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A popular model to measure network stability is the $k$-core, that is the maximal induced subgraph in which every vertex has degree at least $k$. For example, $k$-cores are commonly used to model the unraveling phenomena in social networks.…

数据结构与算法 · 计算机科学 2020-07-08 Fedor V. Fomin , Danil Sagunov , Kirill Simonov

A canonical problem in graph mining is the detection of dense communities. This problem is exacerbated for a graph with a large order and size -- the number of vertices and edges -- as many community detection algorithms scale poorly. In…

社会与信息网络 · 计算机科学 2015-02-17 Heng Wang , Da Zheng , Randal Burns , Carey Priebe

Massive networks have shown that the determination of dense subgraphs, where vertices interact a lot, is necessary in order to visualize groups of common interest, and therefore be able to decompose a big graph into smaller structures. Many…

社会与信息网络 · 计算机科学 2016-04-29 Etienne Callies , Tomás Yany-Anich

Discovering dense subgraphs and understanding the relations among them is a fundamental problem in graph mining. We want to not only identify dense subgraphs, but also build a hierarchy among them (e.g., larger but sparser subgraphs formed…

社会与信息网络 · 计算机科学 2016-10-18 A. Erdem Sariyuce , Ali Pinar

Large graphs arise in a number of contexts and understanding their structure and extracting information from them is an important research area. Early algorithms on mining communities have focused on the global structure, and often run in…

社会与信息网络 · 计算机科学 2015-09-28 Yixuan Li , Kun He , David Bindel , John Hopcroft

Approximate K-Nearest Neighbor Search (AKNNS) has now become ubiquitous in modern applications, for example, as a fast search procedure with two tower deep learning models. Graph-based methods for AKNNS in particular have received great…

机器学习 · 计算机科学 2022-06-24 Patrick H. Chen , Chang Wei-cheng , Yu Hsiang-fu , Inderjit S. Dhillon , Hsieh Cho-jui

Community search is a well-studied problem which, given a static graph and a query set of vertices, requires to find a cohesive (or dense) subgraph containing the query vertices. In this paper we study the problem of community search in…

数据结构与算法 · 计算机科学 2020-11-12 Ioanna Tsalouchidou , Francesco Bonchi , Ricardo Baeza-Yates

We consider a community finding problem called Co-located Community Detection (CCD) over geo-social networks, which retrieves communities that satisfy both high structural tightness and spatial closeness constraints. To provide a solution…

数据库 · 计算机科学 2019-09-04 Xiuwen Zheng , Qiyu Liu , Amarnath Gupta

Recent approaches on elite identification highlighted the important role of {\em intermediaries}, by means of a new definition of the core of a multiplex network, the {\em generalised} $K$-core. This newly introduced core subgraph crucially…

物理与社会 · 物理学 2014-12-23 Bernat Corominas-Murtra , Stefan Thurner

Grouping the nodes of a graph into clusters is a standard technique for studying networks. We study a problem where we are given a directed network and are asked to partition the graph into a sequence of coherent groups. We assume that…

社会与信息网络 · 计算机科学 2025-12-08 Iiro Kumpulainen , Nikolaj Tatti

K-cores are maximal induced subgraphs where all vertices have degree at least k. These dense patterns have applications in community detection, network visualization and protein function prediction. However, k-cores can be quite unstable to…

社会与信息网络 · 计算机科学 2020-04-22 Sourav Medya , Tiyani Ma , Arlei Silva , Ambuj Singh

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 goal of community search in heterogeneous information networks (HINs) is to identify a set of closely related target nodes that includes a query target node. In practice, a size constraint is often imposed due to limited resources,…

数据库 · 计算机科学 2025-08-21 Xinjian Zhang , Lu Chen , Chengfei Liu , Rui Zhou , Bo Ning

Community search on bipartite graphs, especially influential community detection, has received significant attention. Existing studies use minimum vertex weights, inadequately reflecting true community influence when some vertices have low…

社会与信息网络 · 计算机科学 2025-09-17 Yanxin Zhang , Zhengyu Hua , Long Yuan , Zi Chen

The \emph{maximal $k$-edge-connected subgraphs} problem is a classical graph clustering problem studied since the 70's. Surprisingly, no non-trivial technique for this problem in weighted graphs is known: a very straightforward…

数据结构与算法 · 计算机科学 2023-02-07 Chaitanya Nalam , Thatchaphol Saranurak

Given a data graph G, a source vertex u and a target vertex v of a reachability query, the reachability query is used to answer whether there exists a path from u to v in G. Reachability query processing is one of the fundamental operations…

数据库 · 计算机科学 2024-10-08 Congquan Mei , Lian Chen , Junfeng Zhou , Ming Du , Sheng Yu , Xian Tang , Ziyang Chen

Community Search, or finding a connected subgraph (known as a community) containing the given query nodes in a social network, is a fundamental problem. Most of the existing community search models only focus on the internal cohesiveness of…

社会与信息网络 · 计算机科学 2022-04-19 Junghoon Kim , Siqiang Luo , Gao Cong , Wenyuan Yu

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,…

社会与信息网络 · 计算机科学 2015-03-10 Ahmet Erdem Sariyuce , C. Seshadhri , Ali Pinar , Umit V. Catalyurek

This paper addresses the problem of finding the densest $k$-vertex subgraph in an arbitrary graph. This problem is NP-hard and has important applications in social network analysis, fraud detection, recommendation systems, and…

量子物理 · 物理学 2026-05-01 Yu. A. Biriukov , R. D. Morozov , I. V. Dyakonov , S. S. Straupe

We study a graph search problem in which a team of searchers attempts to find a mobile target located in a graph. Assuming that (a) the visibility field of the searchers is limited, (b) the searchers have unit speed and (c) the target has…

离散数学 · 计算机科学 2021-05-14 Ath. Kehagias , A. C. Papazoglou