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We study a supremacy distribution in evolving Barabasi-Albert networks. The supremacy $s_i$ of a node $i$ is defined as a total number of all nodes that are younger than $i$ and can be connected to it by a directed path. For a network with…

统计力学 · 物理学 2009-11-10 Janusz A. Holyst , Agata Fronczak , Piotr Fronczak

Models of complex networks often incorporate node-intrinsic properties abstracted as hidden variables. The probability of connections in the network is then a function of these variables. Real-world networks evolve over time, and many…

物理与社会 · 物理学 2021-05-19 Harrison Hartle , Fragkiskos Papadopoulos , Dmitri Krioukov

We study information aggregation in networks when agents interact to learn a binary state of the world. Initially each agent privately observes an independent signal which is "correct" with probability $\frac{1}{2}+\delta$ for some $\delta…

计算机科学与博弈论 · 计算机科学 2025-08-12 Divyarthi Mohan , Pawel Pralat

Temporal social networks of human interactions are preponderant in understanding the fundamental patterns of human behavior. In these networks, interactions occur locally between individuals (i.e., nodes) who connect with each other at…

物理与社会 · 物理学 2022-10-11 Shaunette T. Ferguson , Teruyoshi Kobayashi

We introduce a model for a preferentially attached network which has grown from a small world network. Here, the average path length and the clustering coefficient are estimated, and the topological properties of modeled networks are…

物理与社会 · 物理学 2015-12-04 Seungyoung Lee

We highlight intriguing features of complex networks that are grown by \emph{redirection}. In this mechanism, a target node is chosen uniformly at random from the pre-existing network nodes and the new node attaches either to this initial…

物理与社会 · 物理学 2025-01-14 P. L. Krapivsky , S. Redner

We consider models for growing networks incorporating two effects not previously considered: (i) different species of nodes, with each species having different properties (such as different attachment probabilities to other node species);…

数据分析、统计与概率 · 物理学 2009-11-07 Jong-Won Kim , Brian Hunt , Edward Ott

Many networks are complex dynamical systems, where both attributes of nodes and topology of the network (link structure) can change with time. We propose a model of co-evolving networks where both node at- tributes and network structure…

社会与信息网络 · 计算机科学 2011-06-15 Yoon-Sik Cho , Greg Ver Steeg , Aram Galstyan

We define a dynamic model of random networks, where new vertices are connected to old ones with a probability proportional to a sublinear function of their degree. We first give a strong limit law for the empirical degree distribution, and…

概率论 · 数学 2008-07-31 Steffen Dereich , Peter Morters

Nowadays, the exponentially growing of the Web renders the problem of correlation among different topics of paramount importance. The proposed model can be used to study the evolution of network depicted by different topics on the web…

社会与信息网络 · 计算机科学 2015-01-05 Massimiliano Dal Mas

We model a social-encounter network where linked nodes match for reproduction in a manner depending probabilistically on each node`s attractiveness. The developed model reveals that increasing either the network`s mean degree or the…

物理与社会 · 物理学 2017-06-22 S. Dipple , T. Jia , T. Caraco , G. Korniss , B. K. Szymanski

The study of network structural controllability focuses on the minimum number of driver nodes needed to control a whole network. Despite intensive studies on this topic, most of them consider static networks only. It is well-known, however,…

物理与社会 · 物理学 2021-01-27 Rui Zhang , Xiaomeng Wang , Ming Cheng , Tao Jia

In this work, a growing network model that can generate a random network with finite degree in infinite time is studied. The dynamics are governed by a rule where the degree increases under a scheme similar to the Malthus-Verhulst model in…

物理与社会 · 物理学 2016-05-09 M. O. Hase , H. L. Casa Grande

We study growing networks in which each link carries a certain weight (randomly assigned at birth and fixed thereafter). The weight of a node is defined as the sum of the weights of the links attached to the node, and the network grows via…

无序系统与神经网络 · 物理学 2009-11-10 T. Antal , P. L. Krapivsky

The problem of link prediction has attracted considerable recent attention from various domains such as sociology, anthropology, information science, and computer sciences. A link prediction algorithm is proposed based on link similarity…

社会与信息网络 · 计算机科学 2015-02-17 Maosheng Jiang , Yonxiang Chen , Ling Chen

We analyze five big data sets from a variety of online social networking (OSN) systems and find that the growth dynamics of meme popularity exhibit characteristically different behaviors. For example, there is linear growth associated with…

社会与信息网络 · 计算机科学 2019-03-27 Le-Zhi Wang , Zhi-Dan Zhao , Jun-Jie Jiang , Bing-Hui Guo , Xiao Wang , Zi-Gang Huang , Ying-Cheng Lai

We present a new network model accounting for multidimensional assortativity. Each node is characterized by a number of features and the probability of a link between two nodes depends on common features. We do not fix a priori the total…

社会与信息网络 · 计算机科学 2016-01-19 Irene Crimaldi , Michela Del Vicario , Greg Morrison , Walter Quattrociocchi , Massimo Riccaboni

We derive novel analytic tools for the Bass and SI models on networks for the spreading of innovations and epidemics on networks. We prove that the correlation between the nonadoption (noninfection) probabilities of $L \ge 2$ disjoint…

物理与社会 · 物理学 2024-11-20 Gadi Fibich , Tomer Levin , Steven Schochet

We consider the influence of local noise on a generalized network of populations having positive and negative feedbacks. The population dynamics at the nodes is nonlinear, typically chaotic, and allows cessation of activity if the…

混沌动力学 · 物理学 2014-12-03 Anshul Choudhary , Vivek Kohar , Sudeshna sinha

Measuring and optimizing the influence of nodes in big-data online social networks are important for many practical applications, such as the viral marketing and the adoption of new products. As the viral spreading on social network is a…

物理与社会 · 物理学 2018-07-31 Yanqing Hu , Shenggong Ji , Yuliang Jin , Ling Feng , H. Eugene Stanley , Shlomo Havlin