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MacKay, Robert S., Johnson, S. and Sansom, B. (2020) How directed is a directed network? Royal Society Open Science , 7 (9). 201138. doi:10.1098/rsos.201138 ISSN 2054-5703.
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Official URL: http://dx.doi.org/10.1098/rsos.201138
Abstract
The trophic levels of nodes in directed networks can reveal their functional properties. Moreover, the trophic coherence of a network, defined in terms of trophic levels, is related to properties such as cycle structure, stability and percolation. The standard definition of trophic levels, however, borrowed from ecology, suffers from drawbacks such as requiring basal nodes, which limit its applicability. Here we propose simple improved definitions of trophic levels and coherence that can be computed on any directed network. We demonstrate how the method can identify node function in examples including ecosystems, supply chain networks, gene expression and global language networks. We also explore how trophic levels and coherence relate to other topological properties, such as non-normality and cycle structure, and show that our method reveals the extent to which the edges in a directed network are aligned in a global direction.
Item Type: | Journal Article | ||||||||||||
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Subjects: | Q Science > QA Mathematics T Technology > T Technology (General) |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
Library of Congress Subject Headings (LCSH): | System analysis, Computational complexity, Graph theory -- Data processing, System analysis -- Data processing | ||||||||||||
Journal or Publication Title: | Royal Society Open Science | ||||||||||||
Publisher: | Royal Society Publishing | ||||||||||||
ISSN: | 2054-5703 | ||||||||||||
Official Date: | September 2020 | ||||||||||||
Dates: |
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Volume: | 7 | ||||||||||||
Number: | 9 | ||||||||||||
Article Number: | 201138 | ||||||||||||
DOI: | 10.1098/rsos.201138 | ||||||||||||
Status: | Peer Reviewed | ||||||||||||
Publication Status: | Published | ||||||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||||||
Date of first compliant deposit: | 25 September 2020 | ||||||||||||
Date of first compliant Open Access: | 29 September 2020 | ||||||||||||
RIOXX Funder/Project Grant: |
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