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18 votes
3 answers
1k views

Solving Superstring Exactly

What is known about exact complexity of the shortest superstring problem? Can it be solved faster than $O^*(2^n)$? Are there known algorithms that solve shortest superstring without reducing to TSP? ...
Alex Golovnev's user avatar
46 votes
4 answers
14k views

Approximation algorithms for Metric TSP

It is known that metric TSP can be approximated within $1.5$ and cannot be approximated better than $123\over 122$ in polynomial time. Is anything known about finding approximation solutions in ...
Alex Golovnev's user avatar
9 votes
2 answers
7k views

Time complexity of Held-Karp algorithm for TSP

When I looked through "A Dynamic Programming Approach to Sequencing Problems" by Michael Held and Richard M. Karp1, I came up with the following question: why the complexity of their ...
Oleksandr Bondarenko's user avatar