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Related papers: Defensive Alliances in Signed Networks

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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…

Signed graphs have been introduced to enrich graph structures expressing relationships between persons or general social entities, introducing edge signs to reflect the nature of the relationship, e.g., friendship or enmity. Independently,…

Computational Complexity · Computer Science 2023-12-20 Zhidan Feng , Henning Fernau , Kevin Mann , Xingqin Qi

We propose a signed network formation game, in which pairs of individuals strategically change the signs of the edges in a complete network. These individuals are members of a social network who strategically reduce cognitive dissonances by…

Social and Information Networks · Computer Science 2019-10-01 Pedro Cisneros-Velarde , Francesco Bullo

Signed networks appear naturally in contexts where conflict or animosity is apparent. In this book chapter we review some of the literature on signed networks, especially in the context of partitioning. Most of the work is founded in what…

Physics and Society · Physics 2018-03-07 V. A. Traag , P. Doreian , A. Mrvar

In this paper, we study the task of enumerating (and counting) locally and globally minimal defensive alliances in graphs. We consider general graphs as well as special graph classes. From an input-sensitive perspective, our presented…

Computational Complexity · Computer Science 2024-05-30 Zhidan Feng , Henning Fernau , Kevin Mann

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

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

This paper addresses the behavior analysis problems for directed signed networks that involve cooperative-antagonistic interactions among agents. Of particular interest is to explore the convergence behaviors of directed signed networks…

Dynamical Systems · Mathematics 2020-06-22 Deyuan Meng , Mingjun Du , Jianqiang Liang

A set $S$ of vertices of a graph is a defensive alliance if, for each element of $S$, the majority of its neighbours are in $S$. We study the parameterized complexity of the Defensive Alliance problem, where the aim is to find a minimum…

Computational Complexity · Computer Science 2021-11-11 Ajinkya Gaikwad , Soumen Maity

Relations between users on social media sites often reflect a mixture of positive (friendly) and negative (antagonistic) interactions. In contrast to the bulk of research on social networks that has focused almost exclusively on positive…

Physics and Society · Physics 2010-03-15 Jure Leskovec , Daniel Huttenlocher , Jon Kleinberg

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

In the recent period of time with a lot of social platforms emerging, the relationships among various units can be framed with respect to either positive, negative or no relation. These units can be individuals, countries or others that…

Social and Information Networks · Computer Science 2021-11-08 Ranjana Roy Chowdhury , Shivam Gupta , Sravanthi Chede

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

Signed graph clustering is a critical technique for discovering community structures in graphs that exhibit both positive and negative relationships. We have identified two significant challenges in this domain: i) existing signed spectral…

Social and Information Networks · Computer Science 2025-02-11 Peiyao Zhao , Xin Li , Zeyu Zhang , Mingzhong Wang , Xueying Zhu , Lejian Liao

A set $S$ of vertices of a graph $G$ is a defensive $k$-alliance in $G$ if every vertex of $S$ has at least $k$ more neighbors inside of $S$ than outside. This is primarily an expository article surveying the principal known results on…

Combinatorics · Mathematics 2013-08-12 Ismael González Yero , Juan A. Rodríguez-Velázquez

Similar to what happens between humans in the real world, in open multi-agent systems distributed over the Internet, such as online social networks or wiki technologies, agents often form coalitions by agreeing to act as a whole in order to…

Cryptography and Security · Computer Science 2010-10-27 Matteo Cristani , Erisa Karafili , Luca Viganò

Clustering a graph, i.e., assigning its nodes to groups, is an important operation whose best known application is the discovery of communities in social networks. Graph clustering and community detection have traditionally focused on…

Social and Information Networks · Computer Science 2015-01-09 Cecile Bothorel , Juan David Cruz , Matteo Magnani , Barbora Micenkova

Computer network defence is a complicated task that has necessitated a high degree of human involvement. However, with recent advancements in machine learning, fully autonomous network defence is becoming increasingly plausible. This paper…

Cryptography and Security · Computer Science 2023-06-16 Myles Foley , Mia Wang , Zoe M , Chris Hicks , Vasilios Mavroudis

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
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