TopoNets 2020

Networks beyond pairwise interactions

Satellite @ NetSci 2020 Rome - September 18, 19


The complexity of many biological, social and technological systems stems from the richness of the interactions among their units. Over the past two decades, a great variety of complex systems has been successfully described as networks whose interacting pairs of nodes are connected by links. Yet, from face-to-face human communications to chemical and biological reactions, many interactions in networked systems cannot be described by simple dyads, as they can occur in groups composed by any number of units. Until recently, little attention has been devoted to such high-order architecture of real complex systems. However, a mounting body of evidence is showing that taking the high-order structure of these systems into account can greatly enhance our modelling capacities and help us to understand and predict their emerging dynamical behaviours.

The aim of this satellite is to provide a coherent window on the emerging subfield of networks beyond pairwise interactions. In particular, we will discuss how to represent higher-order interacting systems, and how to unify the diverse frameworks most commonly used to describe higher-order interactions, highlighting the numerous links between the existing concepts and representations. We also focus on recent advancements on the structural measures developed to characterize the structure of these systems, on the related generative models, and on novel emergent phenomena characterizing landmark dynamical processes when extended beyond pairwise interactions.


Queen Mary University of London

Simplicial complexes and dynamics


Topological tools for network description

International Centre for Theoretical Physics

Higher-order interactions in ecological systems

Queen Mary University of London

The dynamics of higher-order interactions

Indiana University

Topological characterization of multi-variate brain dynamics

RWTH Aachen University

Signal Processing and random walks on graphs and simplicial complexes


Friday, September 18 2020, 13:15-18:00 (CET)

  • 13:15 - 13:30 Opening

  • 13:30 - 14:45 Ecosystems and biology

    • Jacopo Grilli (International Centre for Theoretical Physics)

Higher-order interactions in ecological systems
    • Sergi Valverde, Blai Vidiella

Hidden dimensions: coexistence of nestedness and modularity reveals the hypergraph nature of ecological architecture
  • Florian Klimm, Charlotte M. Deane, Gesine Reinert

Hypergraphs for predicting essential genes using multiprotein complex data
  • Emerson G. Escolar, Yasuaki Hiraoka, Mitsuru Igami, Yasin Ozcan

Mapping Firms’ Locations in Technological Space: A Topological Analysis of Patent Statistics
  • 14:45 - 15:00 Virtual Coffee Break

  • 15:00 - 16:15 Social systems and contagion

    • Vito Latora (Queen Mary University of London)

The dynamics of higher-order interactions
    • Nicholas Landry, Juan Restrepo

The effect of heterogeneity on hypergraph contagion models
    • Byungnam Kahng, Yongsun Lee, Jongshin Lee, Deokjae Lee

Topological phase transitions in growing coauthorship complexes
  • 16:15 - 16:30 Virtual Coffee Break

  • 16:30 - 17:45 Methods

    • Ulderico Fugacci (CNR - IMATI)

Topological tools for network description
    • Marco Guerra, Alessandro De Gregorio, Ulderico Fugacci, Giovanni Petri, Francesco Vaccarino

Homological Scaffold via Minimal Homology Bases
  • Robin Wooyeong Na, Bryan Daniels, Kenneth Aiello

Higher-order generalization of network density: the k-power clique density and its decay period
    • Anibal Medina, Fernando Rosas, Rodrigo Cofre, Pedro Mediano

Dimensionality reduction of high-order signals via hyperharmonic modes
  • 17:45 - 18:00 Closing

Saturday, September 19 2020, 13:15-18:00 (CET)

  • 13:15 - 13:30 Opening

  • 13:30 - 14:45 Dynamical systems

    • Ginestra Bianconi (Queen Mary University of London)

Simplicial complexes and dynamics
    • Maxime Lucas, Giulia Cencetti, Federico Battiston

A multi-order Laplacian for synchronization in higher-order networks
  • Anastasiya Salova, Raissa D'Souza

Cluster synchronization on hypergraphs
  • Timoteo Carletti, Duccio Fanelli, Sara Nicoletti

Dynamical systems on Hypergraphs
  • 14:45 - 15:00 Virtual Coffee Break

  • 15:00 - 16:15 Random walks, clustering and embedding

    • Michael Schaub (RWTH Aachen University)

Signal Processing and random walks on graphs and simplicial complexes
    • Stefania Ebli, Gard Spreemsann

A Notion of Harmonic Clustering in Simplicial Complexes
  • Francesca Arrigo, Desmond J. Higham, Francesco Tudisco

Mutual reinforcement at higher-order
  • Celia Hacker

Vector Representations of Simplicial Complexes
  • 16:15 - 16:30 Virtual Coffee Break

  • 16:30 - 17:45 Higher-order neuroscience

    • Alice Patania (Indiana University)

Topological characterization of multi-variate brain dynamics
    • Marilyn Gatica, Rodrigo Cofre, Pedro Mediano, Fernando Rosas, Patricio Orio, Ibai Diez, Stephan Swinnen, Jesus Cortes

High-order interdependencies in the aging brain
  • Leonardo Novelli, Fatihcan M. Atay, Juergen Jost, Joseph T. Lizier

Deriving pairwise transfer entropy from network structure and motifs
  • Fernando A N Santos, Ernesto P Raposo, Maurício Domingues Coutinho-Filho, Mauro Copelli, Cornelis J Stam, Linda Douw

Topological Phase Transitions in Functional Brain Networks
  • 17:45 - 18:00 Closing


All meeting participants need to be registered to the main conference here (full conference or single day).


Federico Battiston

Central European University

Iacopo Iacopini

Queen Mary University of London & University College London

Giovanni Petri

ISI Foundation

Francesco Vaccarino

Polytechnic University of Turin


The satellite will have space for contributed talks in the form of 10/15-minute presentations. Participants are invited to submit an abstract in PDF format using the EasyChair website (button below).

Topics of interest relate to higher-order structures (HOrSs) and network topology, and include

  • Higher-order representations of interacting systems

  • Structural measures for HOrS

  • Generative models for HOrS (growing simplicial complexes, bipartite graphs, hypergraphs etc.)

  • Dynamical processes on HOrS (diffusion, spreading, synchronization, games etc.)

  • Applications to real-world systems (TDA)

  • Stochastic topology

  • Topological properties of network embedding into metric or pseudo-metric spaces

  • Topological properties of geometric representations of networks

Submissions should be at most 2 pages long (figure included) and should include: title, author(s), affiliation(s), and e-mail address(es).

Submissions will be evaluated and selected by the Program Committee members, based on the adherence with the theme of the satellite, originality and scientific soundness.

Deadline for submissions: July 15.

Acceptance notifications: by July 21 (deadline of EarlyBird registration)

Authors not already registered on EasyChair should sign up for an account (please note: make sure to use the same email address as the one used for the conference registration).