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A determinant property of the structure of a biological network is the distribution of local connectivity patterns, i.e., network motifs. In this work, a method for creating directed, unweighted networks while promoting a certain…

Social and Information Networks · Computer Science 2016-07-29 Tuomo Mäki-Marttunen

Link prediction plays an important role in network analysis and applications. Recently, approaches for link prediction have evolved from traditional similarity-based algorithms into embedding-based algorithms. However, most existing…

Social and Information Networks · Computer Science 2020-08-11 Lei Wang , Jing Ren , Bo Xu , Jianxin Li , Wei Luo , Feng Xia

Dynamic networks, a.k.a. graph streams, consist of a set of vertices and a collection of timestamped interaction events (i.e., temporal edges) between vertices. Temporal motifs are defined as classes of (small) isomorphic induced subgraphs…

Methodology · Statistics 2022-02-23 Xiaojing Zhu , Eric D. Kolaczyk

This paper looks at the task of network topology inference, where the goal is to learn an unknown graph from nodal observations. One of the novelties of the approach put forth is the consideration of prior information about the density of…

Signal Processing · Electrical Eng. & Systems 2022-07-12 Samuel Rey , T. Mitchell Roddenberry , Santiago Segarra , Antonio G. Marques

Collaboration networks are studied as an example of growing bipartite networks. These have been previously observed to have structure such as positive correlations between nearest-neighbour degrees. However, a detailed understanding of the…

Physics and Society · Physics 2009-11-11 Matti Peltomaki , Mikko Alava

Homophily, the tendency of individuals who are alike to form ties with one another, is an important concept in the study of social networks. Yet accounting for homophily effects is complicated in the context of bipartite networks where ties…

Social and Information Networks · Computer Science 2023-12-12 Rashmi P. Bomiriya , Alina R. Kuvelkar , David R. Hunter , Steffen Triebel

Graph motif, defined as the microstructure that appears repeatedly in a large graph, reveals important topological characteristics of the large graph and has gained increasing attention in power system analysis regarding reliability,…

Systems and Control · Electrical Eng. & Systems 2024-12-10 Yiyan Li , Zhenghao Zhou , Jian Ping , Xiaoyuan Xu , Zheng Yan , Jianzhong Wu

Recent genomic and bioinformatic advances have motivated the development of numerous random network models purporting to describe graphs of biological, technological, and sociological origin. The success of a model has been evaluated by how…

Molecular Networks · Quantitative Biology 2007-05-23 Manuel Middendorf , Etay Ziv , Carter Adams , Jen Hom , Robin Koytcheff , Chaya Levovitz , Gregory Woods , Linda Chen , Chris Wiggins

In this work we present a dynamical model that succesfully describes the organization of mutualistic ecological systems. The main characteristic of these systems is the nested structure of the bipartite adjacency matrix describing their…

Physics and Society · Physics 2009-11-13 Enrique Burgos , Horacio Ceva , Laura Hernandez , R. P. J. Perazzo

Community detection in multi-layer networks is a fundamental task in complex network analysis across various areas like social, biological, and computer sciences. However, most existing algorithms assume that the number of communities is…

Methodology · Statistics 2026-02-26 Huan Qing

The Erd\"os Renyi graph is a popular choice to model network data as it is parsimoniously parametrized, straightforward to interprete and easy to estimate. However, it has limited suitability in practice, since it often fails to capture…

Methodology · Statistics 2023-09-27 Barbara Brune , Jonathan Flossdorf , Carsten Jentsch

Real bipartite networks combine degree-constrained random mixing with structured, locality-like rules. We introduce a statistical filter that benchmarks node-level bipartite clustering against degree-preserving randomizations to classify…

Physics and Society · Physics 2025-09-27 Lucía S. Ramírez , Roya Aliakbarisani , M. Ángeles Serrano , Marián Boguñá

Network science is a powerful tool for analyzing complex systems in fields ranging from sociology to engineering to biology. This paper is focused on generative models of large-scale bipartite graphs, also known as two-way graphs or…

Social and Information Networks · Computer Science 2017-09-20 Sinan Aksoy , Tamara G. Kolda , Ali Pinar

Affiliation network is one kind of two-mode social network with two different sets of nodes (namely, a set of actors and a set of social events) and edges representing the affiliation of the actors with the social events. Although a number…

Methodology · Statistics 2017-02-08 Yong Zhang , Xiaodi Qian , Hong Qin , Ting Yan

Studying the topology of so-called {\em real networks}, that is networks obtained from sociological or biological data for instance, has become a major field of interest in the last decade. One way to deal with it is to consider that…

Applications · Statistics 2010-11-23 Etienne Birmele

Motifs are the fundamental components of complex systems. The topological structure of networks representing complex systems and the frequency and distribution of motifs in these networks are intertwined. The complexities associated with…

Social and Information Networks · Computer Science 2020-05-21 Ali Jazayeri , Christopher C. Yang

Mapping network flows provides insight into the organization of networks, but even though many real-networks are bipartite, no method for mapping flows takes advantage of the bipartite structure. What do we miss by discarding this…

Social and Information Networks · Computer Science 2020-11-18 Christopher Blöcker , Martin Rosvall

The network data has attracted considerable attention in modern statistics. In research on complex network data, one key issue is finding its underlying connection structure given a network sample. The methods that have been proposed in…

Methodology · Statistics 2024-08-09 Kang Fu , Jianwei Hu , Seydou Keita

Dynamical processes, such as the diffusion of knowledge, opinions, pathogens, "fake news", innovation, and others, are highly dependent on the structure of the social network on which they occur. However, questions on why most social…

Physics and Society · Physics 2020-05-13 Demival Vasques Filho , Dion R. J. O'Neale

We introduce a quantitative measure of network bipartivity as a proportion of even to total number of closed walks in the network. Spectral graph theory is used to quantify how close to bipartite a network is and the extent to which…

Statistical Mechanics · Physics 2009-11-11 Ernesto Estrada , Juan A. Rodriguez-Velazquez