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Networks are a fundamental model of complex systems throughout the sciences, and network datasets are typically analyzed through lower-order connectivity patterns described at the level of individual nodes and edges. However, higher-order…

Social and Information Networks · Computer Science 2018-02-21 Austin R. Benson

Network motifs are recurrent, small-scale patterns of interactions observed frequently in a system. They shed light on the interplay between the topology and the dynamics of complex networks across various domains. In this work, we focus on…

Social and Information Networks · Computer Science 2023-11-08 Quintino Francesco Lotito , Federico Musciotto , Federico Battiston , Alberto Montresor

Many real world networks contain a statistically surprising number of certain subgraphs, called network motifs. In the prevalent approach to motif analysis, network motifs are detected by comparing subgraph frequencies in the original…

Social and Information Networks · Computer Science 2014-11-25 Anatol E. Wegner

The study of motifs in networks can help researchers uncover links between the structure and function of networks in biology, sociology, economics, and many other areas. Empirical studies of networks have identified feedback loops,…

Physics and Society · Physics 2021-05-12 Alice C. Schwarze , Mason A. Porter

Interaction networks are of central importance in post-genomic molecular biology, with increasing amounts of data becoming available by high-throughput methods. Examples are gene regulatory networks or protein interaction maps. The main…

Statistical Mechanics · Physics 2009-11-10 Johannes Berg , Michael Lässig

Great part of the interest in complex networks has been motivated by the presence of structured, frequently non-uniform, connectivity. Because diverse connectivity patterns tend to result in distinct network dynamics, and also because they…

Disordered Systems and Neural Networks · Physics 2009-11-13 Paulino R. Villas Boas , Francisco A. Rodrigues , Gonzalo Travieso , Luciano da F. Costa

A widely-used operation on graphs is local clustering, i.e., extracting a well-characterized community around a seed node without the need to process the whole graph. Recently local motif clustering has been proposed: it looks for a local…

Social and Information Networks · Computer Science 2022-05-13 Adil Chhabra , Marcelo Fonseca Faraj , Christian Schulz

Network motifs are small building blocks of complex networks. Statistically significant motifs often perform network-specific functions. However, the precise nature of the connection between motifs and the global structure and function of…

Physics and Society · Physics 2015-03-03 Almerima Jamakovic , Priya Mahadevan , Amin Vahdat , Marian Boguna , Dmitri Krioukov

We introduce a new method for finding network motifs: interesting or informative subgraph patterns in a network. Subgraphs are motifs when their frequency in the data is high compared to the expected frequency under a null model. To compute…

Machine Learning · Computer Science 2021-04-19 Peter Bloem , Steven de Rooij

Complex networks have been characterised by their specific connectivity patterns (network motifs), but their building blocks can also be identified and described by node-motifs---a combination of local network features. One technique to…

Many real-world phenomena are best represented as interaction networks with dynamic structures (e.g., transaction networks, social networks, traffic networks). Interaction networks capture flow of data which is transferred between their…

Social and Information Networks · Computer Science 2018-10-22 Chrysanthi Kosyfaki , Nikos Mamoulis , Evaggelia Pitoura , Panayiotis Tsaparas

Multiplex networks are a powerful framework for representing systems with multiple types of interactions among a common set of entities. Understanding their structure requires statistical tools capturing higher-order cross-layer…

Statistics Theory · Mathematics 2026-03-30 Karl Sawaya , Sofia Olhede

Network motifs are characteristic patterns which occur in the networks essentially more frequently than the other patterns. For five motifs found in S. Itzkovitz, U. Alon, Phys. Rev.~E, 2005, 71, 026117-1, hierarchical random graphs are…

Mathematical Physics · Physics 2015-04-02 Monika Kotorowicz , Yuri Kozitsky

Understanding the structure and dynamics of biological networks is one of the important challenges in system biology. In addition, increasing amount of experimental data in biological networks necessitate the use of efficient methods to…

Artificial Intelligence · Computer Science 2012-07-17 Mohammadreza Keyvanpour , Fereshteh Azizani

Deviations from the average can provide valuable insights about the organization of natural systems. The present article extends this important principle to the systematic identification and analysis of singular motifs in complex networks.…

Physics and Society · Physics 2010-03-17 Luciano da Fontoura Costa , Francisco Rodrigues , Claus C. Hilgetag , Marcus Kaiser

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

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

The structure of the network can be described by motifs, which are subgraphs that often repeat themselves. In order to understand the structure of network motifs, it is of great importance to study subgraphs from the perspective of…

General Topology · Mathematics 2019-10-25 Ruize Gao , Ying Zhao

Motifs are thought to be some fundamental components of social face-to-face interaction temporal networks. However, the motifs previously considered are either limited to a handful of nodes and edges, or do not include triangles, which are…

Physics and Society · Physics 2025-05-19 Didier Le Bail

In the age of social computing, finding interesting network patterns or motifs is significant and critical for various areas such as decision intelligence, intrusion detection, medical diagnosis, social network analysis, fake news…

Social and Information Networks · Computer Science 2022-04-07 Shuo Yu , Feng Xia , Yuchen Sun , Tao Tang , Xiaoran Yan , Ivan Lee