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How are people linked in a highly connected society? Since in many networks a power-law (scale-free) node-degree distribution can be observed, power-law might be seen as a universal characteristics of networks. But this study of…

物理与社会 · 物理学 2023-06-22 Matthias Scholz

We investigate the number $V_p(n)$ of distinct sites visited by an $n$-step resetting random walker on a $d$-dimensional hypercubic lattice with resetting probability $p$. In the case $p=0$, we recover the well-known result that the average…

统计力学 · 物理学 2022-06-08 Marco Biroli , Francesco Mori , Satya N. Majumdar

Predicting the occurrence of links is a fundamental problem in networks. In the link prediction problem we are given a snapshot of a network and would like to infer which interactions among existing members are likely to occur in the near…

社会与信息网络 · 计算机科学 2010-11-19 L. Backstrom , J. Leskovec

In recent years, community structure has emerged as a key component of complex network analysis. As more data has been collected, researchers have begun investigating changing community structure across multiple networks. Several methods…

社会与信息网络 · 计算机科学 2011-08-03 Matthew Steen , Satoru Hayasaka , Karen Joyce , Paul Laurienti

We analyze access statistics of a hundred and fifty blog entries and news articles, for periods of up to three years. Access rate falls as an inverse power of time passed since publication. The power law holds for periods of up to thousand…

信息检索 · 计算机科学 2015-09-15 M. V. Simkin , V. P. Roychowdhury

We characterize the tail behavior of the distribution of the PageRank of a uniformly chosen vertex in a directed preferential attachment graph and show that it decays as a power law with an explicit exponent that is described in terms of…

概率论 · 数学 2021-10-20 Sayan Banerjee , Mariana Olvera-Cravioto

In the study of small and large networks it is customary to perform a simple random walk, where the random walker jumps from one node to one of its neighbours with uniform probability. The properties of this random walk are intimately…

数据分析、统计与概率 · 物理学 2013-09-18 Jean-Charles Delvenne , Anne-Sophie Libert

We study a modified version of a model previously proposed by Jackson and Wolinsky to account for communicating information and allocating goods in socioeconomic networks. In the model, the utility function of each node is given by a…

物理与社会 · 物理学 2009-11-13 Rui Carvalho , Giulia Iori

Many real networks are embedded in space, where in some of them the links length decay as a power law distribution with distance. Indications that such systems can be characterized by the concept of dimension were found recently. Here, we…

物理与社会 · 物理学 2015-06-05 Thorsten Emmerich , Armin Bunde , Shlomo Havlin , Li Guanlian , Li Daqing

We conduct a market experiment with human agents in order to explore the structure of transaction networks and to study the dynamics of wealth accumulation. The experiment is carried out on our platform for 97 days with 2,095 effective…

物理与社会 · 物理学 2010-01-22 Jie-Jun Tseng , Sai-Ping Li , Sun-Chong Wang

We study a simple model in which the growth of a network is determined by the location of one or more random walkers. Depending on walker speed, the model generates a spectrum of structures situated between well-known limiting cases. We…

物理与社会 · 物理学 2020-01-27 Robert J. H. Ross , Charlotte Strandkvist , Walter Fontana

Complex network theory has been used to study complex systems. However, many real-life systems involve multiple kinds of objects . They can't be described by simple graphs. In order to provide complete information of these systems, we…

物理与社会 · 物理学 2015-11-10 Jin-Li Guo , Xin-Yun Zhu

Looking into the growth of information in the web it is a very tedious process of getting the exact information the user is looking for. Many search engines generate user profile related data listing. This paper involves one such process…

信息检索 · 计算机科学 2011-09-12 L. K. Joshila Grace , V. Maheswari , Dhinaharan Nagamalai

We study the cross-correlations in stock price changes between the S&P 500 companies by introducing a weighted random graph, where all vertices (companies) are fully connected, and each edge is weighted. The weight assigned to each edge is…

统计力学 · 物理学 2009-11-07 Hyun-Joo Kim , Youngki Lee , In-mook Kim , Byungnam Kahng

We study the evolution of a random weighted network with complex nonlinear dynamics at each node, whose activity may cease as a result of interactions with other nodes. Starting from a knowledge of the micro-level behaviour at each node, we…

统计力学 · 物理学 2007-05-23 Sitabhra Sinha , Sudeshna Sinha

The study of human interactions is of central importance for understanding the behavior of individuals, groups and societies. Here, we observe the formation and evolution of networks by monitoring the addition of all new links and we…

物理与社会 · 物理学 2013-02-01 Lazaros K. Gallos , Diego Rybski , Fredrik Liljeros , Shlomo Havlin , Hernan A. Makse

We introduce weighted Markovian graphs, a random walk model that decouples the transition dynamics of a Markov chain from (random) edge weights representing the cost of traversing each edge. This decoupling allows us to study the…

最优化与控制 · 数学 2026-03-30 Thao Le , Robbert van der Burg , Bernd Heidergott , Ines Lindner , Alessandro Zocca

Wireless information-centric networks consider storage as one of the network primitives, and propose to cache data within the network in order to improve latency and reduce bandwidth consumption. We study the throughput capacity and delay…

网络与互联网体系结构 · 计算机科学 2015-05-01 Bita Azimdoost , Cedric Westphal , Hamid R. Sadjadpour

We extend the previously observed scaling equation connecting the internode distances and nodes' degrees onto the case of weighted networks. We show that the scaling takes a similar form in the empirical data obtained from networks…

物理与社会 · 物理学 2010-08-25 Julian Sienkiewicz , Janusz A. Holyst

A few key properties of the World-Wide-Web (WWW) has been established indicating the lack of any characteristic scales for the WWW, both in its topology and in its dynamics. Here, we report an experiment which quantifies another power law…

凝聚态物理 · 物理学 2009-10-31 Anders Johansen , Didier Sornette
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