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Approximation algorithms for the traveling salesman problem

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-46541-3_32openalex-snapshot
An Improved Lower Bound on the Approximability of Metric TSP and Approximation Algorithms for the TSP with Sharpened Triangle Inequality
inferredcites →https://doi.org/10.1007/3-540-48224-5_17openalex-snapshot
Approximation Hardness of TSP with Bounded Metrics
inferredcites →https://doi.org/10.1007/bf01581085openalex-snapshot
Approximation algorithms for indefinite quadratic programming
inferredcites →https://doi.org/10.1007/bf01585569openalex-snapshot
The complexity of approximating a nonlinear program
inferredcites →https://doi.org/10.1007/s00493-006-0008-zopenalex-snapshot
On The Approximability Of The Traveling Salesman Problem
inferredcites →https://doi.org/10.1016/0020-0190(94)00184-zopenalex-snapshot
A note on the complexity of local search problems
inferredcites →https://doi.org/10.1016/0022-0000(80)90046-xopenalex-snapshot
Structure preserving reductions among convex optimization problems
inferredcites →https://doi.org/10.1016/0304-3975(80)90006-7openalex-snapshot
Toward a unified approach for the classification of NP-complete optimization problems
inferredcites →https://doi.org/10.1016/0304-3975(95)00060-7openalex-snapshot
On an approximation measure founded on the links between optimization and polynomial approximation theory
inferredcites →https://doi.org/10.1016/s0020-0190(00)00089-2openalex-snapshot
Approximation algorithms for the TSP with sharpened triangle inequality
inferredcites →https://doi.org/10.1016/s0304-3975(97)00099-6openalex-snapshot
Differential approximation algorithms for some combinatorial optimization problems
inferredcites →https://doi.org/10.1023/a:1014923704338openalex-snapshot
Approximation Algorithms for Pick-and-Place Robots
inferredcites →https://doi.org/10.1051/ita:2000115openalex-snapshot
Improved Lower Bounds on the Approximability of the Traveling Salesman Problem
inferredcites →https://doi.org/10.1137/s0895480192240226openalex-snapshot
Performance Guarantees for Approximation Algorithms Depending on Parametrized Triangle Inequalities
inferredcites →https://doi.org/10.1142/9789814354363_0002openalex-snapshot
The Complexity of Approximating a Nonlinear Program
inferredcites →https://doi.org/10.1145/321958.321975openalex-snapshot
P-Complete Approximation Problems
inferredcites →https://doi.org/10.1287/mnsc.25.8.808openalex-snapshot
Note—On “Location of Bank Accounts to Optimize Float: An Analytic Study of Exact and Approximate Algorithms”
inferredcites →https://doi.org/10.1287/moor.18.1.1openalex-snapshot
The Traveling Salesman Problem with Distances One and Two
inferredcites →https://doi.org/10.1287/moor.6.3.319openalex-snapshot
Measuring the Quality of Approximate Solutions to Zero-One Programming Problems
inferredcites →https://doi.org/10.1287/opre.21.2.498openalex-snapshot
An Effective Heuristic Algorithm for the Traveling-Salesman Problem
inferredcites →https://doi.org/10.1287/opre.27.4.799openalex-snapshot
An Analysis of Approximations for Finding a Maximum Weight Hamiltonian Circuit
inferredcites →https://doi.org/10.1287/opre.6.6.791openalex-snapshot
A Method for Solving Traveling-Salesman Problems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Approximation of Multi‐criteria Min and MaxTSP(1, 2)
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Polynomial Approximation
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The Traveling Salesman Problem and its Variations
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General Bibliography
inferred← citeshttps://doi.org/10.1002/9781119005353.ch11openalex-snapshot
Polynomial Approximation
inferred← citeshttps://doi.org/10.1002/9781119005353.ch7openalex-snapshot
The Traveling Salesman Problem and its Variations
inferred← citeshttps://doi.org/10.1007/978-3-030-31489-7_1openalex-snapshot
Combining Local Search and Elicitation for Multi-Objective Combinatorial Optimization
inferred← citeshttps://doi.org/10.1007/978-3-031-20350-3_19openalex-snapshot
A 3/4 Differential Approximation Algorithm for Traveling Salesman Problem
inferred← citeshttps://doi.org/10.1007/978-3-540-45138-9_12openalex-snapshot
Completeness in Differential Approximation Classes
inferred← citeshttps://doi.org/10.1007/978-3-642-13731-0_13openalex-snapshot
A 3/2-Approximation Algorithm for Multiple Depot Multiple Traveling Salesman Problem
inferred← citeshttps://doi.org/10.1007/978-3-642-32147-4_36openalex-snapshot
Differential Approximation of the Multiple Stacks TSP
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A two-module automated scanning inspection planning methodology for hole features on image measuring instrument
