activity
20062026
most citedLarge Communities in a scale-free network

9 citations · 56 across the 27 of their papers we have counts for

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23 papers · 1 filter

math.PR2023

Clustering and Cliques in P.A random graphs with edge insertion

Caio Alves, Rodrigo Ribeiro, Rémy Sanchis

In this paper, we investigate the global clustering coefficient (a.k.a transitivity) and clique number of graphs generated by a preferential attachment random graph model with an a…

math.PR2021

Upper bounds for critical probabilities in Bernoulli Percolation models

Pablo A. Gomes, Alan Pereira, Remy Sanchis

We consider bond and site Bernoulli Percolation in both the oriented and the non-oriented cases on and obtain rigorous upper bounds for the critical points in those…

math.PR2021★ 1 cited

Anisotropic non-oriented bond percolation in high dimensions

Pablo A. Gomes, Alan Pereira, Remy Sanchis

We consider inhomogeneous non-oriented Bernoulli bond percolation on , where each edge has a parameter depending on its direction. We prove that, under certain condit…

math.PR2020★ 1 cited

Constrained-degree percolation in random environment

Rémy Sanchis, Diogo C. dos Santos, Roger W. C. Silva

We consider the Constrained-degree percolation model in random environment on the square lattice. In this model, each vertex has an independent random constraint which ta…

math.PR2020

Strict inequality for bond percolation on a dilute lattice with columnar disorder

Marcelo R. Hilário, Marcos Sá, Rémy Sanchis

We consider a dilute lattice obtained from the usual lattice by removing independently each of its columns with probability . In the remaining dilute lattice in…

math.PR2020

The Constrained-degree percolation model

Bernardo N. B. de Lima, Rémy Sanchis, Diogo C. dos Santos +2

In the Constrained-degree percolation model on a graph there are a sequence, , of i.i.d. random variables with distribution $U[0,1…