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 …

Practical Parallel Algorithms for Near-Optimal Densest Subgraphs on Massive Graphs

P Sukprasert, QC Liu, L Dhulipala, J Shun - 2024 Proceedings of the …, 2024 - SIAM
The densest subgraph problem has received significant attention, both in theory and in
practice, due to its applications in problems such as community detection, social network …

A survey of densest subgraph discovery on large graphs

W Luo, C Ma, Y Fang, LVS Lakshmanan - arXiv preprint arXiv:2306.07927, 2023 - arxiv.org
With the prevalence of graphs for modeling complex relationships among objects, the topic
of graph mining has attracted a great deal of attention from both academic and industrial …

On the generalized mean densest subgraph problem: complexity and algorithms

C Chekuri, MR Torres - arXiv preprint arXiv:2306.02172, 2023 - arxiv.org
Dense subgraph discovery is an important problem in graph mining and network analysis
with several applications. Two canonical problems here are to find a maxcore (subgraph of …

Densest subhypergraph: Negative supermodular functions and strongly localized methods

Y Huang, DF Gleich, N Veldt - Proceedings of the ACM on Web …, 2024 - dl.acm.org
Dense subgraph discovery is a fundamental primitive in graph and hypergraph analysis
which among other applications has been used for real-time story detection on social media …

Convergence to lexicographically optimal base in a (contra) polymatroid and applications to densest subgraph and tree packing

E Harb, K Quanrud, C Chekuri - arXiv preprint arXiv:2305.02987, 2023 - arxiv.org
Boob et al.[1] described an iterative peeling algorithm called Greedy++ for the Densest
Subgraph Problem (DSG) and conjectured that it converges to an optimum solution …

Efficient Algorithms for Density Decomposition on Large Static and Dynamic Graphs

Y Zhang, RH Li, Q Zhang, H Qin, G Wang - Proceedings of the VLDB …, 2024 - dl.acm.org
Locally-densest subgraph (LDS) decomposition is a fundamental decomposition in graph
analysis that finds numerous applications in various domains, including community …

A Counting-based Approach for Efficient k-Clique Densest Subgraph Discovery

Y Zhou, Q Guo, Y Fang, C Ma - Proceedings of the ACM on Management …, 2024 - dl.acm.org
Densest subgraph discovery (DSD) is a fundamental topic in graph mining. It has been
extensively studied in the literature and has found many real applications in a wide range of …

Efficient and Effective Anchored Densest Subgraph Search: A Convex-programming based Approach

X Ye, RH Li, L Liang, Z Liu, L Lin, G Wang - Proceedings of the 30th ACM …, 2024 - dl.acm.org
The quest to identify local dense communities closely connected to predetermined seed
nodes is vital across numerous applications. Given the seed nodes R, the R-subgraph …

In-depth Analysis of Densest Subgraph Discovery in a Unified Framework

Y Zhou, Q Guo, Y Yang, Y Fang, C Ma… - arXiv preprint arXiv …, 2024 - arxiv.org
As a fundamental topic in graph mining, Densest Subgraph Discovery (DSD) has found a
wide spectrum of real applications. Several DSD algorithms, including exact and …