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Checking if an edge in a graph intersects other edges

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I have a 2D undirected network created using graph function in matlab (using the coordinates of the nodes). I want to add some edges to the network and check if these intersects other edges of the network. One way to do this is using the coordinates of the nodes forming the edges, checking for a point of intersection with each edge. But I think this would be compuatationally intensive for large networks. Is there a simpler way?

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