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Given a linear program, by experimentation, I can see that the solver can solve large instances in a few seconds. How can I prove that my LP is in polynomial time, or can we say that it is just by experimentation?

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I have not seen anyone proving something like that.

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  • $\begingroup$ So, How we can say that a given linear program is polynomial-time solvable? $\endgroup$ Dec 12, 2021 at 20:29
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    $\begingroup$ Linear programming is in P en.wikipedia.org/wiki/… All linear programs can be solved in polynomial time $\endgroup$
    – fontanf
    Dec 12, 2021 at 20:41

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