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Improvements of the Held—Karp algorithm for the symmetric traveling-salesman problem

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

inferredcites →https://doi.org/10.1002/j.1538-7305.1957.tb01515.xopenalex-snapshot
Shortest Connection Networks And Some Generalizations
inferredcites →https://doi.org/10.1007/bf01386390openalex-snapshot
A note on two problems in connexion with graphs
inferredcites →https://doi.org/10.1007/bf01584070openalex-snapshot
The traveling-salesman problem and minimum spanning trees: Part II
inferredcites →https://doi.org/10.1090/s0002-9939-1956-0078686-7openalex-snapshot
On the shortest spanning subtree of a graph and the traveling salesman problem
inferredcites →https://doi.org/10.1145/362736.362753openalex-snapshot
Increasing the efficiency of quicksort
inferredcites →https://doi.org/10.1145/362790.362803openalex-snapshot
Algorithms 402: Increasing the efficiency of quicksort
inferredcites →https://doi.org/10.1287/opre.18.6.1138openalex-snapshot
The Traveling-Salesman Problem and Minimum Spanning Trees

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

inferred← citeshttps://doi.org/10.1002/9781118627372.refsopenalex-snapshot
References
inferred← citeshttps://doi.org/10.1002/nav.3800300107openalex-snapshot
The traveling salesman problem: An update of research
inferred← citeshttps://doi.org/10.1002/net.3230110209openalex-snapshot
Combinatorial optimization and vehicle fleet planning: Perspectives and prospects
inferred← citeshttps://doi.org/10.1002/net.3230220204openalex-snapshot
Optimal routing and process scheduling for a mobile service facility
inferred← citeshttps://doi.org/10.1002/rsa.20706openalex-snapshot
Separating subadditive euclidean functionals
inferred← citeshttps://doi.org/10.1007/3-540-07623-9_300openalex-snapshot
Subgradient optimization, matroid problems and heuristic evaluation
inferred← citeshttps://doi.org/10.1007/3-540-48777-8_10openalex-snapshot
Semidefinite Programming Methods for the Symmetric Traveling Salesman Problem
inferred← citeshttps://doi.org/10.1007/978-1-4419-6512-7_8openalex-snapshot
Single Vehicle Round-trip Routing
inferred← citeshttps://doi.org/10.1007/978-3-031-86849-8_4openalex-snapshot
Diversification Through Candidate Sampling for a Non-iterated Lin-Kernighan-Helsgaun Algorithm
inferred← citeshttps://doi.org/10.1007/978-3-319-94667-2_26openalex-snapshot
Branch-and-Bound Algorithm for Symmetric Travelling Salesman Problem
inferred← citeshttps://doi.org/10.1007/978-3-322-84013-4_7openalex-snapshot
Das Zuordnungs- und das Rundreiseproblem
inferred← citeshttps://doi.org/10.1007/978-3-642-46329-7_7openalex-snapshot
On Constrained Shortest-Route Problems
inferred← citeshttps://doi.org/10.1007/978-3-642-68118-9_52openalex-snapshot
Die Anwendung von “Matchings” bei der Lösung von Routing-Problemen
inferred← citeshttps://doi.org/10.1007/978-3-642-95316-3_6openalex-snapshot
Optimierungsprobleme mit Nicht Polynomial Begrenzten Algorithmen
inferred← citeshttps://doi.org/10.1007/978-3-642-99748-8_16openalex-snapshot
Graphentheoretische Probleme und Methoden — ein Überblick über neuere Entwicklungen (Übersichtsvortrag)
inferred← citeshttps://doi.org/10.1007/978-3-662-00401-2_16openalex-snapshot
Graphentheoretische Methoden in der Logistik
inferred← citeshttps://doi.org/10.1007/978-3-662-03514-6_8openalex-snapshot
Recent Advances in Routing Algorithms
