22 citations · 120 across the 16 of their papers we have counts for
17 papers
Scaled Null-Adjusted Persistence: A Multiscale Bridge between Modularity and Persistence
Alessandro Avellone, Paolo Bartesaghi, Stefano Benati +1
Community detection methods must balance two competing objectives: identifying small, cohesive groups while avoiding excessive fragmentation. Modularity, the most widely adopted op…
Local and Global Balance in Financial Correlation Networks: an Application to Investment Decisions
Paolo Bartesaghi, Rosanna Grassi, Pierpaolo Uberti
The global balance is a well-known indicator of the behavior of a signed network. Recent literature has introduced the concept of local balance as a measure of the contribution of…
Null-adjusted persistence function for high-resolution community detection
Alessandro Avellone, Paolo Bartesaghi, Stefano Benati +2
Modularity and persistence probability are two widely used quality functions for detecting communities in complex networks. In this paper, we introduce a new objective function cal…
Global Balance and Systemic Risk in Financial Correlation Networks
Paolo Bartesaghi, Fernando Diaz-Diaz, Rosanna Grassi +1
The global balance index is used in the network literature to quantify how balanced a signed network is. In this paper we show that the global balance index of financial correlatio…
A random journey through the math of gambling
Paolo Bartesaghi
The laws of chance are often subtle and deceptive. This is why games of chance work. People are convinced that they obey seemingly intuitive laws, while the underlying mathematical…
A Novel Self-Adaptive SIS Model Based on the Mutual Interaction between a Graph and its Line Graph
Paolo Bartesaghi, Gian Paolo Clemente, Rosanna Grassi
We propose a new paradigm to design a network-based self-adaptive epidemic model that relies on the interplay between the network and its line graph. We implement this proposal on…
Mathematical Modeling of Local Balance in Signed Networks and Its Applications to Global International Analysis
Fernando Diaz-Diaz, Paolo Bartesaghi, Ernesto Estrada
Alliances and conflicts in social, political and economic relations can be represented by positive and negative edges in signed networks. A cycle is said to be positive if the prod…
Notes on Resonant and Synchronized States in Complex Networks
Paolo Bartesaghi
Synchronization and resonance on networks are some of the most remarkable collective dynamical phenomena. The network topology, or the nature and distribution of the connections wi…
Clustering coefficients as measures of the complex interactions in a directed weighted multilayer network
Paolo Bartesaghi, Gian Paolo Clemente, Rosanna Grassi
In this paper, we provide novel definitions of clustering coefficient for weighted and directed multilayer networks. We extend in the multilayer theoretical context the clustering…
Taxonomy of Cohesion Coefficients for Weighted and Directed Multilayer Networks
Paolo Bartesaghi, Gian Paolo Clemente, Rosanna Grassi
Clustering and closure coefficients are among the most widely applied indicators in the description of the topological structure of a network. Many distinct definitions have been p…
From networked SIS model to the Gompertz function
Ernesto Estrada, Paolo Bartesaghi
The Gompertz function is one of the most widely used models in the description of growth processes in many different fields. We obtain a networked version of the Gompertz function…
The multilayer architecture of the global input-output network and its properties
Rosanna Grassi, Paolo Bartesaghi, Gian Paolo Clemente +1
We analyze the multilayer architecture of the global input-output network using sectoral trade data (WIOD, 2016 release). With a focus on the mesoscale structure and related proper…
A tensor-based unified approach for clustering coefficients in financial multiplex networks
Paolo Bartesaghi, Gian Paolo Clemente, Rosanna Grassi
Big data and the use of advanced technologies are relevant topics in the financial market. In this context, complex networks became extremely useful in describing the structure of…
Where to cut to delay a pandemic with minimum disruption? Mathematical analysis based on the SIS model
Paolo Bartesaghi, Ernesto Estrada
We consider the problem of modifying a network topology in such a way as to delay the propagation of a disease with minimal disruption of the network capacity to reroute goods/item…
Community structure in the World Trade Network based on communicability distances
Paolo Bartesaghi, Gian Paolo Clemente, Rosanna Grassi
In this paper, we investigate the mesoscale structure of the World Trade Network. In this framework, a specific role is assumed by short and long-range interactions, and hence by t…
Multi-attribute community detection in International Trade Network
Paolo Bartesaghi, Stefano Benati, Gian Paolo Clemente +1
Understanding the structure of communities in a network has a great importance in the economic analysis. Communities are indeed characterized by specific properties, that are diffe…
Risk-dependent centrality in economic and financial networks
Paolo Bartesaghi, Michele Benzi, Gian Paolo Clemente +2
Node centrality is one of the most important and widely used concepts in the study of complex networks. Here, we extend the paradigm of node centrality in financial and economic ne…