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A Survey of Measures for Network Motifs

Authors: Feng Xia 0001; Haoran Wei; Shuo Yu 0001; Da Zhang 0002; Bo Xu 0008;

A Survey of Measures for Network Motifs

Abstract

Network motifs provide an enlightening insight into uncovering the structural design principles of complex networks across multifarious disciplines, such as physics, biology, social science, engineering, and military science. Measures for network motifs play an indispensable role in the procedures of motif measurement and evaluation which are crucial steps in motif detection, counting, and clustering. However, there is a relatively small body of literature concerned with measures for network motifs. In this paper, we review the measures for network motifs in two categories: structural measures and statistical measures. The application scenarios for each measure and the distinctions of measures in similar scenarios are also summarized. We also conclude the challenges for using these measures and put forward some future directions on this topic. Overall, the objective of this survey is to provide an overview of motif measures, which is anticipated to shed light on the theory and practice of complex networks.

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Keywords

motif measure, Network motif, network science and motif definition, Electrical engineering. Electronics. Nuclear engineering, TK1-9971

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    22
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
22
Top 10%
Top 10%
Top 10%
gold