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Signed networks are graphs whose edges are labelled with either a positive or a negative sign, and can be used to capture nuances in interactions that are missed by their unsigned counterparts. The concept of balance in signed graph theory…

Social and Information Networks · Computer Science 2020-02-04 Bruno Ordozgoiti , Antonis Matakos , Aristides Gionis

We analyse signed networks from the perspective of balance theory which predicts structural balance as a global structure for signed social networks that represent groups of friends and enemies. The scarcity of balanced networks encouraged…

Social and Information Networks · Computer Science 2019-01-23 Samin Aref

We consider signed networks in which connections or edges can be either positive (friendship, trust, alliance) or negative (dislike, distrust, conflict). Early literature in graph theory theorized that such networks should display…

Social and Information Networks · Computer Science 2019-01-30 Alec Kirkley , George T. Cantwell , M. E. J. Newman

Signed networks, characterized by edges labeled as either positive or negative, offer nuanced insights into interaction dynamics beyond the capabilities of unsigned graphs. Central to this is the task of identifying the maximum balanced…

Social and Information Networks · Computer Science 2024-06-18 Jingbang Chen , Qiuyang Mang , Hangrui Zhou , Richard Peng , Yu Gao , Chenhao Ma

Signed networks contain edge annotations to indicate whether each interaction is friendly (positive edge) or antagonistic (negative edge). The model is simple but powerful and it can capture novel and interesting structural properties of…

Data Structures and Algorithms · Computer Science 2019-10-08 Francesco Bonchi , Edoardo Galimberti , Aristides Gionis , Bruno Ordozgoiti , Giancarlo Ruffo

The largest balanced element in signed graphs plays a vital role in helping researchers understand the fundamental structure of the graph, as it reveals valuable information about the complex relationships between vertices in the network.…

Social and Information Networks · Computer Science 2025-01-16 Muhieddine Shebaro , Jelena Tešić

Statistical network models are useful for understanding the underlying formation mechanism and characteristics of complex networks. However, statistical models for \textit{signed networks} have been largely unexplored. In signed networks,…

Methodology · Statistics 2023-09-04 Weijing Tang , Ji Zhu

Network data has attracted growing interest across scientific domains, prompting the development of various network models. Existing network analysis methods mainly focus on unsigned networks, whereas signed networks, consisting of both…

Methodology · Statistics 2026-03-25 Yuwen Wang , Shiwen Ye , Jingnan Zhang , Junhui Wang

Network visualization has established as a key complement to network analysis since the large variety of existing network layouts are able to graphically highlight different properties of networks. However, signed networks, i.e., networks…

Social and Information Networks · Computer Science 2019-12-03 Edoardo Galimberti , Chiara Madeddu , Francesco Bonchi , Giancarlo Ruffo

A signed graph is one that features two types of edges: positive and negative. Balanced signed graphs are those in which all cycles contain an even number of positive edges. In the adjacency matrix of a signed graph, entries can be $0$,…

Combinatorics · Mathematics 2024-08-15 Cristian M. Conde , Ezequiel Dratman , Luciano N. Grippo

Signed networks provide a principled framework for representing systems in which interactions are not merely present or absent but qualitatively distinct: friendly or antagonistic, supportive or conflicting, excitatory or inhibitory. This…

In order to study real-world systems, many applied works model them through signed graphs, i.e. graphs whose edges are labeled as either positive or negative. Such a graph is considered as structurally balanced when it can be partitioned…

Robotics · Computer Science 2022-03-31 Nejat Arinik , Rosa Figueiredo , Vincent Labatut

Signed graph neural networks (SGNNs) has recently drawn more attention as many real-world networks are signed networks containing two types of edges: positive and negative. The existence of negative edges affects the SGNN robustness on two…

Social and Information Networks · Computer Science 2023-10-27 Ke-Jia Chen , Yaming Ji , Youran Qu , Chuhan Xu

Modularity maximization is one of the state-of-the-art methods for community detection that has gained popularity in the last decade. Yet it suffers from the resolution limit problem by preferring under certain conditions large communities…

Social and Information Networks · Computer Science 2017-10-10 Xiaoyan Lu , Konstantin Kuzmin , Mingming Chen , Boleslaw K. Szymanski

Signed networks are frequently observed in real life with additional sign information associated with each edge, yet such information has been largely ignored in existing network models. This paper develops a unified embedding model for…

Social and Information Networks · Computer Science 2023-10-17 Haoran Zhang , Junhui Wang

This work analyzes the convergence properties of signed networks with nonlinear edge functions. We consider diffusively coupled networks comprised of maximal equilibrium-independent passive (MEIP) dynamics on the nodes, and a general class…

Systems and Control · Computer Science 2019-03-28 Hao Chen , Daniel Zelazo , Xiangke Wang , Lincheng Shen

We consider graphs without loops or parallel edges in which every edge is assigned + or -. Such a signed graph is balanced if its vertex set can be partitioned into parts $V_1$ and $V_2$ such that all edges between vertices in the same part…

Data Structures and Algorithms · Computer Science 2013-04-23 R. Crowston , G. Gutin , M. Jones , G. Muciaccia

Fair graph partition of social networks is a crucial step toward ensuring fair and non-discriminatory treatments in unsupervised user analysis. Current fair partition methods typically consider node balance, a notion pursuing a…

Social and Information Networks · Computer Science 2023-07-18 Tingwei Liu , Peizhao Li , Hongfu Liu

Attitudinal Network Graphs are signed graphs where edges capture an expressed opinion; two vertices connected by an edge can be agreeable (positive) or antagonistic (negative). A signed graph is called balanced if each of its cycles…

Social and Information Networks · Computer Science 2021-10-15 Lucas Rusnak , Jelena Tešić

Signed networks, i.e., networks with positive and negative edges, commonly arise in various domains from social media to epidemiology. Modeling signed networks has many practical applications, including the creation of synthetic data sets…

Quantitative Methods · Quantitative Biology 2022-11-18 Angelina Brilliantova , Hannah Miller , Ivona Bezáková
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