1 citations · 1 across the 4 of their papers we have counts for
4 papers
Efficient Community Detection in Large-Scale Dynamic Networks Using Topological Data Analysis
Wei Guo, Ruqian Chen, Yen-Chi Chen +1
In this paper, we propose a method that extends the persistence-based topological data analysis (TDA) that is typically used for characterizing shapes to general networks. We intro…
A Note on Community Trees in Networks
Ruqian Chen, Yen-Chi Chen, Wei Guo +1
We introduce the concept of community trees that summarizes topological structures within a network. A community tree is a tree structure representing clique communities from the c…
Non-archimedean connected Julia sets with branching
Dvij Bajpai, Robert L. Benedetto, Ruqian Chen +4
We construct the first examples of rational functions defined over a non-archimedean field with certain dynamical properties. In particular, we find such functions whose Julia sets…
Small dynamical heights for quadratic polynomials and rational functions
Robert L. Benedetto, Ruqian Chen, Trevor Hyde +2
Let be a polynomial or rational function of degree 2. A special case of Morton and Silverman's Dynamical Uniform Boundedness Conjecture states that the number of ratio…