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4/3-Approximation of Graphic TSP

Data Structures and Algorithms 2024-11-05 v8

Abstract

We describe a 43\frac{4}{3}-approximation algorithm for the traveling salesman problem in which the distances between points are induced by graph-theoretical distances in an unweighted graph. The algorithm is based on finding a minimum cost perfect matching on the odd degree vertices of a carefully computed 2-edge-connected spanning subgraph.

Keywords

Cite

@article{arxiv.2305.05411,
  title  = {4/3-Approximation of Graphic TSP},
  author = {Ali Çivril},
  journal= {arXiv preprint arXiv:2305.05411},
  year   = {2024}
}

Comments

Degree reduction and decomposition is all wrong

R2 v1 2026-06-28T10:29:48.627Z