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TSP-TET: A variant of the traveling salesman problem with task execution at each site
inferred← citeshttps://doi.org/10.1016/j.asoc.2017.06.049openalex-snapshot
A modified ant system to achieve better balance between intensification and diversification for the traveling salesman problem
inferred← citeshttps://doi.org/10.1016/j.asoc.2026.115379openalex-snapshot
Adaptive heuristic for routing problems via integrated self-attention and convolution in deep reinforcement learning
inferred← citeshttps://doi.org/10.1016/j.cosrev.2009.11.001openalex-snapshot
A survey on the structure of approximation classes
inferred← citeshttps://doi.org/10.1016/j.ejor.2016.08.054openalex-snapshot
An extension of the Christofides heuristic for the generalized multiple depot multiple traveling salesmen problem
inferred← citeshttps://doi.org/10.1016/j.ifacol.2025.09.236openalex-snapshot
Industrial application of the Bipartite TSP in robotic pick-and-place operations
inferred← citeshttps://doi.org/10.1016/j.jocs.2024.102424openalex-snapshot
Quasi-linear time heuristic to solve the Euclidean traveling salesman problem with low gap
inferred← citeshttps://doi.org/10.1016/j.orl.2011.03.002openalex-snapshot
An analysis of the extended Christofides heuristic for the -depot TSP
inferred← citeshttps://doi.org/10.1016/j.tcs.2008.01.002openalex-snapshot
A better differential approximation ratio for symmetric TSP
inferred← citeshttps://doi.org/10.1016/j.tcs.2025.115435openalex-snapshot
A 3/4 differential approximation algorithm for traveling salesman problem
inferred← citeshttps://doi.org/10.1016/s0304-3975(03)00376-1openalex-snapshot
Approximating the Pareto curve with local search for the bicriteria TSP(1,2) problem
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Optimising robotic pick-and-place operations and the application of RMS principles
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The intelligent Computer Aided Satellite Designer iCASD - Creating viable configurations for modular satellites
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Reducing Training Time in Cross-Silo Federated Learning using Multigraph Topology
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Quantum Computing and Optimization through QUBO in Education: A Case Study on Efficient Multi-agent Route Planning
inferred← citeshttps://doi.org/10.1109/iros40897.2019.8968113openalex-snapshot
Optimal Solving of Constrained Path-Planning Problems with Graph Convolutional Networks and Optimized Tree Search
inferred← citeshttps://doi.org/10.1109/iv51971.2022.9827020openalex-snapshot
Deep Federated Learning for Autonomous Driving
inferred← citeshttps://doi.org/10.1109/tits.2019.2949267openalex-snapshot
Energy-Efficient Timely Truck Transportation for Geographically-Dispersed Tasks
inferred← citeshttps://doi.org/10.1137/21m146199xopenalex-snapshot
The Approximation Ratio of the k -Opt Heuristic for the Euclidean Traveling Salesman Problem
inferred← citeshttps://doi.org/10.1142/s0129054105003807openalex-snapshot
COMPLETENESS IN DIFFERENTIAL APPROXIMATION CLASSES
inferred← citeshttps://doi.org/10.1145/3208903.3208911openalex-snapshot
Energy-Efficient Timely Truck Transportation for Geographically-Dispersed Tasks
inferred← citeshttps://doi.org/10.1201/9781420010749.ch16openalex-snapshot
Differential Ratio Approximation
inferred← citeshttps://doi.org/10.1287/ijoc.2015.0650openalex-snapshot
A 3/2-Approximation Algorithm for the Multiple TSP with a Fixed Number of Depots
inferred← citeshttps://doi.org/10.2298/yjor0901003popenalex-snapshot
An overview on polynomial approximation of NP-hard problems
inferred← citeshttps://doi.org/10.23919/apnoms56106.2022.9919905openalex-snapshot
GCN-Based Topology Design for Decentralized Federated Learning in IoV
inferred← citeshttps://doi.org/10.2478/qic-2025-0028openalex-snapshot
Implementation of Quantum Fourier Transform and Quantum Hashing for Quantum Devices with Arbitrary Qubit Connectivity Graphs
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A Comparative Analysis of Computational Intelligence Methods for Autonomous Navigation of Smart Ships
inferred← citeshttps://doi.org/10.3390/ijgi10090616openalex-snapshot
Indoor Traveling Salesman Problem (ITSP) Path Planning
inferred← citeshttps://doi.org/10.4018/ijisscm.2014010105openalex-snapshot
Review of Solution Approaches for the Symmetric Traveling Salesman Problem
inferred← citeshttps://doi.org/10.48550/arxiv.2010.12229openalex-snapshot
Throughput-Optimal Topology Design for Cross-Silo Federated Learning
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Parallel Approach for Optimized Travelling Salesman Problem using GPU
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