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This is a branch that includes: computational complexity theory; complexity classes, NP-completeness and other completeness concepts; oracle analogues of complexity classes; complexity-theoretic computational models; regular languages; context-free languages; Komolgorov Complexity and so on.

8 votes

Is there a lower bound for the computational complexity of the traveling salesman problem?

The Hamiltonian-circuit problem (which is known to be NP-complete) is polynomially reducible to TSP: Given a graph $G$ on $n$ vertices construct an edge-weighted $K_n$ complete graph with edge weights …
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