1 code implementation • 13 Jul 2022 • Paolo Boldi, Flavio Furia, Sebastiano Vigna
In this paper, we study the problem of score and rank monotonicity for classical centrality measures in the case of undirected networks: in this case, we require that score, or relative importance, improve at both endpoints of the new edge.
no code implementations • 2 Feb 2022 • Paolo Boldi, Flavio Furia, Sebastiano Vigna
We show that, surprisingly, the situation is very different for undirected graphs, and in particular that PageRank is neither score nor rank monotone.
1 code implementation • 13 Nov 2021 • Paolo Boldi, Ian Leifer, Hernán A. Makse
A fibration of graphs is an homomorphism that is a local isomorphism of in-neighbourhoods, much in the same way a covering projection is a local isomorphism of neighbourhoods.
no code implementations • 3 Dec 2016 • Corrado Monti, Paolo Boldi
Other authors, instead, developed more sophisticated models, that are able to handle complex feature interactions, but are unfit to scale to very large networks.
1 code implementation • 2 Dec 2013 • Djamal Belazzougui, Paolo Boldi, Giuseppe Ottaviano, Rossano Venturini, Sebastiano Vigna
The computation of a peeling order in a randomly generated hypergraph is the most time-consuming step in a number of constructions, such as perfect hashing schemes, random $r$-SAT solvers, error-correcting codes, and approximate set encodings.
Data Structures and Algorithms
no code implementations • 19 Nov 2011 • Lars Backstrom, Paolo Boldi, Marco Rosa, Johan Ugander, Sebastiano Vigna
It is not completely clear whether the selected individual is part of the five, so this could actually allude to distance five or six in the language of graph theory, but the "six degrees of separation" phrase stuck after John Guare's 1990 eponymous play.
Social and Information Networks Physics and Society
no code implementations • 25 Nov 2010 • Paolo Boldi, Marco Rosa, Sebastiano Vigna
Recently, the ANF algorithm (approximate neighbourhood function) has been proposed with the purpose of approximating NG(t) on large graphs.
Data Structures and Algorithms Social and Information Networks Physics and Society