inferred← citeshttps://doi.org/10.1007/978-3-7091-3291-3_4openalex-snapshot
The Traveling Salesman Problem and its Implications
inferred← citeshttps://doi.org/10.1007/978-94-009-5315-4_7openalex-snapshot
Acyclic Subdigraphs and Linear Orderings: Polytopes, Facets, and a Cutting Plane Algorithm
inferred← citeshttps://doi.org/10.1007/978-94-009-7154-7_7openalex-snapshot
The assignment and the travelling salesman problems
inferred← citeshttps://doi.org/10.1007/978-94-011-7557-9_8openalex-snapshot
The Peripatetic Salesman and Some Related Unsolved Problems
inferred← citeshttps://doi.org/10.1007/978-94-011-9688-8_21openalex-snapshot
Pattern Recognition Applications in Work with Ancient Objects
inferred← citeshttps://doi.org/10.1007/bf01580682openalex-snapshot
Integer programming approaches to the travelling salesman problem
inferred← citeshttps://doi.org/10.1007/bf01584228openalex-snapshot
A restricted Lagrangean approach to the traveling salesman problem
inferred← citeshttps://doi.org/10.1007/bf01584338openalex-snapshot
The traveling salesman problem: A duality approach
inferred← citeshttps://doi.org/10.1007/bf01589105openalex-snapshot
New lower bounds for the Symmetric Travelling Salesman Problem
inferred← citeshttps://doi.org/10.1007/bf01609016openalex-snapshot
Using cutting planes to solve the symmetric Travelling Salesman problem
inferred← citeshttps://doi.org/10.1007/bf01758756openalex-snapshot
How to find Steiner minimal trees in euclideand-space
inferred← citeshttps://doi.org/10.1007/bf01918456openalex-snapshot
Lineare Charakterisierungen von Travelling Salesman Problemen
inferred← citeshttps://doi.org/10.1007/bf02294091openalex-snapshot
Applications of Combinatorial Programming to Data Analysis: The Traveling Salesman and Related Problems
inferred← citeshttps://doi.org/10.1007/bfb0120910openalex-snapshot
Finding k edge-disjoint spanning trees of minimum total weight in a network: An application of matroid theory
inferred← citeshttps://doi.org/10.1016/0012-365x(78)90083-3openalex-snapshot
Heuristically guided algorithm for k-parity matroid problems
inferred← citeshttps://doi.org/10.1016/0022-0000(78)90022-3openalex-snapshot
Algorithms for updating minimal spanning trees
inferred← citeshttps://doi.org/10.1016/0167-6377(95)00038-0openalex-snapshot
Incorporating facet-inducing inequalities into graphical-construct-based Lagrangian relaxation methodologies
inferred← citeshttps://doi.org/10.1016/0305-0548(80)90022-2openalex-snapshot
Degree-constrained minimum spanning tree
inferred← citeshttps://doi.org/10.1016/0305-0548(83)90030-8openalex-snapshot
Routing and scheduling of vehicles and crews
inferred← citeshttps://doi.org/10.1016/0377-2217(82)90014-5openalex-snapshot
Probabilistic analysis of solving the assignment problem for the traveling salesman problem
inferred← citeshttps://doi.org/10.1016/0377-2217(82)90015-7openalex-snapshot
A branch and bound algorithm for the symmetric traveling salesman problem based on the 1-tree relaxation
inferred← citeshttps://doi.org/10.1016/0377-2217(92)90138-yopenalex-snapshot
The traveling salesman problem: An overview of exact and approximate algorithms
inferred← citeshttps://doi.org/10.1016/0771-050x(78)90024-4openalex-snapshot
The seriation problem and the travelling salesman problem
inferred← citeshttps://doi.org/10.1016/b978-0-12-734250-4.50010-2openalex-snapshot
COMBINATORIAL OPTIMIZATION: WHAT IS THE STATE OF THE ART?
