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The Densest Subgraph Problem requires 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…

数据结构与算法 · 计算机科学 2024-04-19 Tommaso Lanciano , Atsushi Miyauchi , Adriano Fazzone , Francesco Bonchi

Finding dense subgraphs is a core problem in graph mining with many applications in diverse domains. At the same time many real-world networks vary over time, that is, the dataset can be represented as a sequence of graph snapshots. Hence,…

数据结构与算法 · 计算机科学 2023-08-31 Chamalee Wickrama Arachchi , Nikolaj Tatti

While in many graph mining applications it is crucial to handle a stream of updates efficiently in terms of {\em both} time and space, not much was known about achieving such type of algorithm. In this paper we study this issue for a…

数据结构与算法 · 计算机科学 2015-09-23 Sayan Bhattacharya , Monika Henzinger , Danupon Nanongkai , Charalampos E. Tsourakakis

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…

社会与信息网络 · 计算机科学 2023-06-06 Atsushi Miyauchi , Tianyi Chen , Konstantinos Sotiropoulos , Charalampos E. Tsourakakis

How do social networks differ across platforms? How do information networks change over time? Answering questions like these requires us to compare two or more graphs. This task is commonly treated as a measurement problem, but numerical…

社会与信息网络 · 计算机科学 2022-05-10 Corinna Coupette , Jilles Vreeken

We study the problem of finding and monitoring fixed-size subgraphs in a continually changing large-scale graph. We present the first approach that (i) performs worst-case optimal computation and communication, (ii) maintains a total memory…

分布式、并行与集群计算 · 计算机科学 2018-02-13 Khaled Ammar , Frank McSherry , Semih Salihoglu , Manas Joglekar

The graph burning problem is an NP-hard combinatorial optimization problem that helps quantify the vulnerability of a graph to contagion. This paper introduces a simple farthest-first traversal-based approximation algorithm for this problem…

In the last decade it became apparent that a large number of the most interesting structures and phenomena of the world can be described by networks: separable elements, with connections (or interactions) between certain pairs of them.…

组合数学 · 数学 2009-02-03 Laszlo Lovasz

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

Given an image collection of a social event with a huge number of pictures, it is very useful to have tools that can be used to analyze how the individuals --that are present in the collection-- interact with each other. In this paper, we…

社会与信息网络 · 计算机科学 2019-11-28 Domingo Mery , Florencia Valdes

Finding dense bipartite subgraphs and detecting the relations among them is an important problem for affiliation networks that arise in a range of domains, such as social network analysis, word-document clustering, the science of science,…

社会与信息网络 · 计算机科学 2017-11-29 A. Erdem Sariyuce , Ali Pinar

In this paper we study the problem of discovering a timeline of events in a temporal network. We model events as dense subgraphs that occur within intervals of network activity. We formulate the event-discovery task as an optimization…

社会与信息网络 · 计算机科学 2018-09-17 Polina Rozenshtein , Francesco Bonchi , Aristides Gionis , Mauro Sozio , Nikolaj Tatti

Correspondence between images is a fundamental problem in computer vision, with a variety of graphics applications. This paper presents a novel method for sparse cross-domain correspondence. Our method is designed for pairs of images where…

计算机视觉与模式识别 · 计算机科学 2018-08-22 Kfir Aberman , Jing Liao , Mingyi Shi , Dani Lischinski , Baoquan Chen , Daniel Cohen-Or

Graphs are fundamental data structures which concisely capture the relational structure in many important real-world domains, such as knowledge graphs, physical and social interactions, language, and chemistry. Here we introduce a powerful…

机器学习 · 计算机科学 2018-03-12 Yujia Li , Oriol Vinyals , Chris Dyer , Razvan Pascanu , Peter Battaglia

Graph clustering is the problem of identifying sparsely connected dense subgraphs (clusters) in a given graph. Proposed clustering algorithms usually optimize various fitness functions that measure the quality of a cluster within the graph.…

计算复杂性 · 计算机科学 2007-05-23 Jiri Sima , Satu Elisa Schaeffer

Finding dense subnetworks, with density based on edges or more complex structures, such as subgraphs or $k$-cliques, is a fundamental algorithmic problem with many applications. While the problem has been studied extensively in static…

数据结构与算法 · 计算机科学 2024-06-26 Ilie Sarpe , Fabio Vandin , Aristides Gionis

How do real graphs evolve over time? What are ``normal'' growth patterns in social, technological, and information networks? Many studies have discovered patterns in static graphs, identifying properties in a single snapshot of a large…

物理与社会 · 物理学 2007-05-23 Jure Leskovec , Jon Kleinberg , Christos Faloutsos

We introduce a taxonomy of interaction types and show that graphs are focal hypergraphs: every graph is canonically a focal hypergraph via its closed neighbourhood structure, and every graph dynamical model is a special case of the general…

物理与社会 · 物理学 2026-03-05 Elkaïoum M. Moutuou

Numerous networks in the real world change over time, in the sense that nodes and edges enter and leave the networks. Various dynamic random graph models have been proposed to explain the macroscopic properties of these systems and to…

机器学习 · 统计学 2020-02-14 Abram Magner , Wojciech Szpankowski

Graph Neural Networks (GNNs) revolutionize machine learning for graph-structured data, effectively capturing complex relationships. They disseminate information through interconnected nodes, but long-range interactions face challenges known…

人工智能 · 计算机科学 2025-03-18 Singh Akansha