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Stochasticity is introduced to a well studied class of recursively grown graphs: $(u,v)$-flower nets, which have power-law degree distributions as well as small-world properties (when $u=1$). The stochastic variant interpolates between…

Physics and Society · Physics 2021-10-22 C. Tyler Diggans , Erik M. Bollt , Daniel ben-Avraham

Generative mechanisms which lead to empirically observed structure of networked systems from diverse fields like biology, technology and social sciences form a very important part of study of complex networks. The structure of many…

Physics and Society · Physics 2015-12-03 Snehal M. Shekatkar , G. Ambika

Identifying and explaining the structure of complex networks at different scales has become an important problem across disciplines. At the mesoscale, modular architecture has attracted most of the attention. At the macroscale, other…

Physics and Society · Physics 2018-11-09 María J. Palazzi , Javier Borge-Holthoefer , Claudio Tessone , Albert Solé-Ribalta

Inspired by empirical studies of networked systems such as the Internet, social networks, and biological networks, researchers have in recent years developed a variety of techniques and models to help us understand or predict the behavior…

Statistical Mechanics · Physics 2015-06-24 M. E. J. Newman

We present a numerical analysis of local community assembly through weak migration from a regional species pool. At equilibrium, the local community consists of a subset ("clique") of species from the regional community. Our analysis…

Populations and Evolution · Quantitative Biology 2024-09-04 David A. Kessler , Nadav M. Shnerb

Mutualisms are key for structuring ecological communities, but they are sensitive to environmental change and fluctuations in population size. Consequently, how mutualisms achieve stability remains an open question in ecological theory.…

Populations and Evolution · Quantitative Biology 2026-05-08 Matheus Bongestab , David Pinto-Ramos , Ricardo Martinez-Garcia

Following up on a previous work we examine a model of transportation network in some source-sink flow paradigm subjected to growth and resource allocation. The model is inspired from plants, and we add rules and factors that are analogous…

Adaptation and Self-Organizing Systems · Physics 2021-02-03 Olivier Bui , Xavier Leoncini

Mutualistic networks provide a powerful way to describe and analyse plant-pollinator communities and their structure over time. While these networks capture the complex interdependencies that link population fates across the season, they…

Physics and Society · Physics 2026-04-09 Tom Clegg , Thilo Gross

The Tangled Nature Model of biological and cultural evolution features interacting agents which compete for limited resources and reproduce in an error prone fashion and at a rate depending on the `tangle' of interactions they maintain with…

Populations and Evolution · Quantitative Biology 2016-05-25 Christian Walther Andersen , Paolo Sibani

Despite the structural properties of online social networks have attracted much attention, the properties of the close-knit friendship structures remain an important question. Here, we mainly focus on how these mesoscale structures are…

Physics and Society · Physics 2015-06-05 Ai-xiang Cui , Zi-ke Zhang , Ming Tang , Pak Ming Hui , Yan Fu

The concept of nestedness, in particular for ecological and economical networks, has been introduced as a structural characteristic of real interacting systems. We suggest that the nestedness is in fact another way to express a mesoscale…

Physics and Society · Physics 2016-02-22 Sang Hoon Lee

Many networks in political and social research are bipartite, with edges connecting exclusively across two distinct types of nodes. A common example includes cosponsorship networks, in which legislators are connected indirectly through the…

Applications · Statistics 2024-12-11 Adeline Lo , Santiago Olivella , Kosuke Imai

Several networks occurring in real life have modular structures that are arranged in an hierarchical fashion. In this paper, we have proposed a model for such networks, using a stochastic generation method. Using this model we show that,…

Physics and Society · Physics 2009-03-12 Raj Kumar Pan , Sitabhra Sinha

Self-organization and pattern formation in network-organized systems emerges from the collective activation and interaction of many interconnected units. A striking feature of these non-equilibrium structures is that they are often…

Physics and Society · Physics 2016-02-23 Christos Nicolaides , Ruben Juanes , Luis Cueto-Felgueroso

We derive the sampling properties of random networks based on weights whose pairwise products parameterize independent Bernoulli trials. This enables an understanding of many degree-based network models, in which the structure of realized…

Statistics Theory · Mathematics 2013-06-07 Sofia C. Olhede , Patrick J. Wolfe

Bipartite (two-mode) networks are important in the analysis of social and economic systems as they explicitly show conceptual links between different types of entities. However, applications of such networks often work with a projected…

Physics and Society · Physics 2019-03-05 Demival Vasques Filho , Dion R. J. O'Neale

Complex systems contain a lot of individuals and some interactions between them. The structure of interactions can be modeled to be a network: nodes represent individuals and links to be interaction between two individuals. This paper tries…

Condensed Matter · Physics 2007-05-23 Jing Han , Wei Li

In contrast to dyadic interactions, higher-order interactions may contain one another, with subgroups naturally embedded within larger groups. These containment patterns arise empirically in ecology, sociology, computer science and the…

We propose a theoretical model for species that is focused on intrinsic organization and processes. Specifically, we regard species to be networks of organisms integrated by reproductive mechanisms (e.g., conjugation, meiosis, syngamy)…

Populations and Evolution · Quantitative Biology 2008-08-13 David Kizirian , Maureen A. Donnelly

Network science plays an increasingly important role to model complex data in many scientific disciplines. One notable feature of network organization is community structure, which refers to clusters of tightly interconnected nodes. A…

Social and Information Networks · Computer Science 2016-03-18 Dimitri Van De Ville