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weighted graph, edges thickness

I am very new to Mathematica and I am failing in trying to do
something very simple.

I have a graph structure and i have a weight matrix such taht each
edge corresponding to a couple of nodes has a weight.
I need to represent the weights of the edges by different thikness
according to the value in the matrix

Can any one help me please ?

Thank's in advace
Cherif Rahal

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