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In this work we investigate the dynamics of random walk processes on scale-free networks in a short to moderate time scale. We perform extensive simulations for the calculation of the mean squared displacement, the network coverage and the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Lazaros K. Gallos

Sampling from combinatorial families can be difficult. However, complicated families can often be embedded within larger, simpler ones, for which easy sampling algorithms are known. We take advantage of such a relationship to describe a…

Data Structures and Algorithms · Computer Science 2013-09-02 James Y. Zhao

Multiplex networks allow us to study a variety of complex systems where nodes connect to each other in multiple ways, for example friend, family, and co-worker relations in social networks. Link prediction is the branch of network analysis…

Social and Information Networks · Computer Science 2022-11-23 Michele Coscia , Christian Borgelt , Michael Szell

An important problem arising in the study of complex networks, for instance in community detection and motif finding, is the sampling of graphs with fixed degree sequence. The equivalent problem of generating random 0,1 matrices with fixed…

Combinatorics · Mathematics 2018-07-27 Annabell Berger , Corrie Jacobien Carstens

Different network models have been suggested for the topology underlying complex interactions in natural systems. These models are aimed at replicating specific statistical features encountered in real-world networks. However, it is rarely…

Physics and Society · Physics 2012-06-11 Stefano Cardanobile , Volker Pernice , Moritz Deger , Stefan Rotter

Many real-world networks are prohibitively large for data retrieval, storage and analysis of all of its nodes and links. Understanding the structure and dynamics of these networks entails creating a smaller representative sample of the full…

Data Structures and Algorithms · Computer Science 2012-07-23 Harish Sethu , Xiaoyu Chu

Graph sampling is a technique to pick a subset of vertices and/ or edges from original graph. It has a wide spectrum of applications, e.g. survey hidden population in sociology [54], visualize social graph [29], scale down Internet AS graph…

Social and Information Networks · Computer Science 2013-08-28 Pili Hu , Wing Cheong Lau

Random walks can be used to search complex networks for a desired resource. To reduce search lengths, we propose a mechanism based on building random walks connecting together partial walks (PW) previously computed at each network node.…

Networking and Internet Architecture · Computer Science 2013-04-19 Víctor M. López Millán , Vicent Cholvi , Luis López , Antonio Fernández Anta

Graph sampling plays an important role in data mining for large networks. Specifically, larger networks often correspond to lower sampling rates. Under the situation, traditional traversal-based samplings for large networks usually have an…

Data Structures and Algorithms · Computer Science 2024-06-12 Bo Jiao

How should we gather information in a network, where each node's visibility is limited to its local neighborhood? This problem arises in numerous real-world applications, such as surveying and task routing in social networks, team formation…

Artificial Intelligence · Computer Science 2015-05-07 Adish Singla , Eric Horvitz , Pushmeet Kohli , Ryen White , Andreas Krause

We consider the problem of estimating the topology of multiple networks from nodal observations, where these networks are assumed to be drawn from the same (unknown) random graph model. We adopt a graphon as our random graph model, which is…

Machine Learning · Statistics 2022-02-14 Madeline Navarro , Santiago Segarra

The discovery of small world and scale free properties of many real world networks has revolutionized the way we study, analyze, model and process networks. An important way to analyze these complex networks is to visualize them using graph…

Social and Information Networks · Computer Science 2023-04-05 Faraz Zaidi

Social networks play a key role in studying various individual and social behaviors. To use social networks in a study, their structural properties must be measured. For offline social networks, the conventional procedure is…

Social and Information Networks · Computer Science 2018-12-17 Naghmeh Momeni , Michael G. Rabbat

Networks are ubiquitous structure that describes complex relationships between different entities in the real world. As a critical component of prediction task over nodes in networks, learning the feature representation of nodes has become…

Machine Learning · Computer Science 2018-09-10 Hansheng Xue , Jiajie Peng , Xuequn Shang

Multi-layered network exploration (MuLaNE) problem is an important problem abstracted from many applications. In MuLaNE, there are multiple network layers where each node has an importance weight and each layer is explored by a random walk.…

Machine Learning · Computer Science 2021-06-10 Xutong Liu , Jinhang Zuo , Xiaowei Chen , Wei Chen , John C. S. Lui

Sampling random graphs is essential in many applications, and often algorithms use Markov chain Monte Carlo methods to sample uniformly from the space of graphs. However, often there is a need to sample graphs with some property that we are…

Social and Information Networks · Computer Science 2018-10-29 Caitlin Gray , Lewis Mitchell , Matthew Roughan

Local search is a fundamental method in operations research and combinatorial optimisation. It has been widely applied to a variety of challenging problems, including multi-objective optimisation where multiple, often conflicting,…

Neural and Evolutionary Computing · Computer Science 2026-01-13 Zimin Liang , Miqing Li

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…

Physics and Society · Physics 2024-06-07 Alexandre Benatti , Luciano da F. Costa

Learning representations of nodes in a low dimensional space is a crucial task with many interesting applications in network analysis, including link prediction and node classification. Two popular approaches for this problem include matrix…

Social and Information Networks · Computer Science 2019-09-11 Abdulkadir Çelikkanat , Fragkiskos D. Malliaros

Inferencing with network data necessitates the mapping of its nodes into a vector space, where the relationships are preserved. However, with multi-layered networks, where multiple types of relationships exist for the same set of nodes, it…

Social and Information Networks · Computer Science 2019-03-05 Huan Song , Jayaraman J. Thiagarajan
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