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Balanced partitioning is often a crucial first step in solving large-scale graph optimization problems, e.g., in some cases, a big graph can be chopped into pieces that fit on one machine to be processed independently before stitching the…

分布式、并行与集群计算 · 计算机科学 2015-12-10 Kevin Aydin , MohammadHossein Bateni , Vahab Mirrokni

Binary classification problems can be naturally modeled as bipartite graphs, where we attempt to classify right nodes based on their left adjacencies. We consider the case of labeled bipartite graphs in which some labels and edges are not…

组合数学 · 数学 2018-11-13 R. W. R. Darling , Mark L. Velednitsky

With the prevalence of social media, the connectedness between people has been greatly enhanced. Real-world relations between users on social media are often not limited to expressing positive ties such as friendship, trust, and agreement,…

社会与信息网络 · 计算机科学 2024-02-27 Zeyu Zhang , Peiyao Zhao , Xin Li , Jiamou Liu , Xinrui Zhang , Junjie Huang , Xiaofeng Zhu

We introduce a principled and theoretically sound spectral method for $k$-way clustering in signed graphs, where the affinity measure between nodes takes either positive or negative values. Our approach is motivated by social balance…

机器学习 · 统计学 2019-05-21 Mihai Cucuringu , Peter Davies , Aldo Glielmo , Hemant Tyagi

Graphlets are induced subgraphs of a large network and are important for understanding and modeling complex networks. Despite their practical importance, graphlets have been severely limited to applications and domains with relatively small…

社会与信息网络 · 计算机科学 2017-03-01 Ryan A. Rossi , Rong Zhou , Nesreen K. Ahmed

Edge-coloured directed graphs provide an essential structure for modelling and analysis of complex systems arising in many scientific disciplines (e.g. feature-oriented systems, gene regulatory networks, etc.). One of the fundamental…

数据结构与算法 · 计算机科学 2023-06-22 Nikola Beneš , Luboš Brim , Samuel Pastva , David Šafránek

A basic premise in graph signal processing (GSP) is that a graph encoding pairwise (anti-)correlations of the targeted signal as edge weights is exploited for graph filtering. However, existing fast graph sampling schemes are designed and…

信号处理 · 电气工程与系统科学 2023-01-18 Chinthaka Dinesh , Gene Cheung , Saghar Bagheri , Ivan V. Bajic

Social networks inherently exhibit complex relationships that can be positive or negative, as well as directional. Understanding balance in these networks is crucial for unraveling social dynamics, yet traditional theories struggle to…

物理与社会 · 物理学 2024-11-11 Bingjie Hao , Elijah Platnick , István A. Kovács

A signed graph is a graph with a function that assigns a label of positive or negative to each edge. The sign of a circle is the product of the signs of its edges; a graph is balanced if all of its circles are positive. A set of edges whose…

组合数学 · 数学 2020-10-07 Nicholas Lacasse

We present new refinement heuristics for the balanced graph partitioning problem that break with an age-old rule. Traditionally, local search only permits moves that keep the block sizes balanced (below a size constraint). In this work, we…

社会与信息网络 · 计算机科学 2025-05-13 Nikolai Maas , Lars Gottesbüren , Daniel Seemaier

Bipartite networks provide a major insight into the organisation of many real-world systems. One of the most relevant issues encountered when modelling a bipartite network is that of facing the information shortage concerning intra-layer…

物理与社会 · 物理学 2025-07-11 Anna Gallo , Fabio Saracco , Tiziano Squartini

We propose a fast approximate algorithm for large graph matching. A new projected fixed-point method is defined and a new doubly stochastic projection is adopted to derive the algorithm. Previous graph matching algorithms suffer from high…

计算机视觉与模式识别 · 计算机科学 2012-08-13 Yao Lu , Kaizhu Huang , Cheng-Lin Liu

Alliances and conflicts in social, political and economic relations can be represented by positive and negative edges in signed networks. A cycle is said to be positive if the product of its edge signs is positive, otherwise it is negative.…

物理与社会 · 物理学 2024-08-13 Fernando Diaz-Diaz , Paolo Bartesaghi , Ernesto Estrada

Social networks involve both positive and negative relationships, which can be captured in signed graphs. The {\em edge sign prediction problem} aims to predict whether an interaction between a pair of nodes will be positive or negative. We…

Real-world graphs, such as social networks, financial transactions, and recommendation systems, often demonstrate dynamic behavior. This phenomenon, known as graph stream, involves the dynamic changes of nodes and the emergence and…

机器学习 · 计算机科学 2023-05-16 Yanping Zheng , Zhewei Wei , Jiajun Liu

Finding dense subgraphs is a core problem with numerous graph mining applications such as community detection in social networks and anomaly detection. However, in many real-world networks connections are not equal. One way to label edges…

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

Signed networks and balance theory provide a natural setting for real-world scenarios that show polarization dynamics, positive/negative relationships, and political partisanship. For example, they have been proven effective in studying the…

社会与信息网络 · 计算机科学 2023-08-29 Arthur Capozzi , Alfonso Semeraro , Giancarlo Ruffo

This paper studies the problem of embedding very large information networks into low-dimensional vector spaces, which is useful in many tasks such as visualization, node classification, and link prediction. Most existing graph embedding…

机器学习 · 计算机科学 2015-03-13 Jian Tang , Meng Qu , Mingzhe Wang , Ming Zhang , Jun Yan , Qiaozhu Mei

We study the problem of identifying different behaviors occurring in different parts of a large heterogenous network. We zoom in to the network using lenses of different sizes to capture the local structure of the network. These network…

社会与信息网络 · 计算机科学 2019-01-29 Kshiteesh Hegde , Malik Magdon-Ismail

A signed graph is a pair $(G,\sigma)$, where $G$ is a graph and $\sigma: E(G)\rightarrow \{-, +\}$, called signature, is an assignment of signs to the edges. Given a signed graph $(G,\sigma)$ with no negative loops, a balanced…

组合数学 · 数学 2025-04-18 Xiaolan Hu , Luis Kuffner , Jiaao Li , Reza Naserasr , Lujia Wang , Zhouningxin Wang , Xiaowei Yu