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How to set EdgeWeights in SpatialGraphDistribution?

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I have a table of random geometric graphs

graphs = Table[   RandomGraph[    SpatialGraphDistribution[     RandomVariate[PoissonDistribution[100]], 0.2]], {k, 1,     10}];

but I need the EdgeWeights of each graph to be the Euclidean distances between the vertices of the respective edge. At the moment they are all unity.

I tried using

graphs = SetProperty[#,      EdgeWeight -> EuclideanDistance @@@ EdgeList[#]] & /@ graphs;

but this obviously requires the vertex names to be position vectors. I also tried using

vertlist[graph_] :=  VertexCoordinates /. AbsoluteOptions[graph, VertexCoordinates]

with another function which threads over the edges, but it seems inelegant...

Is there a simpler way?


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