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- Title
ABSTRACTS: ALLOMETRY IN TOPOLOGIC STRUCTURE OF TRANSPORTATION NETWORKS.
- Abstract
The article presents abstract of an article by Ranko Bon that appeared in the August 1979 issue of the journal Quality and Quantity. The article states that many students of transportation network growth have failed to see that the ratio between the actual and potential number of edges in a system tends to remain constant with size increase. The literature on this subject makes implicit or explicit hypotheses that this ratio is either increasing or decreasing as networks grow. It is the objective of this article to point out this invariance rather than to adequately explain it. The first part of the paper introduces the notion of allometric growth, where the ratio of specific growth rates, or growth rates, of the variables under consideration remains constant. The second-part deals with some elementary graph-theoretic concepts necessary for discussion of a graph-theoretic measure. The third part is a discussion of an empirical study of transportation network growth, the objective of which is to demonstrate the invariance of this measure.
- Subjects
PERIODICALS; SOCIAL networks; ALLOMETRY; TRANSPORTATION; MATHEMATICAL variables; TOPOLOGY
- Publication
Quality & Quantity, 1979, Vol 13, Issue 4, p362
- ISSN
0033-5177
- Publication type
Abstract