Hierarchy depth in directed networks

Suchecki, Krzysztof; Hołyst, Janusz A.

doi:10.48550/arxiv.1303.2085

Cited by 1 publication

(2 citation statements)

References 16 publications

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“…We measured the time dependence of flow hierarchy in the networks by a corresponding metric, and surprisingly found that a majority of the categories follow a unique growth tendency. It is known that hierarchical structures are less likely to appear and be present in networks with large average degree [20,23,24]. Although the growing citation networks are characterized by an increasing average degree, they also form a more hierarchical structure in time.…”

Section: Discussionmentioning

confidence: 99%

“…The first and most striking observation is that the level of hierarchy is increasing in all cases, even though the average degrees corresponding to these fields are also growing (see the inset in figure 2). Studies have found that the extent of hierarchy is quickly vanishing for increasing average degrees in the configuration model [20,23,24]. This indicates that the evolved structure of the citations is nontrivial, and even networks with low G R values are considerably more hierarchical than most other real-world networks [21].…”

Section: Universal Trendsmentioning

confidence: 99%

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Universal hierarchical behavior of citation networks

Mones¹,

Pollner²,

Vicsek³

2014

J. Stat. Mech.

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Many of the essential features of the evolution of scientific research are imprinted in the structure of citation networks. Connections in these networks imply information about the transfer of knowledge among papers, or in other words, edges describe the impact of papers on other publications. This inherent meaning of the edges infers that citation networks can exhibit hierarchical features, that is typical of networks based on decision-making. In this paper, we investigate the hierarchical structure of citation networks consisting of papers in the same field. We find that the majority of the networks follow a universal trend towards a highly hierarchical state, and i) the various fields display differences only concerning their phase in life (distance from the "birth" of a field) or ii) the characteristic time according to which they are approaching the stationary state. We also show by a simple argument that the alterations in the behavior are related to and can be understood by the degree of specialization corresponding to the fields. Our results suggest that during the accumulation of knowledge in a given field, some papers are gradually becoming relatively more influential than most of the other papers.

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Section: Discussionmentioning

confidence: 99%