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Help whit ATSP - Assimetric Traveling Salesman Problem

Hi

I'm Diego Mata and i study optimization in Brazil.
I implemented your code and had great results.

The problem is that i did not understand the expansion to transform the asymmetric matrix into a symmetric matrix.

do you have any paper that explain the technique used in this code?
I would like to reference them in my paper.

I refer to the code available on github in the link below

https://github.com/yu961549745/MatlabCollections/tree/master/ATSP

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