9 citations · 56 across the 27 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.PR2015★ 9 cited
Large Communities in a scale-free network
Caio Alves, Rodrigo Ribeiro, Remy Sanchis
We prove the existence of a large complete subgraph w.h.p. in a preferential attachment random graph process with an edge-step. That is, we prove that the random graph prod…
math.CO2015★ 7 cited
A local lemma via entropy compression
Rogério G. Alves, Aldo Procacci, Remy Sanchis
In the framework of the probabilistic method in combinatorics, we revisit the entropy compression method clarifying the setting in which it can be applied and providing a theorem y…
math.PR2015★ 3 cited
A remark on monotonicity in Bernoulli bond Percolation
Bernardo N. B. de Lima, Aldo Procacci, Rémy Sanchis
Consider an anisotropic independent bond percolation model on the -dimensional hypercubic lattice, , with parameter . We show that the two point connectivity functio…