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Research in network science has shown that many naturally occurring and technologically constructed networks are scale free, that means a power law degree distribution emerges from a growth model in which each new node attaches to the…

物理与社会 · 物理学 2009-11-11 Michael Schnegg

Food webs can be regarded as energy transporting networks in which the weight of each edge denotes the energy flux between two species. By investigating 21 empirical weighted food webs as energy flow networks, we found several ubiquitous…

生物物理 · 物理学 2015-03-13 Jiang Zhang , Liangpeng Guo

A model for growing networks is introduced, having as a main ingredient that new nodes are attached to the network through one existing node and then explore the network through the links of the visited nodes. From exact calculations of two…

统计力学 · 物理学 2007-05-23 Alexei Vazquez

We study the problem of random search in finite networks with a tree topology, where it is expected that the distribution of the first-passage time F(t) decays exponentially. We show that the slope of the exponential tail is independent of…

统计力学 · 物理学 2018-11-22 M. Reza Shaebani , Robin Jose , Christian Sand , Ludger Santen

A spatial scale-free network is introduced and studied whose motivation has been originated in the growing Internet as well as the Airport networks. We argue that in these real-world networks a new node necessarily selects one of its…

统计力学 · 物理学 2009-11-11 G. Mukherjee , S. S. Manna

Several kinds of walks on complex networks are currently used to analyze search and navigation in different systems. Many analytical and computational results are known for random walks on such networks. Self-avoiding walks (SAWs) are…

无序系统与神经网络 · 物理学 2009-11-10 Carlos P. Herrero

The concept of node walk in graphs and complex networks has been addressed, consisting of one or more nodes that move into adjacent nodes, henceforth incorporating the respective connections. This type of dynamics is then applied to subsume…

物理与社会 · 物理学 2024-06-07 Alexandre Benatti , Luciano da F. Costa

We investigate the dynamic scaling properties of stochastic particle systems on a non-deterministic scale-free network. It has been known that the dynamic scaling behavior depends on the degree distribution exponent of the underlying…

统计力学 · 物理学 2007-05-23 Jae Dong Noh , Sang-Woo Kim

Navigation process is studied on a variant of the Watts-Strogatz small world network model embedded on a square lattice. With probability $p$, each vertex sends out a long range link, and the probability of the other end of this link…

无序系统与神经网络 · 物理学 2009-11-11 Jian-Zhen Chen , Wei Liu , Jian-Yang Zhu

We introduce and solve a model which considers two coupled networks growing simultaneously. The dynamics of the networks is governed by the new arrival of network elements (nodes) making preferential attachments to pre-existing nodes in…

统计力学 · 物理学 2007-05-23 Dafang Zheng , Guler Ergun

We perform an analysis of the way individual users navigate in the Web. We focus primarily in the temporal patterns of they return to a given page. The return probability as a function of time as well as the distribution of time intervals…

人机交互 · 计算机科学 2010-04-27 Bruno Goncalves , Jose J. Ramasco

The importance of nodes in a network constantly fluctuates based on changes in the network structure as well as changes in external interest. We propose an evolving teleportation adaptation of the PageRank method to capture how changes in…

社会与信息网络 · 计算机科学 2012-03-29 Ryan A. Rossi , David F. Gleich

Degree distribution of nodes, especially a power law degree distribution, has been regarded as one of the most significant structural characteristics of social and information networks. Node degree, however, only discloses the first-order…

社会与信息网络 · 计算机科学 2010-09-23 Ajay Sridharan , Yong Gao , Kui Wu , James Nastos

We present an empirical study of the networks created by users within internet news groups and forums and show that they organise themselves into scale-free trees. The structure of these trees depends on the topic under discussion;…

物理与社会 · 物理学 2008-02-25 Bernard Kujawski , Janusz A. Holyst , Geoff J. Rodgers

This paper is to analyze the properties of evolving bipartite networks from four aspects, the growth of networks, the degree distribution, the popularity of objects and the diversity of user behaviours, leading a deep understanding on the…

物理与社会 · 物理学 2015-10-29 Xin-Yi Lu , Jian-Hong Lin , Qiang Guo , Jian-Guo Liu

This article addresses the degree distribution of subnetworks, namely the number of links between the nodes in each subnetwork and the remainder of the structure (cond-mat/0408076). The transformation from a subnetwork-partitioned model to…

无序系统与神经网络 · 物理学 2007-05-23 Luciano da Fontoura Costa

Tools of the theory of critical phenomena, namely the scaling analysis and universality, are argued to be applicable to large complex web-like network structures. Using a detailed analysis of the real data of the International Trade Network…

综合金融 · 定量金融 2009-11-13 K. Bhattacharya , G. Mukherjee , J. Saramaki , K. Kaski , S. S. Manna

We address the problem of message transfer in a communication network. The network consists of nodes and links, with the nodes lying on a two dimensional lattice. Each node has connections with its nearest neighbours, whereas some special…

统计力学 · 物理学 2007-05-23 Brajendra K. Singh , Neelima M. Gupte

Empirical studies on the spatial structures in several real transport networks reveal that the distance distribution in these networks obeys power law. To discuss the influence of the power-law exponent on the network's structure and…

物理与社会 · 物理学 2015-05-14 Hua Yang , Yuchao Nie , Ying Fan , Yanqing Hu , Zengru Di

Modeling human dynamics responsible for the formation and evolution of the so-called social networks - structures comprised of individuals or organizations and indicating connectivities existing in a community - is a topic recently…

计算机与社会 · 计算机科学 2007-05-23 Victor V. Kryssanov , Frank J. Rinaldo , Evgeny L. Kuleshov , Hitoshi Ogawa