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4
votes
1
answer
250
views
$k$-Opt TSP Local Search is NOT exact when $k = \lceil |V|/2 \rceil$
I've been self-studying the book Algorithms by Papadimitriou, Dasgupta and Vazirani.
I am having a hard time with a question about local search involving the traveling salesman problem (TSP).
We'll sa …
3
votes
1
answer
228
views
$k$-Opt TSP Local Search is exact when $k = |V| - 1$
I've been self-studying the book Algorithms by Papadimitriou, Dasgupta and Vazirani.
I am having a hard time with a question about local search involving the traveling salesman problem (TSP).
We'll sa …
3
votes
Accepted
$k$-Opt TSP Local Search is exact when $k = |V| - 1$
Searching more on the topic, I've found this post on Math SE with a much stronger result that in particular implies the existence of $T_1$ as defined above.
I will reproduce it here to keep things sel …