)
by: Haeupler, Bernhard, et al.
Published: (2024)
Deterministic Vertex Connectivity via Common-Neighborhood Clustering and Pseudorandomness
by: Jiang, Yonggang, et al.
Published: (2025)
by: Jiang, Yonggang, et al.
Published: (2025)
Approximating Directed Minimum Cut and Arborescence Packing via Directed Expander Hierarchies
by: Jiang, Yonggang, et al.
Published: (2025)
by: Jiang, Yonggang, et al.
Published: (2025)
Combinatorial Maximum Flow via Weighted Push-Relabel on Shortcut Graphs
by: Bernstein, Aaron, et al.
Published: (2025)
by: Bernstein, Aaron, et al.
Published: (2025)
Better Diameter Bounds for Efficient Shortcuts and a Structural Criterion for Constructiveness
by: Haeupler, Bernhard, et al.
Published: (2026)
by: Haeupler, Bernhard, et al.
Published: (2026)
Connectivity Oracle Under Vertex Failures by Shortcutting Unbreakable Decomposition
by: Li, Xizhe, et al.
Published: (2026)
by: Li, Xizhe, et al.
Published: (2026)
Local Sherman's Algorithm for Multi-commodity Flow
by: Li, Jason, et al.
Published: (2025)
by: Li, Jason, et al.
Published: (2025)
Decremental $(1+ε)$-Approximate Maximum Eigenvector: Dynamic Power Method
by: Adil, Deeksha, et al.
Published: (2024)
by: Adil, Deeksha, et al.
Published: (2024)
Closing the Gap Between Directed Hopsets and Shortcut Sets
by: Bernstein, Aaron, et al.
Published: (2022)
by: Bernstein, Aaron, et al.
Published: (2022)
Greedy Algorithms for Shortcut Sets and Hopsets
by: Bals, Ben, et al.
Published: (2025)
by: Bals, Ben, et al.
Published: (2025)
Near-Optimal Fault-Tolerant Strong Connectivity Preservers
by: Hoppenworth, Gary, et al.
Published: (2025)
by: Hoppenworth, Gary, et al.
Published: (2025)
All-Subsets Important Separators with Applications to Sample Sets, Balanced Separators and Vertex Sparsifiers in Directed Graphs
by: Anand, Aditya, et al.
Published: (2025)
by: Anand, Aditya, et al.
Published: (2025)
Expander Decomposition with Almost Optimal Overhead
by: Bansal, Nikhil, et al.
Published: (2026)
by: Bansal, Nikhil, et al.
Published: (2026)
Dynamic $(1+ε)$-Approximate Matching Size in Truly Sublinear Update Time
by: Bhattacharya, Sayan, et al.
Published: (2023)
by: Bhattacharya, Sayan, et al.
Published: (2023)
Connectivity Labeling Schemes for Edge and Vertex Faults via Expander Hierarchies
by: Long, Yaowei, et al.
Published: (2024)
by: Long, Yaowei, et al.
Published: (2024)
Deterministic Edge Connectivity and Max Flow using Subquadratic Cut Queries
by: Anand, Aditya, et al.
Published: (2024)
by: Anand, Aditya, et al.
Published: (2024)
Expander Pruning with Polylogarithmic Worst-Case Recourse and Update Time
by: Meierhans, Simon, et al.
Published: (2025)
by: Meierhans, Simon, et al.
Published: (2025)
Cactus Representation of Minimum Cuts: Derandomize and Speed up
by: He, Zhongtian, et al.
Published: (2024)
by: He, Zhongtian, et al.
Published: (2024)
Space Complexity of Vertex Connectivity Oracles
by: Pettie, Seth, et al.
Published: (2022)
by: Pettie, Seth, et al.
Published: (2022)
Separations between Oblivious and Adaptive Adversaries for Natural Dynamic Graph Problems
by: Bernstein, Aaron, et al.
Published: (2025)
by: Bernstein, Aaron, et al.
Published: (2025)
Deterministic Dynamic Maximal Matching in Sublinear Update Time
by: Bernstein, Aaron, et al.
Published: (2025)
by: Bernstein, Aaron, et al.
Published: (2025)
Chasing Positive Bodies
by: Bhattacharya, Sayan, et al.
Published: (2023)
by: Bhattacharya, Sayan, et al.
Published: (2023)
Approximating Small Sparse Cuts
by: Anand, Aditya, et al.
Published: (2024)
by: Anand, Aditya, et al.
Published: (2024)
Finding Most Shattering Minimum Vertex Cuts of Polylogarithmic Size in Near-Linear Time
by: Hua, Kevin, et al.
Published: (2024)
by: Hua, Kevin, et al.
Published: (2024)
Disjoint Paths in Expanders in Deterministic Almost-Linear Time via Hypergraph Perfect Matching
by: Bucić, Matija, et al.
Published: (2025)
by: Bucić, Matija, et al.
Published: (2025)
Maximum Flow by Augmenting Paths in $n^{2+o(1)}$ Time
by: Bernstein, Aaron, et al.
Published: (2024)
by: Bernstein, Aaron, et al.
Published: (2024)
Parallel and Distributed Expander Decomposition: Simple, Fast, and Near-Optimal
by: Chen, Daoyuan, et al.
Published: (2024)
by: Chen, Daoyuan, et al.
Published: (2024)
Parallel Reachability and Shortest Paths on Non-sparse Digraphs: Near-linear Work and Sub-square-root Depth
by: Ashvinkumar, Vikrant, et al.
Published: (2026)
by: Ashvinkumar, Vikrant, et al.
Published: (2026)
Low Sensitivity Hopsets
by: Ashvinkumar, Vikrant, et al.
Published: (2024)
by: Ashvinkumar, Vikrant, et al.
Published: (2024)
Maintaining Random Assignments under Adversarial Dynamics
by: Haeupler, Bernhard, et al.
Published: (2026)
by: Haeupler, Bernhard, et al.
Published: (2026)
Unbreakable Decomposition in Close-to-Linear Time
by: Anand, Aditya, et al.
Published: (2024)
by: Anand, Aditya, et al.
Published: (2024)
Shortcuts and Transitive-Closure Spanners Approximation
by: Chalermsook, Parinya, et al.
Published: (2025)
by: Chalermsook, Parinya, et al.
Published: (2025)
A Unified Framework for Hopsets and Spanners
by: Neiman, Ofer, et al.
Published: (2021)
by: Neiman, Ofer, et al.
Published: (2021)
Similar Items
-
DAG Projections: Reducing Distance and Flow Problems to DAGs
by: Haeupler, Bernhard, et al.
Published: (2026) -
Deterministic Negative-Weight Shortest Paths in Nearly Linear Time via Path Covers
by: Haeupler, Bernhard, et al.
Published: (2025) -
Length-Constrained Directed Expander Decomposition and Length-Constrained Vertex-Capacitated Flow Shortcuts
by: Haeupler, Bernhard, et al.
Published: (2025) -
Dynamic Deterministic Constant-Approximate Distance Oracles with $n^ε$ Worst-Case Update Time
by: Haeupler, Bernhard, et al.
Published: (2024) -
Parallel $(1+ε)$-Approximate Multi-Commodity Mincost Flow in Almost Optimal Depth and Work
by: Haeupler, Bernhard, et al.
Published: (2025)