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We constructs a new network by superposition of hexahedron , which are scale-free, highly sparse,disassortative ,and maximal planar graphs. The network degree distribution, agglomeration coefficient and degree of correlation are computed…

Physics and Society · Physics 2021-04-12 Li Haijun , Lu Qingping

Finding hidden layers in complex networks is an important and a non-trivial problem in modern science. We explore the framework of quantum graphs to determine whether concealed parts of a multi-layer system exist and if so then what is…

Disordered Systems and Neural Networks · Physics 2021-10-04 Łukasz G. Gajewski , Julian Sienkiewicz , Janusz A. Hołyst

Subject of research is complex networks and network systems. The network system is defined as a complex network in which flows are moved. Classification of flows in the network is carried out on the basis of ordering and continuity. It is…

Physics and Society · Physics 2017-02-13 Olexandr Polishchuk

Multilayer networks provide a more advanced and comprehensive framework for modeling real-world systems compared to traditional single-layer and multiplex networks. Unlike single-layer models, multilayer networks have multiple interacting…

Optimization and Control · Mathematics 2025-02-26 Christian D. Rodríguez-Camargo , Andrés F. Urquijo-Rodríguez , Eduardo Mojica-Nava

Multi-layered social networks consist of the fixed set of nodes linked by multiple connections. These connections may be derived from different types of user activities logged in the IT system. To calculate any structural measures for…

Social and Information Networks · Computer Science 2012-10-19 Piotr Bródka , Paweł Stawiak , Przemysław Kazienko

The interactions between the components of many real-world systems are best modelled by networks with multiple layers. Different theories have been proposed to explain how multilayered connections affect the linear stability of…

Physics and Society · Physics 2022-03-25 Charo I. del Genio , Sergio Faci-Lázaro , Jesús Gómez-Gardeñes , Stefano Boccaletti

We propose a novel class of separable multilayer network models to capture cross-layer dependencies in multilayer networks, enabling the analysis of how interactions in one or more layers may influence interactions in other layers. Our…

Statistics Theory · Mathematics 2025-01-10 Jiaheng Li , Jonathan R. Stewart

Community detection is one of the most active fields in complex networks analysis, due to its potential value in practical applications. Many works inspired by different paradigms are devoted to the development of algorithmic solutions…

Social and Information Networks · Computer Science 2012-08-16 Günce Orman , Vincent Labatut , Hocine Cherifi

The network characteristics based on the phonological similarities in the lexicons of several languages were examined. These languages differed widely in their history and linguistic structure, but commonalities in the network…

Physics and Society · Physics 2015-05-13 Samuel Arbesman , Steven H. Strogatz , Michael S. Vitevitch

We introduce a quantitative measure of network bipartivity as a proportion of even to total number of closed walks in the network. Spectral graph theory is used to quantify how close to bipartite a network is and the extent to which…

Statistical Mechanics · Physics 2009-11-11 Ernesto Estrada , Juan A. Rodriguez-Velazquez

Multilayer networks have been the subject of intense research during the last few years, as they represent better the interdependent nature of many real world systems. Here, we address the question of describing the three different…

Physics and Society · Physics 2016-12-07 E. Cozzo , Y. Moreno

Recent advances in the study of networked systems have highlighted that our interconnected world is composed of networks that are coupled to each other through different "layers" that each represent one of many possible subsystems or types…

Networks are useful for describing systems of interacting objects, where the nodes represent the objects and the edges represent the interactions between them. The applications include chemical and metabolic systems, food webs as well as…

Computational Physics · Physics 2009-10-20 Baruch Barzel , Ofer Biham

A wide range of tasks in network analysis, such as clustering network populations or identifying anomalies in temporal graph streams, require a measure of the similarity between two graphs. To provide a meaningful data summary for…

Physics and Society · Physics 2024-10-15 Helcio Felippe , Federico Battiston , Alec Kirkley

The study of complex networks has been historically based on simple graph data models representing relationships between individuals. However, often reality cannot be accurately captured by a flat graph model. This has led to the…

Social and Information Networks · Computer Science 2013-03-21 Matteo Magnani , Barbora Micenkova , Luca Rossi

Adaptive networks are a novel class of dynamical networks whose topologies and states coevolve. Many real-world complex systems can be modeled as adaptive networks, including social networks, transportation networks, neural networks and…

Social and Information Networks · Computer Science 2017-05-29 Hiroki Sayama , Irene Pestov , Jeffrey Schmidt , Benjamin James Bush , Chun Wong , Junichi Yamanoi , Thilo Gross

Multi-layer graphs can capture qualitatively different types of connection between entities, and networks of this kind are prevalent in biological and social systems: for example, a social contact network typically involves both virtual and…

Discrete Mathematics · Computer Science 2020-07-24 Jessica Enright , Kitty Meeks , Jessica Ryan

Topological landscape is introduced for networks with functions defined on the nodes. By extending the notion of gradient flows to the network setting, critical nodes of different indices are defined. This leads to a concise and…

Methodology · Statistics 2012-05-01 E. Weinan , Jianfeng Lu , Yuan Yao

Nestedness characterizes the linkage pattern of networked systems, indicating the likelihood that a node is linked to the nodes linked to the nodes with larger degrees than it. Networks of mutualistic relationship between distinct groups of…

Physics and Society · Physics 2012-03-13 Deok-Sun Lee , Seong Eun Maeng , Jae Woo Lee

The study of interlayer similarity of multiplex networks helps to understand the intrinsic structure of complex systems, revealing how changes in one layer can propagate and affect others, thus enabling broad implications for…

Social and Information Networks · Computer Science 2025-05-13 Haoran Nan , Senquan Wang , Chun Ouyang , Yanchen Zhou , Weiwei Gu