A scalable generative graph model with community structure

TG Kolda, A Pinar, T Plantenga, C Seshadhri - SIAM Journal on Scientific …, 2014 - SIAM
Network data is ubiquitous and growing, yet we lack realistic generative network models that
can be calibrated to match real-world data. The recently proposed block two-level Erdös …

Testing for high‐dimensional geometry in random graphs

S Bubeck, J Ding, R Eldan… - Random Structures & …, 2016 - Wiley Online Library
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 the hierarchy of dense subgraphs using nucleus decompositions

AE Sariyuce, C Seshadhri, A Pinar… - proceedings of the 24th …, 2015 - dl.acm.org
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 …

Finding cliques in social networks: A new distribution-free model

J Fox, T Roughgarden, C Seshadhri, F Wei… - SIAM journal on …, 2020 - SIAM
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 …

Overlapping community detection in labeled graphs

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 …

Latent distance estimation for random geometric graphs

E Araya Valdivia, DC Yohann - Advances in Neural …, 2019 - proceedings.neurips.cc
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 spectral sparsifiers and community detection

K Sotiropoulos, CE Tsourakakis - Proceedings of the 27th ACM SIGKDD …, 2021 - dl.acm.org
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 …

A simple statistic for determining the dimensionality of complex networks

T Friedrich, A Göbel, M Katzmann, L Schiller - arXiv preprint arXiv …, 2023 - arxiv.org
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 …

Nucleus decompositions for identifying hierarchy of dense subgraphs

AE Sariyüce, C Seshadhri, A Pinar… - ACM Transactions on the …, 2017 - dl.acm.org
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 …

[HTML][HTML] Simplifying social networks via triangle-based cohesive subgraphs

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 …