survey

A Survey on the Densest Subgraph Problem and its Variants

Authors:

Tommaso Lanciano,

Atsushi Miyauchi,

Adriano Fazzone,

Francesco BonchiAuthors Info & Claims

ACM Computing Surveys, Volume 56, Issue 8

Article No.: 208, Pages 1 - 40

https://doi.org/10.1145/3653298

Published: 30 April 2024 Publication History

Abstract

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 great deal of attention in the algorithmic literature since the early 1970s, with many variants proposed and many applications built on top of this basic definition. Recent years have witnessed a revival of research interest in this problem with several important contributions, including some groundbreaking results, published in 2022 and 2023. This survey provides a deep overview of the fundamental results and an exhaustive coverage of the many variants proposed in the literature, with a special attention to the most recent results. The survey also presents a comprehensive overview of applications and discusses some interesting open problems for this evergreen research topic.

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Index Terms

A Survey on the Densest Subgraph Problem and its Variants
1. Theory of computation
  1. Design and analysis of algorithms
    1. Graph algorithms analysis

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cover image ACM Computing Surveys

ACM Computing Surveys Volume 56, Issue 8

August 2024

963 pages

EISSN:1557-7341

DOI:10.1145/3613627

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David Atienza
Swiss Federal Institute of Technology Lausanne (EPFL), Switzerland
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Michela Milano
University of Bologna, Italy

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Publication History

Published: 30 April 2024

Online AM: 22 March 2024

Accepted: 07 March 2024

Revised: 21 January 2024

Received: 28 March 2023

Published in CSUR Volume 56, Issue 8

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Feng WWang LHooi BNg SLiu S(2024)Interrelated Dense Pattern Detection in Multilayer NetworksIEEE Transactions on Knowledge and Data Engineering10.1109/TKDE.2024.339868336:11(6462-6476)Online publication date: Nov-2024
https://doi.org/10.1109/TKDE.2024.3398683
Liu DWang RZou ZHuang X(2024)Fast Multilayer Core Decomposition and Indexing2024 IEEE 40th International Conference on Data Engineering (ICDE)10.1109/ICDE60146.2024.00211(2695-2708)Online publication date: 13-May-2024
https://doi.org/10.1109/ICDE60146.2024.00211
Wickrama Arachchi CTatti N(2024)Jaccard-constrained dense subgraph discoveryMachine Learning10.1007/s10994-024-06595-yOnline publication date: 23-Jul-2024
https://doi.org/10.1007/s10994-024-06595-y
He TLiu STawarmalani M(2024)Convexification techniques for fractional programsMathematical Programming10.1007/s10107-024-02131-xOnline publication date: 16-Aug-2024
https://doi.org/10.1007/s10107-024-02131-x
Behrouz AHashemi F(2024)Generalized Densest Subgraph in Multiplex NetworksComplex Networks & Their Applications XII10.1007/978-3-031-53472-0_5(49-61)Online publication date: 21-Feb-2024
https://doi.org/10.1007/978-3-031-53472-0_5

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