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 adiacency matrices obtained from the relations of citation,
authorship and publication, which concurr to forming a suitable
irreducible stochastic matrix whose Perron vector provides the
ranking. Some perturbation theorems concerning the Perron vector of
nonnegative irreducible matrices are proved. These theoretical
results provide a validation of the consistency and effectiveness
of our models. Several paradigmatic examples are reported together
with some results obtained on a real set of data.