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With a core-periphery structure of networks, core nodes are densely interconnected, peripheral nodes are connected to core nodes to different extents, and peripheral nodes are sparsely interconnected. Core-periphery structure composed of a…

Physics and Society · Physics 2017-11-23 Sadamori Kojaku , Naoki Masuda

Semi-supervised learning on real-world graphs is frequently challenged by heterophily, where the observed graph is unreliable or label-disassortative. Many existing graph neural networks either rely on a fixed adjacency structure or attempt…

Machine Learning · Computer Science 2026-01-06 Yoonhyuk Choi , Jiho Choi , Chanran Kim , Yumin Lee , Hawon Shin , Yeowon Jeon , Minjeong Kim , Jiwoo Kang

Many systems of scientific interest can be conceptualized as multipartite networks. Examples include the spread of sexually transmitted infections, scientific collaborations, human friendships, product recommendation systems, and metabolic…

Physics and Society · Physics 2021-03-02 Hyojun A. Lee , Luiz G. A. Alves , Luís A. Nunes Amaral

Spatially embedded networks are shaped by a combination of purely topological (space-independent) and space-dependent formation rules. While it is quite easy to artificially generate networks where the relative importance of these two…

Physics and Society · Physics 2013-09-10 Franco Ruzzenenti , Francesco Picciolo , Riccardo Basosi , Diego Garlaschelli

Bipartite data is common in data engineering and brings unique challenges, particularly when it comes to clustering tasks that impose on strong structural assumptions. This work presents an unsupervised method for assessing similarity in…

Machine Learning · Computer Science 2017-02-17 Aaron Gerow , Mingyang Zhou , Stan Matwin , Feng Shi

Positive and negative relations play an essential role in human behavior and shape the communities we live in. Despite their importance, data about signed relations is rare and commonly gathered through surveys. Interaction data is more…

Social and Information Networks · Computer Science 2022-09-08 Georges Andres , Giona Casiraghi , Giacomo Vaccario , Frank Schweitzer

It has been shown that the adjacency eigenspace of a network contains key information of its underlying structure. However, there has been no study on spectral analysis of the adjacency matrices of directed signed graphs. In this paper, we…

Social and Information Networks · Computer Science 2016-12-28 Yuemeng Li , Xintao Wu , Aidong Lu

Within the context of stochastic probing with commitment, we consider the online stochastic matching problem; that is, the one-sided online bipartite matching problem where edges adjacent to an online node must be probed to determine if…

Data Structures and Algorithms · Computer Science 2021-03-02 Allan Borodin , Calum MacRury , Akash Rakheja

We use the information present in a bipartite network to detect cores of communities of each set of the bipartite system. Cores of communities are found by investigating statistically validated projected networks obtained using information…

Physics and Society · Physics 2017-08-30 Christian Bongiorno , András London , Salvatore Miccichè , Rosario N. Mantegna

Bipartite graph embedding has recently attracted much attention due to the fact that bipartite graphs are widely used in various application domains. Most previous methods, which adopt random walk-based or reconstruction-based objectives,…

Social and Information Networks · Computer Science 2020-12-11 Jiangxia Cao , Xixun Lin , Shu Guo , Luchen Liu , Tingwen Liu , Bin Wang

A graph is componentwise biconnected if every connected component either is an isolated vertex or is biconnected. We present a linear-time algorithm for the problem of adding the smallest number of edges to make a bipartite graph…

Data Structures and Algorithms · Computer Science 2007-05-23 Tsan-sheng Hsu , Ming-Yang Kao

In signed networks, some existing community detection methods treat negative connections as intercommunity links and positive ones as intracommunity links. However, it is important to recognize that negative links on real-world networks…

Physics and Society · Physics 2023-08-17 Peng Zhang , Xianyu Xu , Leyang Xue

Distributed consensus has been widely studied for sensor network applications. Whereas the asymptotic convergence rate has been extensively explored in prior work, other important and practical issues, including energy efficiency and link…

Networking and Internet Architecture · Computer Science 2013-04-10 Lei Chen , Jeff Frolik

A fundamental challenge of bipartite graph representation learning is how to extract informative node embeddings. Self-Supervised Learning (SSL) is a promising paradigm to address this challenge. Most recent bipartite graph SSL methods are…

Machine Learning · Computer Science 2024-02-13 Baoyu Jing , Yuchen Yan , Kaize Ding , Chanyoung Park , Yada Zhu , Huan Liu , Hanghang Tong

Signed graphs are an emergent way of representing data in a variety of contexts where antagonistic interactions exist. These include data from biological, ecological, and social systems. Here we propose the concept of communicability for…

Metric Geometry · Mathematics 2025-03-20 Fernando Diaz-Diaz , Ernesto Estrada

We consider a random geometric hypergraph model based on an underlying bipartite graph. Nodes and hyperedges are sampled uniformly in a domain, and a node is assigned to those hyperedges that lie with a certain radius. From a modelling…

Probability · Mathematics 2023-09-19 Henry-Louis de Kergorlay , Desmond J. Higham

Link prediction is one of the fundamental problems in computational social science. A particularly common means to predict existence of unobserved links is via structural similarity metrics, such as the number of common neighbors; node…

Social and Information Networks · Computer Science 2019-01-01 Kai Zhou , Tomasz P. Michalak , Talal Rahwan , Marcin Waniek , Yevgeniy Vorobeychik

We reformulate the problem of modularity maximization over the set of partitions of a network as a conic optimization problem over the completely positive cone, converting it from a combinatorial optimization problem to a convex continuous…

Data Analysis, Statistics and Probability · Physics 2008-12-18 Roland Hildebrand

Community structure is common in many real networks, with nodes clustered in groups sharing the same connections patterns. While many community detection methods have been developed for networks with binary edges, few of them are applicable…

Methodology · Statistics 2023-03-13 Andressa Cerqueira , Elizaveta Levina

Signed networks have been a topic of recent interest in the network control community as they allow studying antagonistic interactions in multi-agent systems. Although dynamical characteristics of signed networks have been well-studied,…

Optimization and Control · Mathematics 2017-07-13 Siavash Alemzadeh , Mathias Hudoba de Badyn , Mehran Mesbahi