EdgeStyle on a LayeredGraphPlot

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I'm using the LayeredGraphPlot function of Mathematica, and I would like to customize my edges and vertex using EdgeStyle and VertexStyle. But these two functions don't exist for a LayeredGraphPlot.

In fact I have a list of weight for the edges, and I want to plot dashed edges for the smallest one, thick red edges for the biggest, and normal blue for the others. (and quite the same with the vertex : the more a word is used, the darker the vertex is)

How can I do with the EdgeRenderingFunction and the VertexRenderingFunction? I don't really understand how pure functions can work in this case.

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