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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, biological analysis, and graph databases. Given a graph G, DSD aims…

Databases · Computer Science 2019-08-08 Yixiang Fang , Kaiqiang Yu , Reynold Cheng , Laks V. S. Lakshmanan , Xuemin Lin

Dense subgraph discovery is a key primitive in many graph mining applications, such as detecting communities in social networks and mining gene correlation from biological data. Most studies on dense subgraph mining only deal with one…

Social and Information Networks · Computer Science 2018-02-21 Yu Yang , Lingyang Chu , Yanyan Zhang , Zhefeng Wang , Jian Pei , Enhong Chen

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 approximation algorithms, have been proposed in the literature. However,…

Databases · Computer Science 2024-06-10 Yingli Zhou , Qingshuo Guo , Yi Yang , Yixiang Fang , Chenhao Ma , Laks Lakshmanan

Mining dense quasi-cliques is a well-known clustering task with applications ranging from social networks over collaboration graphs to document analysis. Recent work has extended this task to multiple graphs; i.e. the goal is to find groups…

Artificial Intelligence · Computer Science 2018-10-04 Roberto Alonso , Stephan Günnemann

The graph retrieval problem is to search in a large corpus of graphs for ones that are most similar to a query graph. A common consideration for scoring similarity is the maximum common subgraph (MCS) between the query and corpus graphs,…

Machine Learning · Computer Science 2022-10-21 Indradyumna Roy , Soumen Chakrabarti , Abir De

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 standard formulations of this problem (like clique, quasiclique,…

Social and Information Networks · Computer Science 2015-03-10 Ahmet Erdem Sariyuce , C. Seshadhri , Ali Pinar , Umit V. Catalyurek

Given a directed graph $G$ and integers $k$ and $l$, a D-core is the maximal subgraph $H \subseteq G$ such that for every vertex of $H$, its in-degree and out-degree are no smaller than $k$ and $l$, respectively. For a directed graph $G$,…

Databases · Computer Science 2022-02-15 Xuankun Liao , Qing Liu , Jiaxin Jiang , Xin Huang , Jianliang Xu , Byron Choi

Community search is a widely studied semi-supervised graph clustering problem, retrieving a high-quality connected subgraph containing the user-specified query vertex. However, existing methods primarily focus on cohesiveness within the…

Social and Information Networks · Computer Science 2025-08-05 Longlong Lin , Yue He , Wei Chen , Pingpeng Yuan , Rong-Hua Li , Tao Jia

Finding dense subgraphs in a graph is a fundamental graph mining task, with applications in several fields. Algorithms for identifying dense subgraphs are used in biology, in finance, in spam detection, etc. Standard formulations of this…

Data Structures and Algorithms · Computer Science 2018-07-10 G. Nikolentzos , P. Meladianos , Y. Stavrakas , M. Vazirgiannis

Identifying dense subgraphs known as quasi-cliques is pivotal in numerous graph mining tasks across domains such as social networks, biology, and e-commerce. While prior work has developed efficient algorithms for quasi-clique detection in…

Social and Information Networks · Computer Science 2026-05-27 Jingbang Chen , Weinuo Li , Yingli Zhou , Hao Wu , Can Wang , Yixiang Fang , Chenhao Ma

Given a graph G and a query vertex q, the topic of community search (CS), aiming to retrieve a dense subgraph of G containing q, has gained much attention. Most existing works focus on undirected graphs which overlooks the rich information…

Databases · Computer Science 2023-11-20 Yankai Chen , Jie Zhang , Yixiang Fang , Xin Cao , Irwin King

Given a large network and a query node, finding its top-k similar nodes is a primitive operation in many graph-based applications. Recently enhancing search results with diversification have received much attention. In this paper, we…

Information Retrieval · Computer Science 2016-08-19 Zaiqiao Meng , Hong Shen

We propose new graph representations that exploit dense local structure to improve time and space simultaneously. Given an undirected graph $G$, we define a dual clique cover (DCC) representation of $G$ to be the pair $(C, L)$, where $C$ is…

Data Structures and Algorithms · Computer Science 2026-05-01 Ahammed Ullah , Alex Pothen

Mining cohesive subgraphs in attributed graphs is an essential problem in the domain of graph data analysis. The integration of fairness considerations significantly fuels interest in models and algorithms for mining fairness-aware cohesive…

Databases · Computer Science 2023-12-08 Qi Zhang , Rong-Hua Li , Zifan Zheng , Hongchao Qin , Ye Yuan , Guoren Wang

Dense subgraph discovery methods are routinely used in a variety of applications including the identification of a team of skilled individuals for collaboration from a social network. However, when the network's node set is associated with…

Social and Information Networks · Computer Science 2023-06-06 Atsushi Miyauchi , Tianyi Chen , Konstantinos Sotiropoulos , Charalampos E. Tsourakakis

Mining dense subgraphs is an important primitive across a spectrum of graph-mining tasks. In this work, we formally establish that two recurring characteristics of real-world graphs, namely heavy-tailed degree distributions and large…

Social and Information Networks · Computer Science 2020-08-19 Aritra Konar , Nicholas D. Sidiropoulos

The problem of finding the densest subgraph in a given graph has several applications in graph mining, particularly in areas like social network analysis, protein and gene analyses etc. Depending on the application, finding dense subgraphs…

Data Structures and Algorithms · Computer Science 2019-11-07 Naga V. C. Gudapati , Enrico Malaguti , Michele Monaci

$k$-core is a subgraph where every node has at least $k$ neighbors within the subgraph. The $k$-core subgraphs has been employed in large platforms like Network Repository to comprehend the underlying structures and dynamics of the network.…

Data Structures and Algorithms · Computer Science 2024-03-15 Yiping Liu , Bo Yan , Bo Zhao , Hongyi Su , Yang Chen , Michael Witbrock

Quasi-cliques are dense incomplete subgraphs of a graph that generalize the notion of cliques. Enumerating quasi-cliques from a graph is a robust way to detect densely connected structures with applications to bio-informatics and social…

Data Structures and Algorithms · Computer Science 2020-02-04 Seyed-Vahid Sanei-Mehri , Apurba Das , Srikanta Tirthapura

Identifying cohesive subgraphs in hypergraphs is a fundamental problem that has received recent attention in data mining and engineering fields. Existing approaches mainly focus on a strongly induced subhypergraph or edge cardinality,…

Social and Information Networks · Computer Science 2023-09-19 Dahee Kim , Junghoon Kim , Sungsu Lim , Hyun Ji Jeong
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