Non-random network connectivity comes in pairs

Overrepresentation of bidirectional connections in local cortical networks has been repeatedly reported and is in the focus of the ongoing discussion of non-random connectivity. Here we show in a brief mathematical analysis that in a network in which connection probabilities are symmetric in pairs,...

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Bibliographic Details
Published in:arXiv.org 2016-12
Main Authors: Hoffmann, Felix Z, Triesch, Jochen
Format: Article
Language:English
Subjects:
Mathematical analysis
Online Access:Get full text
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Summary:Overrepresentation of bidirectional connections in local cortical networks has been repeatedly reported and is in the focus of the ongoing discussion of non-random connectivity. Here we show in a brief mathematical analysis that in a network in which connection probabilities are symmetric in pairs, \(P_{ij} = P_{ji}\), the occurrence of bidirectional connections and non-random structures are inherently linked; an overabundance of reciprocally connected pairs emerges necessarily when the network structure deviates from a random network in any form.
ISSN:2331-8422