A (Slightly) Improved Approximation Algorithm for Metric TSP
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Abstract (arXiv)
For some ε > 10-36 we give a randomized 3/2-ε approximation algorithm for metric TSP.
Key facts. Cited by 13 papers in the map (data through 7 Oct 2026). First posted on arXiv 2 Jul 2020.
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Citing papers per year: 2021: 1; 2022: 2; 2023: 1; 2024: 1; 2025: 3; 2026: 5.
13 papers.
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- 2023Neural Algorithmic Reasoning for Combinatorial Optimisationcited by 19
- 2025FrontierCO: Real-World and Large-Scale Evaluation of Machine Learning Solvers for Combinatorial Optimizationcited by 10
- 2022Optimal Sublinear Sampling of Spanning Trees and Determinantal Point Processes via Average-Case Entropic Independencecited by 8
- 2025Reinforced Generation of Combinatorial Structures: Hardness of Approximationcited by 8
- 2021Set-to-Sequence Methods in Machine Learning: a Reviewcited by 6
- 2024Learning-Based Algorithms for Graph Searching Problemscited by 4
- 2022On Cyclic Solutions to the Min-Max Latency Multi-Robot Patrolling Problemcited by 2
- 2025Navigating Intelligence: A Survey of Google OR-Tools and Machine Learning for Global Path Planning in Autonomous Vehiclescited by 1
- 2026Graph Neural Networks are Heuristicscited by 1
- 2026TSP with Predictions: Heatmap to Tour with Provable Guaranteescited by 0
- 2026Recycling computational processes of dynamic programming for combinatorial optimization problems: a reservoir computing approachcited by 0
- 2026On the Triangle Inequality for the Jaccard Distance in Arbitrary Latticescited by 0
1 more
- 2026Self-Supervised Combinatorial Optimization with Constraints via Frank-Wolfe22 Sep 2026
- 2026On the Triangle Inequality for the Jaccard Distance in Arbitrary Lattices18 Aug 2026
- 2026Recycling computational processes of dynamic programming for combinatorial optimization problems: a reservoir computing approach25 Jul 2026
- 2026TSP with Predictions: Heatmap to Tour with Provable Guarantees4 Jul 2026
- 2026Graph Neural Networks are Heuristics19 Jan 2026
- 2025Reinforced Generation of Combinatorial Structures: Hardness of Approximation22 Sep 2025
- 2025FrontierCO: Real-World and Large-Scale Evaluation of Machine Learning Solvers for Combinatorial Optimization22 May 2025
- 2025Navigating Intelligence: A Survey of Google OR-Tools and Machine Learning for Global Path Planning in Autonomous Vehicles5 Mar 2025
- 2024Learning-Based Algorithms for Graph Searching Problems27 Feb 2024
- 2023Neural Algorithmic Reasoning for Combinatorial Optimisation18 May 2023
- 2022Optimal Sublinear Sampling of Spanning Trees and Determinantal Point Processes via Average-Case Entropic Independence6 Apr 2022
- 2022On Cyclic Solutions to the Min-Max Latency Multi-Robot Patrolling Problem14 Mar 2022
1 more
- 2021Set-to-Sequence Methods in Machine Learning: a Review17 Mar 2021
- 2023Neural Algorithmic Reasoning for Combinatorial Optimisationcited by 19
- 2025FrontierCO: Real-World and Large-Scale Evaluation of Machine Learning Solvers for Combinatorial Optimizationcited by 10
- 2022Optimal Sublinear Sampling of Spanning Trees and Determinantal Point Processes via Average-Case Entropic Independencecited by 8
- 2025Reinforced Generation of Combinatorial Structures: Hardness of Approximationcited by 8
- 2021Set-to-Sequence Methods in Machine Learning: a Reviewcited by 6
- 2024Learning-Based Algorithms for Graph Searching Problemscited by 4
- 2022On Cyclic Solutions to the Min-Max Latency Multi-Robot Patrolling Problemcited by 2
- 2026Graph Neural Networks are Heuristicscited by 1
- 2026TSP with Predictions: Heatmap to Tour with Provable Guaranteescited by 0
- 2026Recycling computational processes of dynamic programming for combinatorial optimization problems: a reservoir computing approachcited by 0
- 2026On the Triangle Inequality for the Jaccard Distance in Arbitrary Latticescited by 0
- 2026Self-Supervised Combinatorial Optimization with Constraints via Frank-Wolfecited by 0
- 2026Self-Supervised Combinatorial Optimization with Constraints via Frank-Wolfe22 Sep 2026
- 2026On the Triangle Inequality for the Jaccard Distance in Arbitrary Lattices18 Aug 2026
- 2026Recycling computational processes of dynamic programming for combinatorial optimization problems: a reservoir computing approach25 Jul 2026
- 2026TSP with Predictions: Heatmap to Tour with Provable Guarantees4 Jul 2026
- 2026Graph Neural Networks are Heuristics19 Jan 2026
- 2025Reinforced Generation of Combinatorial Structures: Hardness of Approximation22 Sep 2025
- 2025FrontierCO: Real-World and Large-Scale Evaluation of Machine Learning Solvers for Combinatorial Optimization22 May 2025
- 2024Learning-Based Algorithms for Graph Searching Problems27 Feb 2024
- 2023Neural Algorithmic Reasoning for Combinatorial Optimisation18 May 2023
- 2022Optimal Sublinear Sampling of Spanning Trees and Determinantal Point Processes via Average-Case Entropic Independence6 Apr 2022
- 2022On Cyclic Solutions to the Min-Max Latency Multi-Robot Patrolling Problem14 Mar 2022
- 2021Set-to-Sequence Methods in Machine Learning: a Review17 Mar 2021