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World impact of kernel European Union 9 countries from Google matrix analysis of the world trade network
(Springer, 2021-05)
We use the United Nations COMTRADE database for analysis of the multiproduct world trade network. With this data, considered for years 2012–2018, we determined the world trade impact of the Kernel of EU 9 countries (KEU9), ...
Non-transposed three-phase line analyses with a single real transformation matrix
(2005-10-31)
In transmission line transient analyses, a single real transformation matrix can obtain exact modes when the analyzed line is transposed. For non-transposed lines, the results are not exact. In this paper, non-symmetrical ...
Non-transposed three-phase line analyses with a single real transformation matrix
(2005-10-31)
In transmission line transient analyses, a single real transformation matrix can obtain exact modes when the analyzed line is transposed. For non-transposed lines, the results are not exact. In this paper, non-symmetrical ...
Google matrix analysis of directed networks
(American Physical Society, 2015-10)
In the past decade modern societies have developed enormous communication and social networks. Their classification and information retrieval processing has become a formidable task for the society. Because of the rapid ...
Spectral properties of Google matrix of Wikipedia and other networks
(Springer, 2013-05)
We study the properties of eigenvalues and eigenvectors of the Google matrix of the Wikipedia articles hyperlink network and other real networks. With the help of the Arnoldi method, we analyze the distribution of eigenvalues ...
Google matrix
(Scholarpedia, 2016-11)
The Google matrix G of a directed network is a stochastic square matrix with nonnegative matrix elements and the sum of elements in each column being equal to unity. This matrix describes a Markov chain (Markov, 1906-a) ...
Measuring distances between complex networks
(2008)
A previously introduced concept of higher order neighborhoods in complex networks, [R.F.S. Andrade,J.G.V. Miranda, T.P. Lobão, Phys. Rev. E 73 (2006) 046101] is used to define a distance between networks
with the same ...
Google matrix analysis of the multiproduct world trade network
(Springer, 2015-04)
Using the United Nations COMTRADE database [United Nations Commodity Trade Statistics Database, available at: http://comtrade.un.org/db/. Accessed November (2014)] we construct the Google matrix G of multiproduct world ...