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A general scheme for detecting and analyzing topological patterns in large complex networks is presented. In this scheme the network in question is compared with its properly randomized version that preserves some of its low-level…

Statistical Mechanics · Physics 2008-03-25 Sergei Maslov , Kim Sneppen , Alexei Zaliznyak

Data mining is the practice to search large amount of data to discover data patterns. Data mining uses mathematical algorithms to group the data and evaluate the future events. Association rule is a research area in the field of knowledge…

Databases · Computer Science 2013-02-08 Jnanamurthy H. K.

Traditionally, graph quality metrics focus on readability, but recent studies show the need for metrics which are more specific to the discovery of patterns in graphs. Cluster analysis is a popular task within graph analysis, yet there is…

Data Structures and Algorithms · Computer Science 2019-08-22 Amyra Meidiana , Seok-Hee Hong , Peter Eades , Daniel Keim

In this paper we introduce a new type of pattern -- a flipping correlation pattern. The flipping patterns are obtained from contrasting the correlations between items at different levels of abstraction. They represent surprising…

Databases · Computer Science 2015-03-19 Marina Barsky , Sangkyum Kim , Tim Weninger , Jiawei Han

Gradual pattern mining allows for extraction of attribute correlations through gradual rules such as: "the more X, the more Y". Such correlations are useful in identifying and isolating relationships among the attributes that may not be…

Databases · Computer Science 2021-06-29 Dickson Odhiambo Owuor

Finding dense substructures in a graph is a fundamental graph mining operation, with applications in bioinformatics, social networks, and visualization to name a few. Yet most standard formulations of this problem (like clique, quasiclique,…

Social and Information Networks · Computer Science 2015-03-10 Ahmet Erdem Sariyuce , C. Seshadhri , Ali Pinar , Umit V. Catalyurek

Graphs provide a natural way to represent data by encoding information about objects and the relationships between them. With the ever-increasing amount of data collected and generated, locating specific patterns of relationships between…

Data Structures and Algorithms · Computer Science 2026-04-28 Tatyana Benko , Rebecca Jones , Lucas Tate

Graph-based patterns are extensively employed and favored by practitioners within industrial companies due to their capacity to represent the behavioral attributes and topological relationships among users, thereby offering enhanced…

Machine Learning · Computer Science 2024-11-12 Sheng Tian , Xintan Zeng , Yifei Hu , Baokun Wang , Yongchao Liu , Yue Jin , Changhua Meng , Chuntao Hong , Tianyi Zhang , Weiqiang Wang

Owing to their versatility, graph structures admit representations of intricate relationships between the separate entities comprising the data. We formalise the notion of connection between two vertex sets in terms of edge and vertex…

Machine Learning · Computer Science 2022-08-23 Peter Belcak , Roger Wattenhofer

Complex systems are usually represented as an intricate set of relations between their components forming a complex graph or network. The understanding of their functioning and emergent properties are strongly related to their structural…

Data Analysis, Statistics and Probability · Physics 2014-01-08 Sergio Gomez , Alberto Fernandez , Clara Granell , Alex Arenas

Random graph models are used to describe the complex structure of real-world networks in diverse fields of knowledge. Studying their behavior and fitting properties are still critical challenges, that in general, require model specific…

Statistics Theory · Mathematics 2023-08-30 Suzana de Siqueira Santos , André Fujita , Catherine Matias

Mining association rules is a task of data mining, which extracts knowledge in the form of significant implication relation of useful items (objects) from a database. Mining multilevel association rules uses concept hierarchies, also called…

Databases · Computer Science 2010-12-30 Mohamed Salah Gouider , Amine Farhat

Community detection is an important tool for exploring and classifying the properties of large complex networks and should be of great help for spatial networks. Indeed, in addition to their location, nodes in spatial networks can have…

Physics and Society · Physics 2012-06-01 Federica Cerina , Vincenzo De Leo , Marc Barthelemy , Alessandro Chessa

Frequent and structurally related subgraphs, also known as network motifs, are valuable features of many graph datasets. However, the high computational complexity of identifying motif sets in arbitrary datasets (motif mining) has limited…

Machine Learning · Computer Science 2022-06-08 Carlos Oliver , Dexiong Chen , Vincent Mallet , Pericles Philippopoulos , Karsten Borgwardt

Proximity measures on graphs have a variety of applications in network analysis, including community detection. Previously they have been mainly studied in the context of networks without attributes. If node attributes are taken into…

Social and Information Networks · Computer Science 2022-12-06 Rinat Aynulin , Pavel Chebotarev

In real-world scenarios, large graphs represent relationships among entities in complex systems. Mining these large graphs often containing millions of nodes and edges helps uncover structural patterns and meaningful insights. Dividing a…

Social and Information Networks · Computer Science 2025-09-12 Shrabani Ghosh , Erik Saule

Data-driven analysis of complex networks has been in the focus of research for decades. An important area of research is to study how well real networks can be described with a small selection of metrics, furthermore how well network models…

Social and Information Networks · Computer Science 2022-04-28 Marcell Nagy , Roland Molontay

We discuss the problem of extending data mining approaches to cases in which data points arise in the form of individual graphs. Being able to find the intrinsic low-dimensionality in ensembles of graphs can be useful in a variety of…

Data Analysis, Statistics and Probability · Physics 2013-06-18 Karthikeyan Rajendran , Ioannis G. Kevrekidis

Detecting strong ties among users in social and information networks is a fundamental operation that can improve performance on a multitude of personalization and ranking tasks. Strong-tie edges are often readily obtained from the social…

Social and Information Networks · Computer Science 2017-03-28 Rahmtin Rotabi , Krishna Kamath , Jon Kleinberg , Aneesh Sharma

As with the development of the IT technologies, the amount of accumulated data is also increasing. Thus the role of data mining comes into picture. Association rule mining becomes one of the significant responsibilities of descriptive…

Databases · Computer Science 2014-02-11 Prof. Paresh Tanna , Dr. Yogesh Ghodasara