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Published in:
2018 | OriginalPaper | Chapter
2. Irrelevant and Simple Measures
Author : Marc Barthelemy
Published in: Morphogenesis of Spatial Networks
Publisher: Springer International Publishing
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Abstract
Many studies on complex networks were about how to characterize them and what are the most relevant measures for understanding their structure. In particular, the degree distribution and the existence of the second moment for an infinite network were shown to be critical when studying dynamical processes on networks. These behaviors are therefore strongly connected to degree fluctuations and the existence of hubs. In the case of spatial networks, the physical constraints are usually large and prevent the appearance of such hubs. These constraints also impact other quantities that are nontrivial for complex networks but that become irrelevant for spatial networks. We review here these measures that are essentially useless for spatial networks and we then discuss older, simple measures that were mostly introduced in the context of quantitative geography.