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I would like to split a network of roads at the vertices just created in another layer. So, I have got a roads layer and a nodes layer and I would like to exploit the nodes layer in order to obtain a graph from the roads made by edges defined by those nodes.

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You can use Esri Split tool. Here you can add your line layer as in features and points layer as split features. Lines would split at nodes location.

. For more information click here and here

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    Do you have any open source solution in your mind ? For example any way of doing it in QGIS or any other open source software ? – Ahsan Mukhtar Jan 8 '17 at 17:29

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