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README.md

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# Formalising Theory of Approximating the Travelling-Salesman Problem
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## TODO
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- [x] formalize and proof correct Double-Tree algorithm (`./DoubleTree.thy`)
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- [x] formalize and proof correct Christofides-Serdyukov algorithm (`./ChristofidesSerdyukov.thy`)
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- [ ] (?) connect Prim formalization (finish adaptor `./MSTPrimAdaptor.thy`)
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- [ ] (?) formalize and proof correct algroithm for Eulerian Tour (`./Eulerian.thy`)
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- [ ] (?) formalize Multi-graphs by encoding Multi-graphs in normal-simple graphs (`./MultiGraph.thy`)
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- [ ] proof MAXSNP-hardness of metric TSP

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