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An important measure of signed graphs is the line index of balance which has several applications in many fields. However, this graph-theoretic measure was underused for decades because of the inherent complexity in its computation which is…

Social and Information Networks · Computer Science 2018-02-08 Samin Aref , Andrew J. Mason , Mark C. Wilson

Signed directed social networks, in which the relationships between users can be either positive (indicating relations such as trust) or negative (indicating relations such as distrust), are increasingly common. Thus the interplay between…

Social and Information Networks · Computer Science 2014-08-29 Dongjin Song , David A. Meyer

According to the structural balance theory, a signed graph is considered structurally balanced when it can be partitioned into a number of modules such that positive and negative edges are respectively located inside and between the…

Optimization and Control · Mathematics 2023-05-18 Nejat Arinik , Vincent Labatut , Rosa Figueiredo

Community detection, discovering the underlying communities within a network from observed connections, is a fundamental problem in network analysis, yet it remains underexplored for signed networks. In signed networks, both edge connection…

Methodology · Statistics 2026-02-17 Yichao Chen , Weijing Tang , Ji Zhu

Spectral clustering methodologies, when extended to accommodate signed graphs, have encountered notable limitations in effectively encapsulating inherent grouping relationships. Recent findings underscore a substantial deterioration in the…

Social and Information Networks · Computer Science 2025-01-15 Muhieddine Shebaro , Lucas Rusnak , Martin Burtscher , Jelena Tešić

Network reliability measures the probability that a target node is reachable from a source node in an uncertain graph, i.e., a graph where every edge is associated with a probability of existence. In this paper, we investigate the novel and…

Databases · Computer Science 2020-05-26 Xiangyu Ke , Arijit Khan , Mohammad Al Hasan , Rojin Rezvansangsari

Recent successes in word embedding and document embedding have motivated researchers to explore similar representations for networks and to use such representations for tasks such as edge prediction, node label prediction, and community…

Machine Learning · Statistics 2019-04-09 Mohammad Raihanul Islam , B. Aditya Prakash , Naren Ramakrishnan

Signed networks are such social networks having both positive and negative links. A lot of theories and algorithms have been developed to model such networks (e.g., balance theory). However, previous work mainly focuses on the unipartite…

Social and Information Networks · Computer Science 2021-10-12 Junjie Huang , Huawei Shen , Qi Cao , Shuchang Tao , Xueqi Cheng

We present measures, models and link prediction algorithms based on the structural balance in signed social networks. Certain social networks contain, in addition to the usual 'friend' links, 'enemy' links. These networks are called signed…

Social and Information Networks · Computer Science 2014-02-28 Jérôme Kunegis

In the problem of edge sign prediction, we are given a directed graph (representing a social network), and our task is to predict the binary labels of the edges (i.e., the positive or negative nature of the social relationships). Many…

Machine Learning · Computer Science 2017-03-02 Géraud Le Falher , Nicolò Cesa-Bianchi , Claudio Gentile , Fabio Vitale

The frustration index is a key measure for analysing signed networks, which has been underused due to its computational complexity. We use an exact optimisation-based method to analyse frustration as a global structural property of signed…

Social and Information Networks · Computer Science 2019-07-23 Samin Aref , Mark C. Wilson

Signed graphs encode similarity and dissimilarity relationships among different entities with positive and negative edges. In this paper, we study the problem of community recovery over signed graphs generated by the signed stochastic block…

Social and Information Networks · Computer Science 2022-02-25 Xiaolu Wang , Peng Wang , Anthony Man-Cho So

Two competing types of interactions often play an important part in shaping system behavior, such as activatory or inhibitory functions in biological systems. Hence, signed networks, where each connection can be either positive or negative,…

Social and Information Networks · Computer Science 2024-01-09 Yu Tian , Renaud Lambiotte

Structural balance theory assumes triads in networks to gravitate towards stable configurations. The theory has been verified for undirected graphs. Since real-world networks are often directed, we introduce a novel method for considering…

Social and Information Networks · Computer Science 2020-06-05 Ly Dinh , Rezvaneh Rezapour , Lan Jiang , Jana Diesner

Signed graphs are equipped with both positive and negative edge weights, encoding pairwise correlations as well as anti-correlations in data. A balanced signed graph is a signed graph with no cycles containing an odd number of negative…

Machine Learning · Computer Science 2025-06-03 Haruki Yokota , Hiroshi Higashi , Yuichi Tanaka , Gene Cheung

Is the enemy of an enemy necessarily a friend? If not, to what extent does this tend to hold? Such questions were formulated in terms of signed (social) networks and necessary and sufficient conditions for a network to be "balanced" were…

Social and Information Networks · Computer Science 2018-08-21 Samin Aref , Mark C. Wilson

The study of social networks is a burgeoning research area. However, most existing work deals with networks that simply encode whether relationships exist or not. In contrast, relationships in signed networks can be positive ("like",…

Social and Information Networks · Computer Science 2013-03-06 Kai-Yang Chiang , Cho-Jui Hsieh , Nagarajan Natarajan , Ambuj Tewari , Inderjit S. Dhillon

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…

Signed graphs are graphs with signed edges. They are commonly used to represent positive and negative relationships in social networks. While balance theory and clusterizable graphs deal with signed graphs to represent social interactions,…

Discrete Mathematics · Computer Science 2014-05-21 Anne-Marie Kermarrec , Christopher Thraves

Deep graph neural networks (GNNs) often suffer from oversmoothing, where node representations become overly homogeneous with increasing depth. While techniques like normalization, residual connections, and edge dropout have been proposed to…

Machine Learning · Computer Science 2025-05-30 Jiaqi Wang , Xinyi Wu , James Cheng , Yifei Wang