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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…

Physics and Society · Physics 2007-12-05 Luciano da Fontoura Costa

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…

Statistical Mechanics · Physics 2020-06-11 Timoteo Carletti , Malbor Asllani , Duccio Fanelli , Vito Latora

Link prediction is one of the fundamental problems in network analysis. In many applications, notably in genetics, a partially observed network may not contain any negative examples of absent edges, which creates a difficulty for many…

Machine Learning · Statistics 2013-01-30 Yunpeng Zhao , Elizaveta Levina , Ji Zhu

We propose here two new recommendation methods, based on the appropriate normalization of already existing similarity measures, and on the convex combination of the recommendation scores derived from similarity between users and between…

Physics and Society · Physics 2014-12-12 A. Fiasconaro , M. Tumminello , V. Nicosia , V. Latora , R. N. Mantegna

How to enable efficient analytics over such data has been an increasingly important research problem. Given the sheer size of such social networks, many existing studies resort to sampling techniques that draw random nodes from an online…

Social and Information Networks · Computer Science 2015-05-12 Zhuojie Zhou , Nan Zhang , Gautam Das

Community structure exists in many real-world networks and has been reported being related to several functional properties of the networks. The conventional approach was partitioning nodes into communities, while some recent studies start…

Physics and Society · Physics 2011-08-15 Youngdo Kim , Hawoong Jeong

We consider the problem of link prediction in networks whose edge structure may vary (sufficiently slowly) over time. This problem, with applications in many important areas including social networks, has two main variants: the first, known…

Optimization and Control · Mathematics 2020-04-30 Daniele Alpago , Mattia Zorzi , Augusto Ferrante

Heterogeneous information network (HIN) embedding has gained increasing interests recently. However, the current way of random-walk based HIN embedding methods have paid few attention to the higher-order Markov chain nature of meta-path…

Machine Learning · Computer Science 2019-09-10 Yu He , Yangqiu Song , Jianxin Li , Cheng Ji , Jian Peng , Hao Peng

We study a model for a random walk of two classes of particles (A and B). Where both species are present in the same site, the motion of A's takes precedence over that of B's. The model was originally proposed and analyzed in Maragakis et…

Disordered Systems and Neural Networks · Physics 2015-01-28 Nikolaos Bastas , Michalis Maragakis , Panos Argyrakis , Daniel ben-Avraham , Shlomo Havlin , Shai Carmi

Most real-world networks are incompletely observed. Algorithms that can accurately predict which links are missing can dramatically speedup the collection of network data and improve the validity of network models. Many algorithms now exist…

Machine Learning · Statistics 2020-10-05 Amir Ghasemian , Homa Hosseinmardi , Aram Galstyan , Edoardo M. Airoldi , Aaron Clauset

Cycles are ubiquitous in various networks such as social, biological, and technological systems, where they play a significant functional and dynamical role. This paper proposes a node similarity measure based on minimal simple cycles,…

Physics and Society · Physics 2026-01-30 Bo Yang

The effects of social influence and homophily suggest that both network structure and node attribute information should inform the tasks of link prediction and node attribute inference. Recently, Yin et al. proposed Social-Attribute Network…

Social and Information Networks · Computer Science 2012-06-25 Neil Zhenqiang Gong , Ameet Talwalkar , Lester Mackey , Ling Huang , Eui Chul Richard Shin , Emil Stefanov , Elaine , Shi , Dawn Song

Link prediction in networks is typically accomplished by estimating or ranking the probabilities of edges for all pairs of nodes. In practice, especially for social networks, the data are often collected by egocentric sampling, which means…

Computation · Statistics 2018-03-14 Yun-Jhong Wu , Elizaveta Levina , Ji Zhu

We investigate searching efficiency of different kinds of random walk on complex networks which rely on local information and one-step memory. For the studied navigation strategies we obtained theoretical and numerical values for the graph…

Computers and Society · Computer Science 2024-11-15 Miroslav Mirchev , Lasko Basnarkov , Igor Mishkovski

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-03 Graeme Smith , J. W. Sanders , Qin Li

Link prediction is an important learning task for graph-structured data. In this paper, we propose a novel topological approach to characterize interactions between two nodes. Our topological feature, based on the extended persistent…

Machine Learning · Computer Science 2021-06-15 Zuoyu Yan , Tengfei Ma , Liangcai Gao , Zhi Tang , Chao Chen

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,…

Physics and Society · Physics 2013-05-30 Matheus P. Viana , João L. B. Batista , Luciano da F. Costa

The automated analysis of social networks has become an important problem due to the proliferation of social networks, such as LiveJournal, Flickr and Facebook. The scale of these social networks is massive and continues to grow rapidly. An…

Social and Information Networks · Computer Science 2012-06-12 Donghyuk Shin , Si Si , Inderjit S. Dhillon

Using edge weights is essential for modeling real-world systems where links possess relevant information, and preserving this information in low-dimensional representations is relevant for classification and prediction tasks. This paper…

Social and Information Networks · Computer Science 2025-08-12 Adilson Vital , Filipi N. Silva , Diego R. Amancio

Understanding the structures why links are formed is an important and prominent research topic. In this paper, we therefore consider the link prediction problem in face-to-face contact networks, and analyze the predictability of new and…

Social and Information Networks · Computer Science 2014-07-09 Christoph Scholz , Martin Atzmueller , Gerd Stumme