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We consider a variant of the densest subgraph problem in networks with single or multiple edge attributes. For example, in a social network, the edge attributes may describe the type of relationship between users, such as friends, family,…

社会与信息网络 · 计算机科学 2024-02-15 Lutz Oettershagen , Honglian Wang , Aristides Gionis

Dense subgraph extraction is a fundamental problem in graph analysis and data mining, aimed at identifying cohesive and densely connected substructures within a given graph. It plays a crucial role in various domains, including social…

数据结构与算法 · 计算机科学 2024-03-01 Chia-Yang Hung , Chih-Ya Shen

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…

数据库 · 计算机科学 2019-08-08 Yixiang Fang , Kaiqiang Yu , Reynold Cheng , Laks V. S. Lakshmanan , Xuemin Lin

The problem of finding dense components of a graph is a widely explored area in data analysis, with diverse applications in fields and branches of study including community mining, spam detection, computer security and bioinformatics. This…

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,…

数据库 · 计算机科学 2024-06-10 Yingli Zhou , Qingshuo Guo , Yi Yang , Yixiang Fang , Chenhao Ma , Laks Lakshmanan

In distributed networks, it is often useful for the nodes to be aware of dense subgraphs, e.g., such a dense subgraph could reveal dense subtructures in otherwise sparse graphs (e.g. the World Wide Web or social networks); these might…

分布式、并行与集群计算 · 计算机科学 2012-08-08 Atish Das Sarma , Ashwin Lall , Danupon Nanongkai , Amitabh Trehan

Given a graph, the densest subgraph problem asks for a set of vertices such that the average degree among these vertices is maximized. Densest subgraph has numerous applications in learning, e.g., community detection in social networks,…

密码学与安全 · 计算机科学 2022-11-15 Alireza Farhadi , MohammadTaghi Hajiaghayi , Elaine Shi

Densest subgraph detection is a fundamental graph mining problem, with a large number of applications. There has been a lot of work on efficient algorithms for finding the densest subgraph in massive networks. However, in many domains, the…

数据结构与算法 · 计算机科学 2024-06-05 Dung Nguyen , Anil Vullikanti

A central problem in graph mining is finding dense subgraphs, with several applications in different fields, a notable example being identifying communities. While a lot of effort has been put on the problem of finding a single dense…

数据结构与算法 · 计算机科学 2019-01-31 Riccardo Dondi , Mohammad Mehdi Hosseinzadeh , Giancarlo Mauri , Italo Zoppis

Many real-world networks can be modeled as graphs. Finding dense subgraphs is a key problem in graph mining with applications in diverse domains. In this paper, we consider two variants of the densest subgraph problem where multiple graph…

数据结构与算法 · 计算机科学 2025-02-04 Chamalee Wickrama Arachchi , Nikolaj Tatti

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 communities in recent years. As one of the most fundamental…

社会与信息网络 · 计算机科学 2026-04-21 Wensheng Luo , Chenhao Ma , Yixiang Fang , Laks V. S. Lakshmanan

We study the densest subgraph problem and its NP-hard densest at-most-$k$ subgraph variant through the lens of learning-augmented algorithms. We show that, given a reasonably accurate predictor that estimates whether a node belongs to the…

数据结构与算法 · 计算机科学 2026-04-16 Thai Bui , Luan Nguyen , Hoa T. Vu

We study the recently introduced problem of finding dense common subgraphs: Given a sequence of graphs that share the same vertex set, the goal is to find a subset of vertices $S$ that maximizes some aggregate measure of the density of the…

数据结构与算法 · 计算机科学 2018-02-20 Moses Charikar , Yonatan Naamad , Jimmy Wu

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 and improving access to data stores of social networking…

数据结构与算法 · 计算机科学 2024-02-23 Yufan Huang , David F. Gleich , Nate Veldt

Given an undirected graph $G$, the Densest $k$-subgraph problem (DkS) asks to compute a set $S \subset V$ of cardinality $\left\lvert S\right\rvert \leq k$ such that the weight of edges inside $S$ is maximized. This is a fundamental NP-hard…

数据结构与算法 · 计算机科学 2020-11-10 Yash Khanna , Anand Louis

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…

数据结构与算法 · 计算机科学 2018-07-10 G. Nikolentzos , P. Meladianos , Y. Stavrakas , M. Vazirgiannis

Dense subgraph discovery is a fundamental problem in graph mining with a wide range of applications \cite{gionis2015dense}. Despite a large number of applications ranging from computational neuroscience to social network analysis, that take…

社会与信息网络 · 计算机科学 2021-12-08 Tianyi Chen , Francesco Bonchi , David Garcia-Soriano , Atsushi Miyauchi , Charalampos E. Tsourakakis

Computing the densest subgraph is a primitive graph operation with critical applications in detecting communities, events, and anomalies in biological, social, Web, and financial networks. In this paper, we study the novel problem of Most…

社会与信息网络 · 计算机科学 2022-12-23 Arkaprava Saha , Xiangyu Ke , Arijit Khan , Cheng Long

Given a dynamic network, where edges appear and disappear over time, we are interested in finding sets of edges that have similar temporal behavior and form a dense subgraph. Formally, we define the problem as the enumeration of the maximal…

社会与信息网络 · 计算机科学 2021-03-02 Giulia Preti , Polina Rozenshtein , Aristides Gionis , Yannis Velegrakis

Finding dense subgraphs of a large network is a fundamental problem in graph mining that has been studied extensively both for its theoretical richness and its many practical applications over the last five decades. However, most existing…

社会与信息网络 · 计算机科学 2023-10-10 Ali Behrouz , Farnoosh Hashemi
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