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The end time of SIS epidemics driven by random walks on edge-transitive graphs
Daniel Figueiredo, Giulio Iacobelli, Seva Shneer
Network epidemics is a ubiquitous model that can represent different phenomena and finds applications in various domains. Among its various characteristics, a fundamental question…
Transient and Slim versus Recurrent and Fat: Random Walks and the Trees they Grow
Giulio Iacobelli, Daniel R. Figueiredo, Giovanni Neglia
Network growth models that embody principles such as preferential attachment and local attachment rules have received much attention over the last decade. Among various approaches,…
Building your path to escape from home
Daniel R. Figueiredo, Giulio Iacobelli, Roberto I. Oliveira +2
Random walks on dynamic graphs have received increasingly more attention from different academic communities over the last decade. Despite the relatively large literature, little i…
Local symmetry in random graphs
Jefferson Elbert Simões, Daniel R. Figueiredo, Valmir C. Barbosa
Quite often real-world networks can be thought of as being symmetric, in the abstract sense that vertices can be found to have similar or equivalent structural roles. However, trad…
Power-law decay of the degree-sequence probabilities of multiple random graphs with application to graph isomorphism
Jefferson Elbert Simões, Daniel R. Figueiredo, Valmir C. Barbosa
We consider events over the probability space generated by the degree sequences of multiple independent Erdős-Rényi random graphs, and consider an approximation probability space w…