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The aim of this paper is to check feasibility of using the maximal-entropy random walk in algorithms finding communities in complex networks. A number of such algorithms exploit an ordinary or a biased random walk for this purpose. Their…

Physics and Society · Physics 2013-02-05 Jeremi K. Ochab , Zdzisław Burda

The evolution of many dynamical systems that describe relationships or interactions between objects can be effectively modeled by temporal networks, which are typically represented as a sequence of static network snapshots. In this paper,…

Social and Information Networks · Computer Science 2025-07-11 Filip Blašković , Tim O. F. Conrad , Stefan Klus , Nataša Djurdjevac Conrad

Random walks play an important role in probing the structure of complex networks. On traditional networks, they can be used to extract community structure, understand node centrality, perform link prediction, or capture the similarity…

Physics and Society · Physics 2024-06-13 Shazia'Ayn Babul , Yu Tian , Renaud Lambiotte

Breadth First Search (BFS) and other graph traversal techniques are widely used for measuring large unknown graphs, such as online social networks. It has been empirically observed that an incomplete BFS is biased toward high degree nodes.…

Discrete Mathematics · Computer Science 2011-02-23 Maciej Kurant , Athina Markopoulou , Patrick Thiran

In the era of big data, graph sampling is indispensable in many settings. Existing sampling methods are mostly designed for static graphs, and aim to preserve basic structural properties of the original graph (such as degree distribution,…

Social and Information Networks · Computer Science 2018-02-07 Sandipan Sikdar , Tanmoy Chakraborty , Soumya Sarkar , Niloy Ganguly , Animesh Mukherjee

As the World Wide Web is growing rapidly, it is getting increasingly challenging to gather representative information about it. Instead of crawling the web exhaustively one has to resort to other techniques like sampling to determine the…

Data Structures and Algorithms · Computer Science 2009-02-11 Eda Baykan , Monika Henzinger , Stefan F. Keller , Sebastian De Castelberg , Markus Kinzler

Many real-world networks exhibit correlations between the node degrees. For instance, in social networks nodes tend to connect to nodes of similar degree. Conversely, in biological and technological networks, high-degree nodes tend to be…

Discrete Mathematics · Computer Science 2015-09-30 Kevin E. Bassler , Charo I. Del Genio , Péter L. Erdős , István Miklós , Zoltán Toroczkai

We derive an exact closed-form analytical expression for the distribution of the cover time for a random walk over an arbitrary graph. In special case, we derive simplified exact expressions for the distributions of cover time for a…

Mathematical Physics · Physics 2009-10-20 Nikola Zlatanov , Ljupco Kocarev

Efficient stochastic simulation algorithms are of paramount importance to the study of spreading phenomena on complex networks. Using insights and analytical results from network science, we discuss how the structure of contacts affects the…

Physics and Society · Physics 2019-07-24 Guillaume St-Onge , Jean-Gabriel Young , Laurent Hébert-Dufresne , Louis J. Dubé

In an Online Social Network (OSN), users can create a unique public persona by crafting a user identity that may encompass profile details, content, and network-related information. As a result, a relevant task of interest is related to the…

Social and Information Networks · Computer Science 2024-11-27 Caterina Senette , Marco Siino , Maurizio Tesconi

Many known networks have structure of affiliation networks, where each of $n$ network's nodes (actors) selects an attribute set from a given collection of $m$ attributes and two nodes (actors) establish adjacency relation whenever they…

Combinatorics · Mathematics 2020-08-28 Mindaugas Bloznelis , Jerzy Jaworski , Katarzyna Rybarczyk

Online social networks (OSNs) are trendy and rapid information propagation medium on the web where millions of new connections either positive such as acquaintance or negative such as animosity, are being established every day around the…

Social and Information Networks · Computer Science 2018-05-03 Mudasir Ahmad Wani , Suraiya Jabin

Any network studied in the literature is inevitably just a sampled representative of its real-world analogue. Additionally, network sampling is lately often applied to large networks to allow for their faster and more efficient analysis.…

Social and Information Networks · Computer Science 2015-04-14 Neli Blagus , Lovro Šubelj , Gregor Weiss , Marko Bajec

Mapping the Internet generally consists in sampling the network from a limited set of sources by using traceroute-like probes. This methodology, akin to the merging of different spanning trees to a set of destination, has been argued to…

Networking and Internet Architecture · Computer Science 2011-11-09 Luca Dall'Asta , Ignacio Alvarez-Hamelin , Alain Barrat , Alexei Vazquez , Alessandro Vespignani

Network models have been widely used to study diverse systems and analyze their dynamic behaviors. Given the structural variability of networks, an intriguing question arises: Can we infer the type of system represented by a network based…

Social and Information Networks · Computer Science 2025-05-29 Gonzalo Travieso , Joao Merenda , Odemir M. Bruno

Predicting links in complex networks has been one of the essential topics within the realm of data mining and science discovery over the past few years. This problem remains an attempt to identify future, deleted, and redundant links using…

Social and Information Networks · Computer Science 2021-05-21 Kamal Berahmand , Elahe Nasiri , Saman Forouzandeh , Yuefeng Li

The diffusion phenomenon has a remarkable impact on Online Social Networks (OSNs). Gathering diffusion data over these large networks encounters many challenges which can be alleviated by adopting a suitable sampling approach. The…

Social and Information Networks · Computer Science 2014-05-29 Motahareh Eslami Mehdiabadi , Hamid R. Rabiee , Mostafa Salehi

Online Social Media (OSM) is a platform through which the users present themselves to the connected world by means of messaging, posting, reacting, tagging, and sharing on different contents with also other social activities. Nowadays, it…

Social and Information Networks · Computer Science 2020-08-07 Dhrubasish Sarkar

We study here the social network generated by the asynchronous visits, to a fixed set of sites, of mobile agents modelled as independent random walks on the plane lattice. The social network is constructed by assuming that a group of agents…

Physics and Society · Physics 2025-11-17 Paolo Cermelli , Silvia Marchese , Laura Sacerdote , Cristina Zucca

Online social networks (OSN) like Twitter or Facebook are popular and powerful since they allow reaching millions of users online. They are also a popular target for socialbot attacks. Without a deep understanding of the impact of such…

Social and Information Networks · Computer Science 2014-02-26 Silvia Mitter , Claudia Wagner , Markus Strohmaier
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