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Everything about Travelling salesman problem

NP-hard problem in combinatorial optimization

In the theory of computational complexity, the travelling salesman problem (TSP) asks the following question: "Given a list of cities and the distances between each pair of cities, what is the shortest possible route that visits each city exactly once and returns to the origin city?" It is an NP-hard problem in combinatorial optimization, important in theoretical computer science and operations research. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Travelling salesman problemA 5-minute orientation
  2. Skim a recent paper: A review of metaheuristic algorithms for solving TSP-based scheduling optimization problemsInfluential work since 2022
  3. Pick up a classic book: Times Series Processor, version 4.3The most-reprinted book on the subject
  4. Read the landmark paper: Bioaccessibility and health risk of arsenic and heavy metals (Cd, Co, Cr, Cu, Ni, Pb, Zn and Mn) in TSP and PM2.5 in Nanjing, ChinaCited 529 times
  5. Go sideways: Bottleneck traveling salesman problemA closely related topic
  6. Go sideways: Christofides algorithmA closely related topic

📖 Definitions

Symbol ISO 639-3 language code for Northern Toussian.

Noun Abbreviation of teaspoon, a unit of measurement.

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

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