The Bartlett Centre for Advanced Spatial Analysis


CASA Working Paper 204

11 September 2015

Line Structure Interpretation of Networks: Relationships, Matrices and Properties

This working paper sets out an interpretation of the line structure as a device for representing network structure. First, the line structure S# is briefly introduced with reference to Euclidean and Cartesian geometry. Then its relation to the primal graph (G') and dual graph (G") are set out, demonstrated using an intermediate form, the hypergraph H#. A series of point matrices X and line matrices X for specifying the line structure are set out, from which line structural properties such as continuity and connectivity are derived.

Author: Stephen Marshall

Publication date: 19 August 2015

Download working paper 204 (file size 12.7Mb, PDF format)