Izvestiya of Saratov University.
ISSN 1819-7663 (Print)
ISSN 2542-1921 (Online)


компактность

Topological approach to analyzing compactness and connectivity of settlement systems considering terrain constraints (case study of the Saratov Region)

The article examines the application of topological concepts for analysing the structure and assessing the compactness of a regional settlement system. A methodology is proposed that adapts classical topological invariants to evaluate real transport-planning networks using OpenStreetMap data, taking into account physical-geographical and legislative constraints. Instead of abstract node connectivity indices in the settlement system graph, a new operational indicator – the “exit index” – is introduced.