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相关论文: Exploring Complex Networks through Random Walks

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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

Paths are important structural elements in complex networks because they are finite (unlike walks), related to effective node coverage (minimum spanning trees), and can be understood as being dual to star connectivity. This article…

物理与社会 · 物理学 2007-12-05 Luciano da Fontoura Costa

The measurement called accessibility has been proposed as a means to quantify the efficiency of the communication between nodes in complex networks. This article reports important results regarding the properties of the accessibility,…

物理与社会 · 物理学 2013-05-30 Matheus P. Viana , João L. B. Batista , Luciano da F. Costa

We consider random walks that start and are absorbed on the leaves of random networks and study the length of such walks. For the networks we investigate, Erdos-Renyi random graphs and Barabasi-Albert scale free networks, these walks are…

无序系统与神经网络 · 物理学 2016-07-11 David Lancaster

Random walks by single-node agents have been systematically conducted on various types of complex networks in order to investigate how their topologies can affect the dynamics of the agents. However, by fitting any network node, these…

物理与社会 · 物理学 2025-05-16 Alexandre Benatti , Luciano da F. Costa

Efficient techniques to navigate networks with local information are fundamental to sample large-scale online social systems and to retrieve resources in peer-to-peer systems. Biased random walks, i.e. walks whose motion is biased on…

物理与社会 · 物理学 2016-06-29 Federico Battiston , Vincenzo Nicosia , Vito Latora

In many studies, it is common to use binary (i.e., unweighted) edges to examine networks of entities that are either adjacent or not adjacent. Researchers have generalized such binary networks to incorporate edge weights, which allow one to…

物理与社会 · 物理学 2024-02-29 Lucas Böttcher , Mason A. Porter

Robust and comprehensive characterization of the topological properties of complex networks requires the adoption of several respective measurements, among which the node degree has special importance. In the present work, we provide an…

物理与社会 · 物理学 2021-10-11 Alexandre Benatti , Luciano da F. Costa

We carry out a comparative study on the problem for a walker searching on several typical complex networks. The search efficiency is evaluated for various strategies. Having no knowledge of the global properties of the underlying networks…

无序系统与神经网络 · 物理学 2009-11-10 Shi-Jie Yang

This article describes an approach to modeling knowledge acquisition in terms of walks along complex networks. Each subset of knowledge is represented as a node, and relations between such knowledge are expressed as edges. Two types of…

物理与社会 · 物理学 2009-11-11 Luciano da Fontoura Costa

Complex networks have attracted increasing interest from various fields of science. It has been demonstrated that each complex network model presents specific topological structures which characterize its connectivity and dynamics. Complex…

数据分析、统计与概率 · 物理学 2012-02-20 Wesley Nunes Gonçalves , Alexandre Souto Martinez , Odemir Martinez Bruno

Dynamic systems characterized by diversified evolutions are not only more flexible, but also more resilient to attacks, failures and changing conditions. This article addresses the quantification of the diversity of non-linear transient…

物理与社会 · 物理学 2008-01-07 Luciano da Fontoura Costa

We present an analytical method for computing the mean cover time of a random walk process on arbitrary, complex networks. The cover time is defined as the time a random walker requires to visit every node in the network at least once. This…

统计力学 · 物理学 2018-08-02 Benjamin F. Maier , Dirk Brockmann

Random walks are ubiquitous in the sciences, and they are interesting from both theoretical and practical perspectives. They are one of the most fundamental types of stochastic processes; can be used to model numerous phenomena, including…

物理与社会 · 物理学 2020-04-13 Naoki Masuda , Mason A. Porter , Renaud Lambiotte

The possibility to identify the nature (e.g. random or scale free) of complex networks while performing respective random walks is investigated with respect to autonomous agents based on Bayesian decision theory and humans navigating…

计算物理 · 物理学 2007-05-23 Filipi Nascimento Silva , Luciano da Fontoura Costa

We consider information diffusion on Web-like networks and how random walks can simulate it. A well-studied problem in this domain is Partial Cover Time, i.e., the calculation of the expected number of steps a random walker needs to visit a…

Analysis of social networks with limited data access is challenging for third parties. To address this challenge, a number of studies have developed algorithms that estimate properties of social networks via a simple random walk. However,…

社会与信息网络 · 计算机科学 2023-05-23 Kazuki Nakajima , Kazuyuki Shudo

Our goal is to quickly find top $k$ lists of nodes with the largest degrees in large complex networks. If the adjacency list of the network is known (not often the case in complex networks), a deterministic algorithm to find a node with the…

数据结构与算法 · 计算机科学 2012-02-16 Konstantin Avrachenkov , Nelly Litvak , Marina Sokol , Don Towsley

Random walks are the simplest way to explore or search a graph, and have revealed a very useful tool to investigate and characterize the structural properties of complex networks from the real world, e.g. they have been used to identify the…

统计力学 · 物理学 2020-06-11 Timoteo Carletti , Malbor Asllani , Duccio Fanelli , Vito Latora

Random walks have been proposed as a simple method of efficiently searching, or disseminating information throughout, communication and sensor networks. In nature, animals (such as ants) tend to follow correlated random walks, i.e., random…

分布式、并行与集群计算 · 计算机科学 2015-02-03 Graeme Smith , J. W. Sanders , Qin Li
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