Table 1.
Considered Wikipedia networks from language editions: English (EN), French (FR), German (DE), Italian (IT), Spanish (ES), Dutch (NL), Russian (RU), Hungarian (HU), Korean (KO).
Figure 1.
as function of PageRank index
(a) and CheiRank probability
as function of CheiRank index
(b). For a better visualization each PageRank
and CheiRank
curve is shifted down by a factor
(EN),
(FR),
(DE),
(IT),
(ES),
(NL),
(RU),
(HU),
(KO).
Figure 2.
Density of Wikipedia articles in the PageRank ranking
versus CheiRank ranking
plane for each Wikipedia edition. The red points are top PageRank articles of persons, the green points are top 2DRank articles of persons and the cyan points are top CheiRank articles of persons. Panels show: English (top-left), French (top-center), German (top-right), Italian (middle-left), Spanish (middle-center), Dutch (middle-left), Russian (bottom-left), Hungarian (bottom-center), Korean (bottom-right). Color bars shown natural logarithm of density, changing from minimal nonzero density (dark) to maximal one (white), zero density is shown by black.
Table 2.
Example of list of top 10 persons by PageRank for English Wikipedia with their field of activity and native language.
Figure 3.
Distribution of top 30 persons in each rank over activity fields for each Wikipedia edition.
Panels correspond to (a) PageRank, (b) 2DRank, (3) CheiRank. The color bar shows the values in percents.
Figure 4.
Distributions of top 30 persons over different cultures corresponding to Wikipedia editions, “WR” category represents all other cultures which do not belong to considered 9 Wikipedia editions.
Panels show ranking by (a) PageRank, (b) 2DRank, (3) CheiRank. The color bar shows the values in percents.
Table 3.
PageRank contribution per link and in-degree of PageRank local and non-local heroes for each edition.
Table 4.
List of local heroes by PageRank for each Wikipedia edition.
Table 5.
List of local heroes by CheiRank for each Wikipedia edition.
Table 6.
List of local heroes by 2DRank for each Wikipedia edition.
Table 7.
List of global heroes by PageRank and 2DRank for all 9 Wikipedia editions.
Figure 5.
Network of cultures obtained from 9 Wikipedia languages and the remaining world (WR) selecting 30 top persons of PageRank (a) and 2DRank (b) in each culture.
The link width and darkness are proportional to a number of foreign persons quoted in top 30 of a given culture, the link direction goes from a given culture to cultures of quoted foreign persons, quotations inside cultures are not considered. The size of nodes is proportional to their PageRank.
Figure 6.
Google matrix of network of cultures from Fig. 5, shown respectively for panels
. The matrix elements
are shown by color at the damping factor
, index
is chosen as the PageRank index
of PageRank vector so that the top cultures with
are located at the top left corner of the matrix.
Figure 7.
Dependence of probabilities of PageRank
(red) and CheiRank
(blue) on corresponding indexes
and
. The probabilities are obtained from the network and Google matrix of cultures shown in Fig. 5 and Fig. 6 for corresponding panels
. The straight lines indicate the Zipf law
.
Figure 8.
PageRank versus CheiRank plane of cultures with corresponding indexes
and
obtained from the network of cultures for corresponding panels
.