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I try to measure how well a node is connected to the rest of the network. If a city has a distant suburb connected with one sole road, it's connectedness is, say 1. If it's connected by 2 roads, it's 2, and so on. A point in the middle of the city is connected infinitely.

What are plugins or algorithms available?

I personally prefer open source solutions (QGIS, PostGIS, or python-based), but other options are also welcome.

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I think that "node centrality" concepts, in the graph theoretic literature, may be helpful. Here is an introduction to centrality measures in graphs.

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You do not specify which GIS system you wish to implement your analyses so you could investigate the sDNA which can be run in ArcGIS, python or AutoCAD.

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  • As of now, sDNA (3.0 alpha release) also runs in QGIS.
    – Sideshow Bob
    Commented Feb 9, 2016 at 16:50

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