24 citations · 62 across the 8 of their papers we have counts for
10 papers · 1 filter
Clustering in a preferential attachment network with triangles
Angelica Pachon, Robin Stephenson
We study a generalization of the affine preferential attachment model where triangles are randomly added to the graph. We show that the model exhibits an asymptotically power-law d…
Phase transition in preferential attachment-detachment through embedding
Michael Hinz, Angelica Pachon
We study a random graph model with preferential edge attachment and detachment through the embedding into a generalized Yule model. We show that the in-degree distribution of a ver…
Upper bounds for the largest components in critical inhomogeneous random graphs
Umberto De Ambroggio, Angelica Pachon
We consider the Norros-Reittu random graph , where edges are present independently but edge probabilities are moderated by vertex weights, and use probabilistic a…
On discrete-time semi-Markov processes
Angelica Pachon, Federico Polito, Costantino Ricciuti
In the last years, many authors studied a class of continuous time semi-Markov processes obtained by time-changing Markov processes by hitting times of independent subordinators. S…
Scale-free behavior of networks with the copresence of preferential and uniform attachment rules
Angelica Pachon, Laura Sacerdote, Shuyi Yang
Complex networks in different areas exhibit degree distributions with heavy upper tail. A preferential attachment mechanism in a growth process produces a graph with this feature.…
Phase transition for the Maki-Thompson rumour model on a small-world network
Elena Agliari, Angelica Pachon, Pablo M. Rodriguez +1
We consider the Maki-Thompson model for the stochastic propagation of a rumour within a population. We extend the original hypothesis of homogenously mixed population by allowing f…
On the continuous-time limit of the Barabási-Albert random graph
Angelica Pachon, Federico Polito, Laura Sacerdote
We prove that the Barabási-Albert model converges weakly to a set of generalized Yule models via an appropriate scaling. To pursue this aim we superimpose to its graph structure a…
Reconstruction of a multidimensional scenery with a branching random walk
Heinrich Matzinger, Serguei Popov, Angelica Pachon
In this paper we consider a d-dimensional scenery seen along a simple symmetric branching random walk, where at each time each particle gives the color record it is seeing. We show…
Random Graphs Associated to some Discrete and Continuous Time Preferential Attachment Models
Angelica Pachon, Federico Polito, Laura Sacerdote
We give a common description of Simon, Barabási--Albert, II-PA and Price growth models, by introducing suitable random graph processes with preferential attachment mechanisms. Thro…
The phase transition in the multi-type binomial random graph
Mihyun Kang, Christoph Koch, Angélica Pachón
We determine the asymptotic size of the largest component in the -type binomial random graph near criticality using a refined branching process approach. In $G…