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We introduce a method to find network motifs in knowledge graphs. Network motifs are useful patterns or meaningful subunits of the graph that recur frequently. We extend the common definition of a network motif to coincide with a basic…

Machine Learning · Statistics 2021-04-19 Peter Bloem

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

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 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

To understand the structure of a network, it can be useful to break it down into its constituent pieces. This is the approach taken in a multitude of successful network analysis methods, such as motif analysis. These methods require one to…

Physics and Society · Physics 2023-08-02 Tarmo Nurmi , Mikko Kivelä

Motif discovery is a powerful and insightful method to quantify network structures and explore their function. As a case study, we present a comprehensive analysis of regulatory motifs in the connectome of the model organism Caenorhabditis…

Molecular Networks · Quantitative Biology 2024-09-02 Deepak Sharma , Matthias Renz , Philipp Hövel

The problem of calculating the frequencies of network motifs on three and four nodes in large networks is considered. Telecommunications networks, cell molecular networks are investigated. The sizes of the investigated networks are hundreds…

Social and Information Networks · Computer Science 2020-01-08 M. N. Yudina , V. N. Zadorozhnyi , E. B. Yudin

The mining of pattern subgraphs, known as motifs, is a core task in the field of graph mining. Edges in real-world networks often have timestamps, so there is a need for temporal motif mining. A temporal motif is a richer structure that…

Databases · Computer Science 2025-07-29 Yunjie Pan , Omkar Bhalerao , C. Seshadhri , Nishil Talati

Pattern counting in graphs is fundamental to network science tasks, and there are many scalable methods for approximating counts of small patterns, often called motifs, in large graphs. However, modern graph datasets now contain richer…

Social and Information Networks · Computer Science 2018-10-03 Paul Liu , Austin Benson , Moses Charikar

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

The identification and counting of small graph patterns, called network motifs, is a fundamental primitive in the analysis of networks, with application in various domains, from social networks to neuroscience. Several techniques have been…

Social and Information Networks · Computer Science 2021-01-19 Ilie Sarpe , Fabio Vandin

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

Counting the frequencies of 3-, 4-, and 5-node undirected motifs (also know as graphlets) is widely used for understanding complex networks such as social and biology networks. However, it is a great challenge to compute these metrics for a…

Social and Information Networks · Computer Science 2015-12-18 Pinghui Wang , Jing Tao , Junzhou Zhao , Xiaohong Guan

Network community detection is a hot research topic in network analysis. Although many methods have been proposed for community detection, most of them only take into consideration the lower-order structure of the network at the level of…

Social and Information Networks · Computer Science 2019-06-12 Pei-Zhen Li , Ling Huang , Chang-Dong Wang , Jian-Huang Lai

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

Recently, the core-periphery (CP) structure of networks as one type of meso-scale structure has received attention. The CP structure is composed of a dense core and a sparse connected periphery. In this paper, we propose an algorithm to…

Physics and Society · Physics 2018-06-01 Chuang Ma , Bing-Bing Xiang , Hai-Feng Zhang , Han-Shuang Chen , Michael Small

The identification of motifs--subgraphs that appear significantly more often in a particular network than in an ensemble of randomized networks--has become a ubiquitous method for uncovering potentially important subunits within networks…

Molecular Networks · Quantitative Biology 2010-08-27 Reid Ginoza , Andrew Mugler

Link prediction is one of the central problems in graph mining. However, recent studies highlight the importance of higher-order network analysis, where complex structures called motifs are the first-class citizens. We first show that…

Detecting repeated variable-length patterns, also called variable-length motifs, has received a great amount of attention in recent years. Current state-of-the-art algorithm utilizes fixed-length motif discovery algorithm as a subroutine to…

Data Structures and Algorithms · Computer Science 2018-02-15 Yifeng Gao , Jessica Lin

Higher-order graph clustering aims to partition the graph using frequently occurring subgraphs. Motif conductance is one of the most promising higher-order graph clustering models due to its strong interpretability. However, existing motif…

Computational Complexity · Computer Science 2024-06-12 Longlong Lin , Tao Jia , Zeli Wang , Jin Zhao , Rong-Hua Li