A persistent homology model of street network connectivity

We propose a novel model of street network connectivity which uses method from the field applied topology called “persistent homology”. The output this is pair density functions relative strength and frequency connected components cycles in network. In context, function type, such as motorway or residential, with more significant types providing greater connectivity. are easily interpreted provide insights into properties different networks. demonstrate usefulness through an analysis UK US city This identifies tangible similarities differences cities plus ways individual might be improved.