Evaluating scientific products by means of citation-based models: a first analysis and validation

Some integrated models for ranking scientific publications together with authors and journals are presented and analyzed. The models rely on certain adjacency matrices obtained from the relationships between cititations, authors and publications, which together give a suitable irreducible stochastic...

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Bibliographic Details
Published inElectronic transactions on numerical analysis Vol. 33; p. 1
Main Authors Bini, Dario A, Del Corso, Gianna M, Romani, Francesco
Format Journal Article
LanguageEnglish
Published Institute of Computational Mathematics 01.08.2008
Subjects
Numerical analysis
Perturbation (Mathematics)
Stochastic processes
Vector spaces
Italy
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Summary:Some integrated models for ranking scientific publications together with authors and journals are presented and analyzed. The models rely on certain adjacency matrices obtained from the relationships between cititations, authors and publications, which together give a suitable irreducible stochastic matrix whose Perron vector provides the ranking. Some perturbation theorems concerning the Perron vectors of nonnegative irreducible matrices are proved. These theoretical results provide a validation of the consistency and effectiveness of our models. Several examples are reported together with some results obtained on a real set of data. Key words. Page rank, Perron vector, perturbation results, impact factor AMS subject classifications. 65F15
ISSN:1068-9613
1097-4067