Abstract: Complexity science seeks the understanding of systems adopting diverse theories from various areas. Network analysis has been gaining space and credibility, namely with the biological, social and economic systems. Significant part of the literature focuses only monolayer representations of connections among agents considering one level of their relationships, and excludes other levels of interactions, leading to simplistic results in network analysis. Therefore, this work aims to demonstrate the advantages of the use of multilayer networks for the representation and analysis of networks. For this, we analyzed an interbank network, composed of 42 banks, comparing the centrality measures of the agents (degree and PageRank) resulting from each method (monolayer x multilayer). This proved to be the most reliable and efficient the multilayer analysis for the study of the current networks and highlighted JP Morgan and Deutsche Bank as the most important banks of the analyzed network.
Abstract: One of the major shortcomings of widely used
scientometric indicators is that different disciplines cannot be
compared with each other. The issue of cross-disciplinary
normalization has been long discussed, but even the classification
of publications into scientific domains poses problems. Structural
properties of citation networks offer new possibilities, however, the
large size and constant growth of these networks asks for precaution.
Here we present a new tool that in order to perform cross-field
normalization of scientometric indicators of individual publications
relays on the structural properties of citation networks. Due to the
large size of the networks, a systematic procedure for identifying
scientific domains based on a local community detection algorithm
is proposed. The algorithm is tested with different benchmark
and real-world networks. Then, by the use of this algorithm, the
mechanism of the scientometric indicator normalization process is
shown for a few indicators like the citation number, P-index and
a local version of the PageRank indicator. The fat-tail trend of the
article indicator distribution enables us to successfully perform the
indicator normalization process.
Abstract: One of research issues in social network analysis is to
evaluate the position/importance of users in social networks. As the
information diffusion in social network is evolving, it seems difficult
to evaluate the importance of users using traditional approaches. In
this paper, we propose an evaluation approach for user importance
with fractal view in social networks. In this approach, the global importance
(Fractal Importance) and the local importance (Topological
Importance) of nodes are considered. The basic idea is that the bigger
the product of fractal importance and topological importance of a
node is, the more important of the node is. We devise the algorithm
called TFRank corresponding to the proposed approach. Finally, we
evaluate TFRank by experiments. Experimental results demonstrate
our TFRank has the high correlations with PageRank algorithm
and potential ranking algorithm, and it shows the effectiveness and
advantages of our approach.
Abstract: This paper gives an introduction to Web mining, then
describes Web Structure mining in detail, and explores the data
structure used by the Web. This paper also explores different Page
Rank algorithms and compare those algorithms used for Information
Retrieval. In Web Mining, the basics of Web mining and the Web
mining categories are explained. Different Page Rank based
algorithms like PageRank (PR), WPR (Weighted PageRank), HITS
(Hyperlink-Induced Topic Search), DistanceRank and DirichletRank
algorithms are discussed and compared. PageRanks are calculated for
PageRank and Weighted PageRank algorithms for a given hyperlink
structure. Simulation Program is developed for PageRank algorithm
because PageRank is the only ranking algorithm implemented in the
search engine (Google). The outputs are shown in a table and chart
format.