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Finding patterns in graphs is a fundamental problem in databases and data mining. In many applications, graphs are temporal and evolve over time, so we are interested in finding durable patterns, such as triangles and paths, which persist…

数据库 · 计算机科学 2024-03-26 Pankaj K. Agarwal , Xiao Hu , Stavros Sintos , Jun Yang

The growing popularity of dynamic applications such as social networks provides a promising way to detect valuable information in real time. Efficient analysis over high-speed data from dynamic applications is of great significance. Data…

数据库 · 计算机科学 2018-09-05 Youhuan Li , Lei Zou , M. Tamer Ozsu , Dongyan Zhao

In this paper, we consider maintaining strongly connected components (SCCs) of a directed planar graph subject to edge insertions and deletions. We show a data structure maintaining an implicit representation of the SCCs within…

数据结构与算法 · 计算机科学 2024-06-18 Adam Karczmarz , Marcin Smulewicz

This paper introduces a probabilistic approach for tracking the dynamics of unweighted and directed graphs using state-space models (SSMs). Unlike conventional topology inference methods that assume static graphs and generate point-wise…

信号处理 · 电气工程与系统科学 2024-09-13 Victor M. Tenorio , Elvin Isufi , Geert Leus , Antonio G. Marques

In the recent research of data mining, frequent structures in a sequence of graphs have been studied intensively, and one of the main concern is changing structures along a sequence of graphs that can capture dynamic properties of data. On…

数据结构与算法 · 计算机科学 2012-06-28 Takeaki Uno , Yushi Uno

In this paper we show how to efficiently produce unbiased estimates of subgraph frequencies from a probability sample of egocentric networks (i.e., focal nodes, their neighbors, and the induced subgraphs of ties among their neighbors). A…

社会与信息网络 · 计算机科学 2015-10-29 Minas Gjoka , Emily Smith , Carter T. Butts

Dense subgraph search in bipartite graphs is a fundamental problem in graph analysis, with wide-ranging applications in fraud detection, recommendation systems, and social network analysis. The recently proposed $(\alpha, \beta)$-dense…

数据库 · 计算机科学 2025-08-27 Yalong Zhang , Rong-Hua Li , Qi Zhang , Guoren Wang

We introduce graph motif parameters, a class of graph parameters that depend only on the frequencies of constant-size induced subgraphs. Classical works by Lov\'asz show that many interesting quantities have this form, including, for fixed…

数据结构与算法 · 计算机科学 2017-05-05 Radu Curticapean , Holger Dell , Dániel Marx

Learning properties of large graphs from samples has been an important problem in statistical network analysis since the early work of Goodman \cite{Goodman1949} and Frank \cite{Frank1978}. We revisit a problem formulated by Frank…

统计理论 · 数学 2019-06-18 Jason M. Klusowski , Yihong Wu

We revisit classic string problems considered in the area of parameterized complexity, and study them through the lens of dynamic data structures. That is, instead of asking for a static algorithm that solves the given instance efficiently,…

数据结构与算法 · 计算机科学 2022-05-03 Jędrzej Olkowski , Michał Pilipczuk , Mateusz Rychlicki , Karol Węgrzycki , Anna Zych-Pawlewicz

In statistical network analysis, models for binary adjacency matrices satisfying vertex exchangeability are commonly used. However, such models may fail to capture key features of the data-generating process when interactions, rather than…

统计方法学 · 统计学 2025-09-03 Ayoushman Bhattacharya , Nilanjan Chakraborty , Robert Lunde

A new heuristic based on vertex invariants is developed to rapidly distinguish non-isomorphic graphs to a desired level of accuracy. The method is applied to sample subgraphs from an E.coli protein interaction network, and as a probe for…

定量方法 · 定量生物学 2009-11-13 Kim Baskerville , Maya Paczuski

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

Controlling real-world networked systems, including ecological, biomedical, and engineered networks that exhibit higher-order interactions, remains challenging due to inherent nonlinearities and large system scales. Despite extensive…

最优化与控制 · 数学 2026-03-23 Joshua Pickard , Xin Mao , Can Chen

Connectivity related concepts are of fundamental interest in graph theory. The area has received extensive attention over four decades, but many problems remain unsolved, especially for directed graphs. A directed graph is 2-edge-connected…

数据结构与算法 · 计算机科学 2017-05-31 Shiri Chechik , Thomas Dueholm Hansen , Giuseppe F. Italiano , Veronika Loitzenbauer , Nikos Parotsidis

Spectral hypergraph sparsification, a natural generalization of the well-studied spectral sparsification notion on graphs, has been the subject of intensive research in recent years. In this work, we consider spectral hypergraph…

数据结构与算法 · 计算机科学 2025-02-04 Gramoz Goranci , Ali Momeni

We present a dynamic data structure for representing a graph $G$ with tree-depth at most $D$. Tree-depth is an important graph parameter which arose in the study of sparse graph classes. The structure allows addition and removal of edges…

数据结构与算法 · 计算机科学 2013-07-11 Zdenek Dvorak , Martin Kupec , Vojtech Tuma

Hypergraphs, encoding structured interactions among any number of system units, have recently proven a successful tool to describe many real-world biological and social networks. Here we propose a framework based on statistical inference to…

社会与信息网络 · 计算机科学 2022-12-01 Martina Contisciani , Federico Battiston , Caterina De Bacco

Many different classification tasks need to manage structured data, which are usually modeled as graphs. Moreover, these graphs can be dynamic, meaning that the vertices/edges of each graph may change during time. Our goal is to jointly…

机器学习 · 计算机科学 2019-08-20 Franco Manessi , Alessandro Rozza , Mario Manzo

Graphlets are induced subgraph patterns and have been frequently applied to characterize the local topology structures of graphs across various domains, e.g., online social networks (OSNs) and biological networks. Discovering and computing…

社会与信息网络 · 计算机科学 2016-10-19 Xiaowei Chen , Yongkun Li , Pinghui Wang , John C. S. Lui