Parametric definition of the influence of a paper in a citation network using communicability functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F19%3A00338043" target="_blank" >RIV/68407700:21340/19:00338043 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1093/comnet/cny037" target="_blank" >https://doi.org/10.1093/comnet/cny037</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/comnet/cny037" target="_blank" >10.1093/comnet/cny037</a>

Result language
angličtina
Original language name
Parametric definition of the influence of a paper in a citation network using communicability functions
Original language description
Communicability functions quantify the flow of information between two nodes of a network. In this work, we use them to explore the concept of the influence of a paper in a citation network. These functions depend on a parameter. By varying the parameter in a continuous way we explore different definitions of influence. We study six citation networks, three from physics and three from computer science. As a benchmark, we compare our results against two frequently used measures: the number of citations of a paper and the PageRank algorithm. We show that the ranking of the articles in a network can be varied from being equivalent to the ranking obtained from the number of citations to a behaviour tending to the eigenvector centrality, these limits correspond to small and large values of the communicability-function parameter, respectively. At an intermediate value of the parameter a PageRank-like behaviour is recovered. As a test case, we apply communicability functions to two sets of articles, where at least one author of each paper was awarded a Nobel Prize for the research presented in the corresponding article.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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