Geodesic
Evaluating scientific products by means of citation-based models: a first analysis and validation
Electronic transactions on numerical analysis, Tome 33 (2009).

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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 citations, 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.
Classification : 65F15
Keywords: page rank, perron vector, perturbation results, impact factor 
@article{ETNA_2009__33__a12,
     author = {Bini, Dario A. and Del Corso, Gianna M. and Romani, Francesco},
     title = {Evaluating scientific products by means of citation-based models: a first analysis and validation},
     journal = {Electronic transactions on numerical analysis},
     publisher = {mathdoc},
     volume = {33},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2009__33__a12/}
}
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Bini, Dario A.; Del Corso, Gianna M.; Romani, Francesco. Evaluating scientific products by means of citation-based models: a first analysis and validation. Electronic transactions on numerical analysis, Tome 33 (2009). http://geodesic.mathdoc.fr/item/ETNA_2009__33__a12/