inferred← citeshttps://doi.org/10.1016/j.ejor.2009.02.008openalex-snapshot
Embedding learning capability in Lagrangean relaxation: An application to the travelling salesman problem
inferred← citeshttps://doi.org/10.1016/s0167-5060(08)70754-4openalex-snapshot
A Lifo Implicit Enumeration Search Algorithm for the Symmetric Traveling Salesman Problem Using Held and Karp's 1-Tree Relaxation
inferred← citeshttps://doi.org/10.1016/s0167-5060(08)70755-6openalex-snapshot
Computational Performance of Three Subtour Elimination Algorithms for Solving Asymmetric Traveling Salesman Problems
inferred← citeshttps://doi.org/10.1016/s0167-5060(08)70827-6openalex-snapshot
Travelling Salesman and Assignment Problems: A Survey
inferred← citeshttps://doi.org/10.1016/s0377-2217(01)00159-xopenalex-snapshot
Using logical surrogate information in Lagrangean relaxation: An application to symmetric traveling salesman problems
inferred← citeshttps://doi.org/10.1016/s0377-2217(96)00214-7openalex-snapshot
Estimating the Held-Karp lower bound for the geometric TSP
inferred← citeshttps://doi.org/10.1016/s0377-2217(99)00284-2openalex-snapshot
An effective implementation of the Lin–Kernighan traveling salesman heuristic
inferred← citeshttps://doi.org/10.1051/ro/1978120403691openalex-snapshot
Improved lower bounds to the travelling salesman problem
inferred← citeshttps://doi.org/10.1057/jors.1975.151openalex-snapshot
Some Simple Applications of the Travelling Salesman Problem
inferred← citeshttps://doi.org/10.1057/palgrave.jors.2601053openalex-snapshot
An improved branching rule for the symmetric travelling salesman problem
inferred← citeshttps://doi.org/10.1057/s41274-016-0173-4openalex-snapshot
A dual local search framework for combinatorial optimization problems with TSP application
inferred← citeshttps://doi.org/10.1080/05695557808975227openalex-snapshot
An Industrial application of the traveling salesman's subtour problem
inferred← citeshttps://doi.org/10.1080/05695557908974447openalex-snapshot
A Transportation Location-Allocation Model for Regional Blood Banking
inferred← citeshttps://doi.org/10.1109/icsenst.2008.4757083openalex-snapshot
Energy- aware mobile element scheduling in wireless sensor networks
inferred← citeshttps://doi.org/10.1109/mahc.1985.10011openalex-snapshot
On the History of the Minimum Spanning Tree Problem
inferred← citeshttps://doi.org/10.1137/1033004openalex-snapshot
A Branch-and-Cut Algorithm for the Resolution of Large-Scale Symmetric Traveling Salesman Problems
inferred← citeshttps://doi.org/10.1145/2897518.2897571openalex-snapshot
Separating subadditive euclidean functionals
inferred← citeshttps://doi.org/10.1155/2015/854218openalex-snapshot
Solving Large-Scale TSP Using a Fast Wedging Insertion Partitioning Approach
inferred← citeshttps://doi.org/10.1184/r1/6479474openalex-snapshot
Separating subadditive Euclidean functionals
inferred← citeshttps://doi.org/10.1287/mnsc.1040.0263openalex-snapshot
The Lagrangian Relaxation Method for Solving Integer Programming Problems
inferred← citeshttps://doi.org/10.1287/moor.16.1.72openalex-snapshot
Probabilistic Analysis of the Held and Karp Lower Bound for the Euclidean Traveling Salesman Problem
inferred← citeshttps://doi.org/10.1287/moor.2.3.209openalex-snapshot
Probabilistic Analysis of Partitioning Algorithms for the Traveling-Salesman Problem in the Plane
inferred← citeshttps://doi.org/10.1287/moor.5.1.1openalex-snapshot
Combinatorial Optimization: What is the State of the Art
inferred← citeshttps://doi.org/10.1287/opre.33.5.1024openalex-snapshot
Using Confidence Limits for the Global Optimum in Combinatorial Optimization
inferred← citeshttps://doi.org/10.1287/opre.34.5.698openalex-snapshot
An Optimal Solution Method for Large-Scale Multiple Traveling Salesmen Problems
inferred← citeshttps://doi.org/10.24089/j.sisfo.2018.01.005openalex-snapshot
Implementasi dan Perbandingan Metode Iterative Deepening Search dan Held-Karp pada Manajemen Pengiriman Produk
inferred← citeshttps://doi.org/10.3390/math11061418openalex-snapshot
A Lagrangian Method for Calculation of Passing Capacity on a Railway Hub Station
inferred← citeshttps://doi.org/10.47749/t/unicamp.2022.1246095openalex-snapshot
Um estudo sobre problemas de roteamento de veículo com aplicação em uma rede de distribuição logística
inferred← citeshttps://doi.org/10.4995/thesis/10251/2664openalex-snapshot
Optimización heurística económica aplicada a las redes de transporte del tipo VRPTW.
inferred← citeshttps://doi.org/10.7763/ijmo.2018.v8.638openalex-snapshot
Solving a Modified TSP Problem by a Greedy Heuristic for Cost Minimization
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