We propose a novel model of street network connectivity which uses a method from the field
of applied topology called “persistent homology”. The output from this model is a pair of …

Many complex networks demonstrate a phenomenon of striking degree correlations: that is,
a node tends to link to other nodes with similar (or dissimilar) degrees. From the perspective …

The authors propose a topological analysis of large urban street networks based on a
computational and functional graph representation. This representation gives a functional …

The mathematical concepts of graph theory were introduced into geography in the early
1960s, providing a means of conceptualizing transport networks as made up of nodes and …

Complex networks extensively exist in human society and natural world. We here report a
new mechanism that maximizes the expected utility of attaching a new node to the existing …

There exists a large body of basic research on street networks using proximity graphs from
various viewpoints. In the present study, we employ proximity graphs based on β-skeletons …

This paper proposes a novel generalization model for selecting characteristic streets in an
urban street network. This model retains the central structure of a street network. It relies on …

This tutorial provides a step by step guide for calculating some measures of urban street
networks in order to examine if they possess small-world and scale-free properties (Jiang …

We study structural properties of street networks from 97 of the most populous cities
worldwide at scales significantly larger than previous studies. We find that the distribution of …

This study explores the topological evolution of surface transportation networks, using
empirical evidence and a simulation model validated on that data. Evolution is an iterative …