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\emph{$K$-best enumeration}, which asks to output $k$-best solutions without duplication, is a helpful tool in data analysis for many fields. In such fields, graphs typically represent data. Thus subgraph enumeration has been paid much…

数据结构与算法 · 计算机科学 2024-05-14 Kazuhiro Kurita , Kunihiro Wasa

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

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

In this paper, we introduce a new model for sublinear algorithms called \emph{dynamic sketching}. In this model, the underlying data is partitioned into a large \emph{static} part and a small \emph{dynamic} part and the goal is to compute a…

数据结构与算法 · 计算机科学 2015-10-13 Sepehr Assadi , Sanjeev Khanna , Yang Li , Val Tannen

Finding dense subgraphs of a large graph is a standard problem in graph mining that has been studied extensively both for its theoretical richness and its many practical applications. In this paper we introduce a new family of dense…

数据结构与算法 · 计算机科学 2021-06-07 Nate Veldt , Austin R. Benson , Jon Kleinberg

Given a large graph, the densest-subgraph problem asks to find a subgraph with maximum average degree. When considering the top-$k$ version of this problem, a na\"ive solution is to iteratively find the densest subgraph and remove it in…

数据结构与算法 · 计算机科学 2017-08-30 Muhammad Anis Uddin Nasir , Aristides Gionis , Gianmarco De Francisci Morales , Sarunas Girdzijauskas

We design an algorithm for approximating the size of \emph{Max Cut} in dense graphs. Given a proximity parameter $\varepsilon \in (0,1)$, our algorithm approximates the size of \emph{Max Cut} of a graph $G$ with $n$ vertices, within an…

数据结构与算法 · 计算机科学 2021-12-21 Arijit Ghosh , Gopinath Mishra , Rahul Raychaudhury , Sayantan Sen

Computing a dense subgraph is a fundamental problem in graph mining, with a diverse set of applications ranging from electronic commerce to community detection in social networks. In many of these applications, the underlying context is…

数据结构与算法 · 计算机科学 2022-04-19 Suman K. Bera , Sayan Bhattacharya , Jayesh Choudhari , Prantar Ghosh

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

Finding all maximal $k$-plexes on networks is a fundamental research problem in graph analysis due to many important applications, such as community detection, biological graph analysis, and so on. A $k$-plex is a subgraph in which every…

数据结构与算法 · 计算机科学 2022-05-03 Qiangqiang Dai , Rong-Hua Li , Hongchao Qin , Meihao Liao , Guoren Wang

We consider the densest $k$-subgraph problem, which seeks to identify the $k$-node subgraph of a given input graph with maximum number of edges. This problem is well-known to be NP-hard, by reduction to the maximum clique problem. We…

最优化与控制 · 数学 2019-04-09 Polina Bombina , Brendan Ames

We study the problem of extracting a small subset of representative items from a large data stream. In many data mining and machine learning applications such as social network analysis and recommender systems, this problem can be…

数据结构与算法 · 计算机科学 2021-02-15 Yanhao Wang , Francesco Fabbri , Michael Mathioudakis

In recent years, the problem of computing the frequencies of the induced $k$-vertex subgraphs of a graph, or \emph{$k$-graphlets}, has become central. One approach for this problem is to sample $k$-graphlets randomly. Classic algorithms for…

数据结构与算法 · 计算机科学 2026-04-29 Marco Bressan , T-H. Hubert Chan , Qipeng Kuang , Mauro Sozio

Listing dense subgraphs in large graphs plays a key task in varieties of network analysis applications like community detection. Clique, as the densest model, has been widely investigated. However, in practice, communities rarely form as…

数据结构与算法 · 计算机科学 2022-02-22 Zhengren Wang , Yi Zhou , Mingyu Xiao , Bakhadyr Khoussainov

We propose a hybrid heuristic algorithm for solving the Heaviest k-Subgraph Problem in online social networks -- a combinatorial graph optimization problem central to many important applications in weighted social networks, including…

社会与信息网络 · 计算机科学 2023-06-01 Ville P. Saarinen , Ted Hsuan Yun Chen , Mikko Kivelä

Densest Subgraph Problem (DSP) is an important primitive problem with a wide range of applications, including fraud detection, community detection and DNA motif discovery. Edge-based density is one of the most common metrics in DSP.…

数据库 · 计算机科学 2023-10-31 Yugao Zhu , Shenghua Liu , Wenjie Feng , Xueqi Cheng

We develop a new framework for generalizing approximation algorithms from the structural graph algorithm literature so that they apply to graphs somewhat close to that class (a scenario we expect is common when working with real-world…

Feature representations from pre-trained deep neural networks have been known to exhibit excellent generalization and utility across a variety of related tasks. Fine-tuning is by far the simplest and most widely used approach that seeks to…

计算机视觉与模式识别 · 计算机科学 2017-10-09 Donghyun Yoo , Haoqi Fan , Vishnu Naresh Boddeti , Kris M. Kitani

Finding locally optimal solutions for max-cut and max-$k$-cut are well-known PLS-complete problems. An instinctive approach to finding such a locally optimum solution is the FLIP method. Even though FLIP requires exponential time in…

数据结构与算法 · 计算机科学 2018-07-17 Ali Bibak , Charles Carlson , Karthekeyan Chandrasekaran

This paper develops a fast distributed algorithm, termed \emph{DEXTRA}, to solve the optimization problem when~$n$ agents reach agreement and collaboratively minimize the sum of their local objective functions over the network, where the…

最优化与控制 · 数学 2016-05-31 Chenguang Xi , Usman A. Khan
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