Line graphs e contrazioni：一个严格的空间语法
Line graphs e contrazioni: un approccio rigoroso alla space syntax
摘要：
空间句法的方法一直是广泛讨论的主题，并提出了几种技术来识别轴线。空间语法可以用线图来表示，线图是定义在给定的主图的边上的图。借助于线图算法，将定义在主图边上的标号系统转化为线图顶点上的标号系统。具有相同标签的相邻边的收缩允许构建比用空间语法的方法生成的那些更一般的图。因此，通过Mathematica中实现的功能，可以重新定义任何城市数量（标签）系统的空间语法，并将轴线的结果作为特例重现。作为一个例子，讨论了该方法在城市噪声分析中的可能应用。
英文摘要：
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.
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