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2 votes
1 answer
133 views

Constructing optimal Hamilton cycles from optimal Hamilton paths

Question: can the shortest Hamilton cycle in a complete symmetric graph with weighted edges be constructed from the shortest Hamilton path in the same graph by connecting its ends and then exchanging ...
-1 votes
1 answer
243 views

Helsgaun's $k$-Opt moves

In his 2009 paper General k-opt submoves for the Lin–Kernighan TSP heuristic, Helsgaun defines the local tour improvements on which the LKH heuristics are based as: with a cycle defined here: which ...