A note on a generalization of eigenvector centrality for bipartite graphs and applications

@article{Daugulis2012ANO,
  title={A note on a generalization of eigenvector centrality for bipartite graphs and applications},
  author={Peteris Daugulis},
  journal={Networks},
  year={2012},
  volume={59},
  pages={261-264}
}
  • P. Daugulis
  • Published 2012
  • Mathematics, Computer Science
  • Networks
Eigenvector centrality is a linear algebra based graph invariant used in various rating systems such as webpage ratings for search engines. A generalization of the eigenvector centrality invariant is defined which is motivated by the need to design rating systems for bipartite graph models of time-sensitive and other processes. The linear algebra connection and some applications are described. © 2011 Wiley Periodicals, Inc. NETWORKS, 2012 © 2012 Wiley Periodicals, Inc. 
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References

SHOWING 1-5 OF 5 REFERENCES
The Structure and Function of Complex Networks
  • M. Newman
  • Physics, Computer Science
  • SIAM Rev.
  • 2003
TLDR
Developments in this field are reviewed, including such concepts as the small-world effect, degree distributions, clustering, network correlations, random graph models, models of network growth and preferential attachment, and dynamical processes taking place on networks. Expand
Eigenfactor Measuring the value and prestige of scholarly journals
In 1927, two chemists at Pomona College published an article in Science, proposing that librarians could use data about citation rates to select appropriate journals for a small library collection.Expand
Handbook of Linear Algebra
Linear Algebra Linear Algebra Vectors, Matrices, and Systems of Linear Equations Jane Day Linear Independence, Span, and Bases Mark Mills Linear Transformations Francesco Barioli Determinants andExpand
The Anatomy of a Large-Scale Hypertextual Web Search Engine
TLDR
This paper provides an in-depth description of Google, a prototype of a large-scale search engine which makes heavy use of the structure present in hypertext and looks at the problem of how to effectively deal with uncontrolled hypertext collections where anyone can publish anything they want. Expand
The Jordan forms of AB and BA
The relationship between the Jordan forms of the matrix products AB and BA for some given A and B was first described by Harley Flanders in 1951. Their non-zero eigenvalues and non-singular JordanExpand