Line graphs e contrazioni: un approccio rigoroso alla space syntax
Abstract
The methods of the space syntax have been the subject of extensive discussion, and several techniques to identify the axis lines have been proposed. The space syntax can be represented in terms of line graph, a graphs defined on the edge of a given primary graph. By means of the line graph algorithms, a system of labels defined on the edges of the primary graph is transformed into a system of labels on the vertices of the line graph. The contraction of adjacent edges with the same label allows to build a more general graph than those generated with the methods of the space syntax. By means of the functions implemented in Mathematica is therefore possible to redefine the space syntax on any system of urban quantities (labels) and reproduce the results of the axial lines as a special case. As an example is discussed a possible application of the method to the urban noise analysis.
 Publication:

arXiv eprints
 Pub Date:
 April 2015
 DOI:
 10.48550/arXiv.1504.00890
 arXiv:
 arXiv:1504.00890
 Bibcode:
 2015arXiv150400890D
 Keywords:

 Physics  Physics and Society
 EPrint:
 Submitted to the proceedings of the "Mathematica Italia, 7{\deg} User Group Meeting"