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22:46
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Easy Theory
Hamiltonian Path is NP-Complete (Directed, Reduction from 3SAT)
Here we show that the directed hamiltonian path problem is NP-complete by showing it is in NP and is NP-hard via a polynomial-time reduction from the 3SAT problem. The key in the reduction is to embed the variables and clauses of the formula as "gadgets" and connect them up in a useful way. Each of the possible "paths" through the variable ...
36.8K views
Aug 24, 2021
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