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As complex networks find applications in a growing range of disciplines, the diversity of naturally occurring and model networks being studied is exploding. The adoption of a well-developed collection of network taxonomies is a natural…

Combinatorics · Mathematics 2016-01-25 Ann Sizemore , Chad Giusti , Danielle Bassett

Computer networks have been traditionally configured by humans using command-line interfaces. Some network abstractions have emerged in the last 10 years, but there is no easy way of comparing them to each other objectively. Therefore,…

Networking and Internet Architecture · Computer Science 2023-08-02 Jose Moreno

Large, complex networks are ubiquitous in nature and society, and there is great interest in developing rigorous, scalable methods for identifying and characterizing their vulnerabilities. This paper presents an approach for analyzing the…

Dynamical Systems · Mathematics 2010-12-30 Richard Colbaugh , Kristin Glass

In recent years, graph theory has been widely employed to probe several language properties. More specifically, the so-called word adjacency model has been proven useful for tackling several practical problems, especially those relying on…

Computation and Language · Computer Science 2015-03-04 Diego R. Amancio

Recent evidence indicates that the abundance of recurring elementary interaction patterns in complex networks, often called subgraphs or motifs, carry significant information about their function and overall organization. Yet, the…

Disordered Systems and Neural Networks · Physics 2009-11-10 A. Vazquez , R. Dobrin , D. Sergi , J. -P. Eckmann , Z. N. Oltvai , A. -L. Barabasi

Complex networks are an important paradigm of modern complex systems sciences which allows quantitatively assessing the structural properties of systems composed of different interacting entities. During the last years, intensive efforts…

Long lived topological features are distinguished from short lived ones (considered as topological noise) in simplicial complexes constructed from complex networks. A new topological invariant, persistent homology, is determined and…

Mathematical Physics · Physics 2009-11-13 Danijela Horak , Slobodan Maletic , Milan Rajkovic

Mathematical software and graph-theoretical algorithmic packages to efficiently model, analyze and query graphs are crucial in an era where large-scale spatial, societal and economic network data are abundantly available. One such package…

Data Structures and Algorithms · Computer Science 2020-02-04 Dimitrios Michail , Joris Kinable , Barak Naveh , John V Sichi

The structure of real-world networks is usually difficult to characterize owing to the variation of topological scales, the nondyadic complex interactions, and the fluctuations in the network. We aim to address these problems by introducing…

Social and Information Networks · Computer Science 2019-09-25 Quoc Hoan Tran , Van Tuan Vo , Yoshihiko Hasegawa

Modularity is a desirable characteristic for software systems. In this article we propose to use a quantitative method from complex network sciences to estimate the coherence between the modularity of the dependency network of large open…

Software Engineering · Computer Science 2013-03-04 Marcelo Serrano Zanetti , Frank Schweitzer

The learnability of different neural architectures can be characterized directly by computable measures of data complexity. In this paper, we reframe the problem of architecture selection as understanding how data determines the most…

Machine Learning · Computer Science 2018-02-14 William H. Guss , Ruslan Salakhutdinov

Real-world complex networks are usually being modeled as graphs. The concept of graphs assumes that the relations within the network are binary (for instance, between pairs of nodes); however, this is not always true for many real-life…

Social and Information Networks · Computer Science 2020-05-06 Alessia Antelmi , Gennaro Cordasco , Bogumił Kamiński , Paweł Prałat , Vittorio Scarano , Carmine Spagnuolo , Przemyslaw Szufel

This article investigates the performance of grid computing systems whose interconnections are given by random and scale-free complex network models. Regular networks, which are common in parallel computing architectures, are also used as a…

Statistical Mechanics · Physics 2009-11-10 Luciano da Fontoura Costa , Gonzalo Travieso , Carlos Antonio Ruggiero

Modern communication networks are inherently complex in nature. First of all, they have a large number of heterogeneous components. Secondly, their connectivity is extremely dynamic. Nodes can come and go, links can be removed and added…

Social and Information Networks · Computer Science 2017-08-08 Bisma S. Khan , Muaz A. Niazi

In this paper, we present a complex network approach to the study of software engineering. We have found universal network patterns in a large collection of object-oriented (OO) software systems written in C++ and Java. All the systems…

Disordered Systems and Neural Networks · Physics 2009-09-29 Sergi Valverde , Ricard V. Sole

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

Higher-order network analysis uses the ideas of hypergraphs, simplicial complexes, multilinear and tensor algebra, and more, to study complex systems. These are by now well established mathematical abstractions. What's new is that the ideas…

Social and Information Networks · Computer Science 2021-03-10 Austin R. Benson , David F. Gleich , Desmond J. Higham

We study aggregation as a mechanism for the creation of complex networks. In this evolution process vertices merge together, which increases the number of highly connected hubs. We study a range of complex network architectures produced by…

Statistical Mechanics · Physics 2009-11-10 M. J. Alava , S. N. Dorogovtsev

Using each node's degree as a proxy for its importance, the topological hierarchy of a complex network is introduced and quantified. We propose a simple dynamical process used to construct networks which are either maximally or minimally…

Soft Condensed Matter · Physics 2008-06-24 Ala Trusina , Sergei Maslov , Petter Minnhagen , Kim Sneppen

Complex networks are characterized by several topological properties: degree distribution, clustering coefficient, average shortest path length, etc. Using a simple model to generate scale-free networks embedded on geographical space, we…

Disordered Systems and Neural Networks · Physics 2013-11-20 Satoru Morita