A survey on the densest subgraph problem and its variants

T Lanciano, A Miyauchi, A Fazzone, F Bonchi - ACM Computing Surveys, 2024‏ - dl.acm.org
The Densest Subgraph Problem requires us to find, in a given graph, a subset of vertices
whose induced subgraph maximizes a measure of density. The problem has received a …

Scalable motif-aware graph clustering

CE Tsourakakis, J Pachocki… - Proceedings of the 26th …, 2017‏ - dl.acm.org
We develop new methods based on graph motifs for graph clustering, allowing more
efficient detection of communities within networks. We focus on triangles within graphs, but …

Listing k-cliques in sparse real-world graphs

M Danisch, O Balalau, M Sozio - Proceedings of the 2018 World Wide …, 2018‏ - dl.acm.org
Motivated by recent studies in the data mining community which require to efficiently list all k-
cliques, we revisit the iconic algorithm of Chiba and Nishizeki and develop the most efficient …

Antibenford subgraphs: Unsupervised anomaly detection in financial networks

T Chen, C Tsourakakis - Proceedings of the 28th ACM SIGKDD …, 2022‏ - dl.acm.org
Benford's law describes the distribution of the first digit of numbers appearing in a wide
variety of numerical data, including tax records, and election outcomes, and has been used …

Efficient algorithms for densest subgraph discovery

Y Fang, K Yu, R Cheng, LVS Lakshmanan… - arxiv preprint arxiv …, 2019‏ - arxiv.org
Densest subgraph discovery (DSD) is a fundamental problem in graph mining. It has been
studied for decades, and is widely used in various areas, including network science …

Densest subgraph: Supermodularity, iterative peeling, and flow

C Chekuri, K Quanrud, MR Torres - Proceedings of the 2022 Annual ACM …, 2022‏ - SIAM
The densest subgraph problem in a graph (DSG), in the simplest form, is the following.
Given an undirected graph G=(V, E) find a subset S⊆ V of vertices that maximizes the ratio …

Efficient bitruss decomposition for large-scale bipartite graphs

K Wang, X Lin, L Qin, W Zhang… - 2020 IEEE 36th …, 2020‏ - ieeexplore.ieee.org
Cohesive subgraph mining in bipartite graphs becomes a popular research topic recently.
An important structure k-bitruss is the maximal cohesive subgraph where each edge is …

Pangolin: An efficient and flexible graph mining system on cpu and gpu

X Chen, R Dathathri, G Gill, K **ali - Proceedings of the VLDB …, 2020‏ - dl.acm.org
There is growing interest in graph pattern mining (GPM) problems such as motif counting.
GPM systems have been developed to provide unified interfaces for programming …

Efficient algorithms for densest subgraph discovery on large directed graphs

C Ma, Y Fang, R Cheng, LVS Lakshmanan… - Proceedings of the …, 2020‏ - dl.acm.org
Given a directed graph G, the directed densest subgraph (DDS) problem refers to the finding
of a subgraph from G, whose density is the highest among all the subgraphs of G. The DDS …

Differential privacy from locally adjustable graph algorithms: k-core decomposition, low out-degree ordering, and densest subgraphs

L Dhulipala, QC Liu, S Raskhodnikova… - 2022 IEEE 63rd …, 2022‏ - ieeexplore.ieee.org
Differentially private algorithms allow large-scale data analytics while preserving user
privacy. Designing such algorithms for graph data is gaining importance with the growth of …