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A Grand-Canonical Solution to a Class of Random Optimization Problems

https://doi.org/10.2139/ssrn.5507400
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Outgoing claims: the papers this work cites, builds on, or argues with.

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The Hungarian method for the assignment problem
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The ζ(2) limit in the random assignment problem
inferredcites →https://doi.org/10.1002/rsa.20084openalex-snapshot
Proofs of the Parisi and Coppersmith‐Sorkin random assignment conjectures
inferredcites →https://doi.org/10.1007/bf02579036openalex-snapshot
Lagrangean relaxation
inferredcites →https://doi.org/10.1007/s10559-016-9847-9openalex-snapshot
Fast Algorithm to Find 2-Factor of Minimum Weight
inferredcites →https://doi.org/10.1016/0196-6774(85)90022-7openalex-snapshot
An algorithmic proof of Tutte's f-factor theorem
inferredcites →https://doi.org/10.1016/0893-6080(94)90081-7openalex-snapshot
The invisible hand algorithm: Solving the assignment problem with statistical physics
inferredcites →https://doi.org/10.1016/j.physrep.2021.03.001openalex-snapshot
The Stable Marriage Problem: An interdisciplinary review from the physicist’s perspective
inferredcites →https://doi.org/10.1038/s41467-020-16175-yopenalex-snapshot
Application of combinatorial optimization strategies in synthetic biology
inferredcites →https://doi.org/10.1051/jphys:019860047080128500openalex-snapshot
A replica analysis of the travelling salesman problem
inferredcites →https://doi.org/10.1051/jphyslet:0198400450240114500openalex-snapshot
On the statistical mechanics of optimization problems of the travelling salesman type
inferredcites →https://doi.org/10.1051/jphyslet:019850046017077100openalex-snapshot
Replicas and optimization
inferredcites →https://doi.org/10.1088/1751-8121/abee9dopenalex-snapshot
The planted k-factor problem
inferredcites →https://doi.org/10.1093/acprof:oso/9780198509417.001.0001openalex-snapshot
Statistical Physics of Spin Glasses and Information Processing
inferredcites →https://doi.org/10.1103/physrevlett.58.1703openalex-snapshot
Zero-temperature scaling and combinatorial optimization
inferredcites →https://doi.org/10.1103/physrevlett.84.1347openalex-snapshot
Random Costs in Combinatorial Optimization
inferredcites →https://doi.org/10.1137/0208045openalex-snapshot
A Patching Algorithm for the Nonsymmetric Traveling-Salesman Problem
inferredcites →https://doi.org/10.1137/0210024openalex-snapshot
Optimization Problems on Graphs with Independent Random Edge Weights
inferredcites →https://doi.org/10.1287/moor.1040.0105openalex-snapshot
On Random Symmetric Travelling Salesman Problems
inferredcites →https://doi.org/10.1287/opre.18.6.1138openalex-snapshot
The Traveling-Salesman Problem and Minimum Spanning Trees
inferredcites →https://doi.org/10.3390/a17050212openalex-snapshot
A General Statistical Physics Framework for Assignment Problems
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