We study the problem of detecting the presence of an underlying high‐dimensional geometric structure in a random graph. Under the null hypothesis, the observed graph is a …
Finding dense substructures in a graph is a fundamental graph mining operation, with applications in bioinformatics, social networks, and visualization to name a few. Yet most …
We propose a new distribution-free model of social networks. Our definitions are motivated by one of the most universal signatures of social networks, triadic closure---the property that …
E Galbrun, A Gionis, N Tatti - Data Mining and Knowledge Discovery, 2014 - Springer
We present a new approach for the problem of finding overlapping communities in graphs and social networks. Our approach consists of a novel problem definition and three …
Random geometric graphs are a popular choice for a latent points generative model for networks. Their definition is based on a sample of $ n $ points $ X_1, X_2,\cdots, X_n $ on …
Triangle-aware graph partitioning has proven to be a successful approach to finding communities in real-world data [8, 40, 51, 54]. But how can we explain its empirical success …
Detecting the dimensionality of graphs is a central topic in machine learning. While the problem has been tackled empirically as well as theoretically, existing methods have several …
Finding dense substructures in a graph is a fundamental graph mining operation, with applications in bioinformatics, social networks, and visualization to name a few. Yet most …
R Pan, Y Wang, J Sun, H Liu, Y Zhao, J Xia, W Chen - Visual Informatics, 2023 - Elsevier
One main challenge for simplifying node-link diagrams of large-scale social networks lies in that simplified graphs generally contain dense subgroups or cohesive subgraphs. Graph …