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Symmetry breaking is a popular technique to reduce the search space for SAT solving by exploiting the underlying symmetry over variables and clauses in a formula. The key idea is to first identify sets of assignments which fall in the same…

Logic in Computer Science · Computer Science 2020-01-17 Saket Dingliwal , Ronak Agarwal , Happy Mittal , Parag Singla

A number of recent studies have focused on the statistical properties of networked systems such as social networks and the World-Wide Web. Researchers have concentrated particularly on a few properties which seem to be common to many…

Statistical Mechanics · Physics 2009-11-07 Michelle Girvan , M. E. J. Newman

With invaluable theoretical and practical benefits, the problem of partitioning networks for community structures has attracted significant research attention in scientific and engineering disciplines. In literature, Newman's modularity…

Social and Information Networks · Computer Science 2018-02-06 Wenye Li

Many networks of interest in the sciences, including a variety of social and biological networks, are found to divide naturally into communities or modules. The problem of detecting and characterizing this community structure has attracted…

Data Analysis, Statistics and Probability · Physics 2007-05-23 M. E. J. Newman

Learning the causal structure behind data is invaluable for improving generalization and obtaining high-quality explanations. We propose a novel framework, Invariant Structure Learning (ISL), that is designed to improve causal structure…

Machine Learning · Computer Science 2022-06-15 Yunhao Ge , Sercan Ö. Arik , Jinsung Yoon , Ao Xu , Laurent Itti , Tomas Pfister

The study of the sub-structure of complex networks is of major importance to relate topology and functionality. Many efforts have been devoted to the analysis of the modular structure of networks using the quality function known as…

Data Analysis, Statistics and Probability · Physics 2011-07-01 Belkacem Serrour , Alex Arenas , Sergio Gomez

The Constraint Satisfaction Problem (CSP) is ubiquitous in various areas of mathematics and computer science. Many of its variations have been studied including the Counting CSP, where the goal is to find the number of solutions to a CSP…

Computational Complexity · Computer Science 2025-01-24 Amirhossein Kazeminia , Andrei A. Bulatov

The scientific community of researchers in a research specialty is an important unit of analysis for understanding the field specific shaping of scientific communication practices. These scientific communities are, however, a challenging…

Social and Information Networks · Computer Science 2013-01-10 Theresa Velden , Carl Lagoze

There are several metrics (Modularity, Mutual Information, Conductance, etc.) to evaluate the strength of graph clustering in large graphs. These metrics have great significance to measure the effectiveness and they are often used to find…

Social and Information Networks · Computer Science 2016-10-12 Md. Khaledur Rahman

Community detection approaches resolve complex networks into smaller groups (communities) that are expected to be relatively edge-dense and well-connected. The stochastic block model (SBM) is one of several approaches used to uncover…

Social and Information Networks · Computer Science 2025-02-17 Minhyuk Park , Daniel Wang Feng , Siya Digra , The-Anh Vu-Le , George Chacko , Tandy Warnow

Graphs representing real world systems may be studied from their underlying community structure. A community in a network is an intuitive idea for which there is no consensus on its objective mathematical definition. The most used metric in…

Social and Information Networks · Computer Science 2022-06-29 Daniel Gamermann , José Antônio Pellizaro

Circuit Satisfiability (CSAT) plays a pivotal role in Electronic Design Automation. The standard workflow for solving CSAT problems converts circuits into Conjunctive Normal Form (CNF) and employs generic SAT solvers powered by…

Artificial Intelligence · Computer Science 2025-08-07 Jiaying Zhu , Ziyang Zheng , Zhengyuan Shi , Yalun Cai , Qiang Xu

Critical analysis of the state of the art is a necessary task when identifying new research lines worthwhile to pursue. To such an end, all the available work related to the field of interest must be taken into account. The key point is how…

Social and Information Networks · Computer Science 2017-02-09 C. Muñoz-Caro , A. Niño , S. Reyes

Community structure analysis is a powerful tool for complex networks, which can simplify their functional analysis considerably. Recently, many approaches were proposed to community structure detection, but few works were focused on the…

Physics and Society · Physics 2010-02-11 Yanqing Hu , Yiming Ding , Ying Fan , Zengru Di

Community detection in social networks is a problem with considerable interest, since, discovering communities reveals hidden information about networks. There exist many algorithms to detect inherent community structures and recently few…

Social and Information Networks · Computer Science 2019-11-21 Waqas Nawaz

Community structure is an important property that captures inhomogeneities common in large networks, and modularity is one of the most widely used metrics for such community structure. In this paper, we introduce a principled methodology,…

Social and Information Networks · Computer Science 2018-01-08 Luca Baldesi , Athina Markopoulou , Carter T. Butts

Community structure is a commonly observed feature of real networks. The term refers to the presence in a network of groups of nodes (communities) that feature high internal connectivity, but are poorly connected between each other. Whereas…

Applications · Statistics 2021-10-07 Mirko Signorelli , Luisa Cutillo

We compare recent approaches to community structure identification in terms of sensitivity and computational cost. The recently proposed modularity measure is revisited and the performance of the methods as applied to ad hoc networks with…

Disordered Systems and Neural Networks · Physics 2007-05-23 Leon Danon , Jordi Duch , Albert Diaz-Guilera , Alex Arenas

This paper is an extensive survey of literature on complex network communities and clustering. Complex networks describe a widespread variety of systems in nature and society especially systems composed by a large number of highly…

Social and Information Networks · Computer Science 2015-03-24 Biswajit Saha , Amitabha Mandal , Soumendu Bikas Tripathy , Debaprasad Mukherjee

Starting from a general \textit{ansatz}, we show how community detection can be interpreted as finding the ground state of an infinite range spin glass. Our approach applies to weighted and directed networks alike. It contains the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Joerg Reichardt , Stefan Bornholdt