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Xavier Holt edited Monotonicity_TSP_See_ref_fig__.md
almost 8 years ago
Commit id: 4bc774ad2056b4d4338c0470249296e9b802b640
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* Let \(c\) be \(d(p_{i+1}, p_{i-1})\).
* Let the length of the cycle of all points besides these three be defined as \(L\).
If we remove \(p\) from our pointset S, we can always join \(p_{i-1},p_{i+1}\) to make a new TS cycle. By the triangle inequality \(c \leq a + b\). Therefore \(|TSP(S)| = L+a+b \leq L + c =
|TSP(S_{/p})|\).
For all points |TSP(S_{/p})| \square\).
## MST