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On the Emergence of Shortest Paths by Reinforced Random Walks
Daniel R. Figueiredo, Michele Garetto
The co-evolution between network structure and functional performance is a fundamental and challenging problem whose complexity emerges from the intrinsic interdependent nature of…
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…
On the Duration and Intensity of Competitions in Nonlinear Pólya Urn Processes with Fitness
Bo Jiang, Daniel R. Figueiredo, Bruno Ribeiro +1
Cumulative advantage (CA) refers to the notion that accumulated resources foster the accumulation of further resources in competitions, a phenomenon that has been empirically obser…
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…