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I am presently reading "Spatial Networks" by Marc Barthelemy. I am interested in how spatial networks differ from non-spatial ones. For a road network, measures like degree don't work because an intersection is constrained by the number of roads that it can intersect. This is peculiar to roads but I am wondering what constraints a distance metric in general can impose on a network. Would a network including statistical or information distance be considered a spatial network? I realize that linear distance along a road is not a true distance as it doesn't always fit the triangle inequality. I am wondering if a ratio of Euclidean distance to linear distance would somehow fix things. Does anyone care to comment?