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The investigation of community structure in networks is a task of great importance in many disciplines, namely physics, sociology, biology and computer science where systems are often represented as graphs. One of the challenges is to find…

Physics and Society · Physics 2015-02-17 Emanuele Massaro , Franco Bagnoli

This entry discusses the problem of describing some communities identified in a complex network of interest, in a way allowing to interpret them. We suppose the community structure has already been detected through one of the many methods…

Social and Information Networks · Computer Science 2018-05-18 Vincent Labatut , Günce Keziban Orman

Dense sub-graphs of sparse graphs (communities), which appear in most real-world complex networks, play an important role in many contexts. Most existing community detection algorithms produce a hierarchical structure of community and seek…

Data Structures and Algorithms · Computer Science 2021-01-13 Pascal Pons , Matthieu Latapy

Systematic Literature Reviews aim at investigating current approaches to conclude a research gap or determine a futuristic approach. They represent a significant part of a research activity, from which new concepts stem. However, with the…

Digital Libraries · Computer Science 2022-08-05 Nada Sahlab , Hesham Kahoul , Nasser Jazdi , Michael Weyrich

Many methods have been proposed to detect communities, not only in plain, but also in attributed, directed or even dynamic complex networks. In its simplest form, a community structure takes the form of a partition of the node set. From the…

Social and Information Networks · Computer Science 2014-10-22 Günce Keziban Orman , Vincent Labatut , Marc Plantevit , Jean-François Boulicaut

Discovering community structure in complex networks is a mature field since a tremendous number of community detection methods have been introduced in the literature. Nevertheless, it is still very challenging for practioners to determine…

Social and Information Networks · Computer Science 2021-04-15 Vinh-Loc Dao , Cécile Bothorel , Philippe Lenca

Especially in lattice structured populations, homogeneous mixing represents an inadequate assumption. Various improvements upon the ordinary pair approximation based on a number of assumptions concerning the higher-order correlations have…

Populations and Evolution · Quantitative Biology 2007-05-23 Thomas Petermann , Paolo De Los Rios

Lattices and their order diagrams are an essential tool for communicating knowledge and insights about data. This is in particular true when applying Formal Concept Analysis. Such representations, however, are difficult to comprehend by…

Artificial Intelligence · Computer Science 2023-12-29 Johannes Hirth , Viktoria Horn , Gerd Stumme , Tom Hanika

Knowledge graphs have emerged as a widely adopted medium for storing relational data, making methods for automatically reasoning with them highly desirable. In this paper, we present a novel approach for inducing a hierarchy of subject…

Artificial Intelligence · Computer Science 2021-09-28 Marcin Pietrasik , Marek Reformat

Community structure analysis is a powerful tool for social networks, which can simplify their topological and functional analysis considerably. However, since community detection methods have random factors and real social networks obtained…

Physics and Society · Physics 2015-05-11 Hui-Jia Li , J J. Daniels

Network representations of systems from various scientific and societal domains are neither completely random nor fully regular, but instead appear to contain recurring structural building blocks. These features tend to be shared by…

Social and Information Networks · Computer Science 2016-10-20 Ian Barnett , Nishant Malik , Marieke L. Kuijjer , Peter J. Mucha , Jukka-Pekka Onnela

With the advent of semantic web, various tools and techniques have been introduced for presenting and organizing knowledge. Concept hierarchies are one such technique which gained significant attention due to its usefulness in creating…

Artificial Intelligence · Computer Science 2016-11-30 V. S. Anoop , S. Asharaf , P. Deepak

Category systems are central components of knowledge bases, as they provide a hierarchical grouping of semantically related concepts and entities. They are a unique and valuable resource that is utilized in a broad range of information…

Information Retrieval · Computer Science 2020-08-20 Shuo Zhang , Krisztian Balog , Jamie Callan

Collaborative tagging has emerged as a popular and effective method for organizing and describing pages on the Web. We present Treelicious, a system that allows hierarchical navigation of tagged web pages. Our system enriches the…

Information Retrieval · Computer Science 2015-03-18 Matt Mullins , Perry Fizzano

Networks have become a key approach to understanding systems of interacting objects, unifying the study of diverse phenomena including biological organisms and human society. One crucial step when studying the structure and dynamics of…

Physics and Society · Physics 2010-09-16 Yong-Yeol Ahn , James P. Bagrow , Sune Lehmann

Recent developments in Large Language Models (LLMs) have significantly expanded their applications across various domains. However, the effectiveness of LLMs is often constrained when operating individually in complex environments. This…

Artificial Intelligence · Computer Science 2024-05-08 Silvan Ferreira , Ivanovitch Silva , Allan Martins

In domains with high knowledge distribution a natural objective is to create principle foundations for collaborative interactive learning environments. We present a first mathematical characterization of a collaborative learning group, a…

Artificial Intelligence · Computer Science 2020-08-26 Tom Hanika , Jens Zumbrägel

We introduce an abstract topos-theoretic framework for building Galois-type theories in a variety of different mathematical contexts; such theories are obtained from representations of certain atomic two-valued toposes as toposes of…

Category Theory · Mathematics 2013-01-03 Olivia Caramello

Community structure in networks is often a consequence of homophily, or assortative mixing, based on some attribute of the vertices. For example, researchers may be grouped into communities corresponding to their research topic. This is…

Physics and Society · Physics 2012-02-15 Steve Gregory

Building taxonomies is often a significant part of building an ontology, and many attempts have been made to automate the creation of such taxonomies from relevant data. The idea in such approaches is either that relevant definitions of the…

Artificial Intelligence · Computer Science 2023-12-12 Mathieu d'Aquin