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Correlation clustering provides a method for separating the vertices of a signed graph into the optimum number of clusters without specifying that number in advance. The main goal in this type of clustering is to minimize the number of…

Combinatorics · Mathematics 2025-07-15 Leila Parsaei-Majd

Capacitated network bargaining games are popular combinatorial games that involve the structure of matchings in graphs. We show that it is always possible to stabilize unit-weight instances of this problem (that is, ensure that they admit a…

Discrete Mathematics · Computer Science 2024-09-05 Laura Sanità , Lucy Verberk

We study network games in which players choose both the partners with whom they associate and an action level (e.g., effort) that creates spillovers for those partners. We introduce a framework and two solution concepts, extending standard…

Theoretical Economics · Economics 2024-02-07 Evan Sadler , Benjamin Golub

We investigate structural features and processes associated with the onset of systemic conflict using an approach which integrates complex systems theory with network modeling and analysis. We present a signed network model of cooperation…

Social and Information Networks · Computer Science 2022-03-10 Megan Morrison , J. Nathan Kutz , Michael Gabbay

The problem of representing nodes in a signed network as low-dimensional vectors, known as signed network embedding (SNE), has garnered considerable attention in recent years. While several SNE methods based on graph convolutional networks…

Social and Information Networks · Computer Science 2023-09-06 Min-Jeong Kim , Yeon-Chang Lee , David Y. Kang , Sang-Wook Kim

The structure of a network can significantly influence the properties of the dynamical processes which take place on them. While many studies have been devoted to this influence, much less attention has been devoted to the interplay and…

Physics and Society · Physics 2008-01-10 Balazs Kozma , Alain Barrat

We propose a method to make a highly clustered complex network within the configuration model. Using this method, we generated highly clustered random regular networks and analyzed the properties of them. We show that highly clustered…

Statistical Mechanics · Physics 2019-11-28 Wonhee Jeong , Hoseung Jang , Unjong Yu

I define a "group graph" which encodes the symmetry in a dynamical process on a network. Group graphs extend signed networks, where links are labelled with plus or minus one, by allowing link labels from any group and generalising the…

Physics and Society · Physics 2025-07-18 Tim S. Evans

Signed graphs serve as a primary tool for modelling social networks. They can represent relationships between individuals (i.e., nodes) with the use of signed edges. Finding communities in a signed graph is of great importance in many…

Quantum Physics · Physics 2019-01-16 Ehsan Zahedinejad , Daniel Crawford , Clemens Adolphs , Jaspreet S. Oberoi

The phenomenon of group cooperation constitutes a fundamental mechanism underlying various social and biological systems. Complex networks provide a structural framework for group interactions, where individuals can not only obtain…

Physics and Society · Physics 2025-05-29 Hongqian Wu , Hongzhong Deng , Jichao Li , Chengxing Wu , Zhuoting Yu , Haidong Zhang , Gaoxin Qi

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

We investigate degree correlations in two online social networks where users are connected through different types of links. We find that, while subnetworks in which links have a positive connotation, such as endorsement and trust, are…

Physics and Society · Physics 2015-01-07 Valerio Ciotti , Ginestra Bianconi , Andrea Capocci , Francesca Colaiori , Pietro Panzarasa

In network science, identifying optimal partitions of a signed network into internally cohesive and mutually divisive clusters based on generalized balance theory is computationally challenging. We reformulate and generalize two binary…

Social and Information Networks · Computer Science 2022-07-28 Samin Aref , Zachary P. Neal

In this work we compare social clusters with spin clusters and compare different properties. We also try to compare phase changes in market and labor stratification with phase changes of spin clusters. Then we compare the requisites for…

Disordered Systems and Neural Networks · Physics 2007-05-23 Fariel Shafee

Many real-world networks display a natural bipartite structure. It is necessary and important to study the bipartite networks by using the bipartite structure of the data. Here we propose a modification of the clustering coefficient given…

Physics and Society · Physics 2009-11-13 Peng Zhang , Jinliang Wang , Xiaojia Li , Zengru Di , Ying Fan

Recently, graph matching algorithms have been successfully applied to the problem of network de-anonymization, in which nodes (users) participating to more than one social network are identified only by means of the structure of their links…

Social and Information Networks · Computer Science 2015-08-11 C. F Chiasserini , M. Garetto , E. Leonardi

Studying significant network patterns, known as graphlets (or motifs), has been a popular approach to understand the underlying organizing principles of complex networks. Statistical significance is routinely assessed by comparing to null…

Physics and Society · Physics 2024-11-08 Bingjie Hao , István A. Kovács

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

Graph representation learning has become a prominent tool for the characterization and understanding of the structure of networks in general and social networks in particular. Typically, these representation learning approaches embed the…

Creating new ties in a social network facilitates knowledge exchange and affects positional advantage. In this paper, we study the process, which we call network building, of establishing ties between two existing social networks in order…

Social and Information Networks · Computer Science 2016-05-13 Anastasia Moskvina , Jiamou Liu