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and Application of Eigenvector Centrality

Leo Spizzirri
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The article was published on 2011-01-01 and is currently open access. It has received 8 citations till now. The article focuses on the topics: Katz centrality & Centrality.

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Citations
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Proceedings ArticleDOI

Eigenvector centrality and its application in research professionals' relationship network

TL;DR: Eigenvector centrality is more suited than other centrality measures for finding prominent or key author in research professionals' relationship network and its application based on Network x is discussed.
Journal ArticleDOI

Vertex Entropy As a Critical Node Measure in Network Monitoring

TL;DR: This paper introduces local vertex measures of entropy which approximate global entropy, with the advantage of locality and ease of computation, and establishes properties that vertex entropy must have in order to be useful for identifying critical nodes.
Journal ArticleDOI

Criticality and propagation analysis of impacts between project deliverables

TL;DR: In this article, the authors propose a set of topological indicators suitable for project elements and interactions, which mainly allow us to discuss how the impact of a project element affects other elements within the network? What is the collective influence of this element?
Proceedings ArticleDOI

A Generic Axiomatic Characterization for Measuring Influence in Social Networks

TL;DR: This paper proposes a generic axiomatic framework, in this paper, to capture most of the key intrinsic properties of any influence measure in networks, and analyzes certain popular centrality measures using this framework.
Dissertation

Graph topology and the evolution of cooperation

Menglin Li
TL;DR: The main motivation of this work is to examine the influence of the structure of the graph in maintaining cooperation, and found that the graph centrality is related to the ability of certain strategies to invade the population.
References
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Proceedings Article

The PageRank Citation Ranking : Bringing Order to the Web

TL;DR: This paper describes PageRank, a mathod for rating Web pages objectively and mechanically, effectively measuring the human interest and attention devoted to them, and shows how to efficiently compute PageRank for large numbers of pages.
Journal ArticleDOI

The Perron-Frobenius theorem and the ranking of football teams

James P. Keener
- 01 Mar 1993 - 
TL;DR: The author describes four different methods to rank teams in uneven paired competition and shows how each of these methods depends in some fundamental way on the Perron–Frobenius theorem.
Journal ArticleDOI

The geographical interpretation of eigenvalues

TL;DR: In this article, Heisenberg's analysis, showing pattern and order where none was seen before, is not the first example of arraying data in matrix form, but it is one of the most famous examples.
Journal ArticleDOI

Linear algebra in geography, eigenvectors of networks

TL;DR: In this article, the principal eigenvector of the adjacency matrix of a road map is used to measure the accessibility of the road map, and the eigenvectors are used for road access.
Journal ArticleDOI

A simple proof of the Perron-Frobenius theorem for positive symmetric matrices

F Ninio
- 01 Aug 1976 - 
TL;DR: In this paper, an elementary proof is given that the statistical mechanical transfer matrix, when symmetric, has a maximum eigenvalue which is non-degenerate and larger than the absolute value of any other eigen value.
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