Investigating Higher-Order Connectivity for Epidemic Spread

Franck Kalala Mutombo, Colleen Molloy Farrelly

Keywords: Higher-order connectivity, Epidemic spread, Hodge Laplacian, Simplicial complex, Epidemic severity, Higher-order structures

TL;DR: This paper explores how higher-order connectivity influences epidemic spread using Hodge Laplacian traces to classify networks, with simulations applied to a dolphin social network.

Abstract: This study examines the role of higher-order connectivity in epidemic spread across networks and considers Hodge Laplacian traces to classify network types based on higher-order influence on epidemic severity. Application of simulation results to a social network of dolphins suggests real-world applicability of our main findings. Epidemic behavior is based on rich varieties of simplices included in the simplicial complex.

Submission Number: 2