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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 destinations, has been argued to…

Statistical Mechanics · Physics 2007-05-23 Luca Dall'Asta , Ignacio Alvarez-Hamelin , Alain Barrat , Alexei Vazquez , Alessandro Vespignani

Internet mapping projects generally consist in sampling the network from a limited set of sources by using traceroute probes. This methodology, akin to the merging of spanning trees from the different sources to a set of destinations, leads…

Networking and Internet Architecture · Computer Science 2011-11-09 Fabien Viger , Alain Barrat , Luca Dall'Asta , Cun-Hui Zhang , Eric D. Kolaczyk

Despite great effort spent measuring topological features of large networks like the Internet, it was recently argued that sampling based on taking paths through the network (e.g., traceroutes) introduces a fundamental bias in the observed…

Disordered Systems and Neural Networks · Physics 2009-09-29 Aaron Clauset , Cristopher Moore

The topology of the Internet has typically been measured by sampling traceroutes, which are roughly shortest paths from sources to destinations. The resulting measurements have been used to infer that the Internet's degree distribution is…

Disordered Systems and Neural Networks · Physics 2013-05-29 Aaron Clauset , Cristopher Moore

Traceroute sampling is an important technique in exploring the internet router graph and the autonomous system graph. Although it is one of the primary techniques used in calculating statistics about the internet, it can introduce bias that…

Physics and Society · Physics 2009-02-02 Abraham D. Flaxman , Juan Vera

A great deal of effort has been spent measuring topological features of the Internet. However, it was recently argued that sampling based on taking paths or traceroutes through the network from a small number of sources introduces a…

Disordered Systems and Neural Networks · Physics 2008-04-12 Aaron Clauset , Cristopher Moore

In this paper we present an analytic study of sampled networks in the case of some important shortest-path sampling models. We present analytic formulas for the probability of edge discovery in the case of an evolving and a static network…

Disordered Systems and Neural Networks · Physics 2013-05-29 Attila Fekete , Gábor Vattay

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

Traceroute measurements are one of our main instruments to shed light onto the structure and properties of today's complex networks such as the Internet. This paper studies the feasibility and infeasibility of inferring the network topology…

Networking and Internet Architecture · Computer Science 2011-06-21 Yvonne Anne Pignolet , Stefan Schmid , Gilles Tredan

We study the statistical properties of the sampled scale-free networks, deeply related to the proper identification of various real-world networks. We exploit three methods of sampling and investigate the topological properties such as…

Disordered Systems and Neural Networks · Physics 2009-11-24 Sang Hoon Lee , Pan-Jun Kim , Hawoong Jeong

Temporal networks have been increasingly used to model a diversity of systems that evolve in time; for example human contact structures over which dynamic processes such as epidemics take place. A fundamental aspect of real-life networks is…

Physics and Society · Physics 2017-11-08 Luis E C Rocha , Naoki Masuda , Petter Holme

Online social network services provide a platform for human social interactions. Nowadays, many kinds of online interactions generate large-scale social network data. Network analysis helps to mine knowledge and pattern from the…

Social and Information Networks · Computer Science 2021-02-19 Andry Alamsyah , Yahya Peranginangin , Intan Muchtadi-Alamsyah , Budi Rahardjo , Kuspriyanto

Understanding the structure of the Internet graph is a crucial step for building accurate network models and designing efficient algorithms for Internet applications. Yet, obtaining its graph structure is a surprisingly difficult task, as…

Disordered Systems and Neural Networks · Physics 2007-05-23 Dimitris Achlioptas , Aaron Clauset , David Kempe , Cristopher Moore

The understanding of the immense and intricate topological structure of the World Wide Web (WWW) is a major scientific and technological challenge. This has been tackled recently by characterizing the properties of its representative graphs…

Networking and Internet Architecture · Computer Science 2008-01-23 M. Angeles Serrano , Ana Maguitman , Marian Boguna , Santo Fortunato , Alessandro Vespignani

The objective of this paper is to study the characteristics (geometric and otherwise) of very large attribute based undirected networks. Real-world networks are often very large and fast evolving. Their analysis and understanding present a…

Applications · Statistics 2015-10-06 Koushiki Sarkar , Diganta Mukherjee

We study the statistical properties of the sampled networks by a random walker. We compare topological properties of the sampled networks such as degree distribution, degree-degree correlation, and clustering coefficient with those of the…

Physics and Society · Physics 2009-11-13 Sooyeon Yoon , Sungmin Lee , Soon-Hyung Yook , Yup Kim

Edge sampling is an important topic in network analysis. It provides a natural way to reduce network size while retaining desired features of the original network. Sampling methods that only use local information are common in practice as…

Statistics Theory · Mathematics 2020-08-12 Can M. Le

Dynamical processes taking place on real networks define on them evolving subnetworks whose topology is not necessarily the same of the underlying one. We investigate the problem of determining the emerging degree distribution, focusing on…

Physics and Society · Physics 2009-11-13 Luca Dall'Asta

In a social network individuals or nodes connect to other nodes by choosing one of the channels of communication at a time to re-establish the existing social links. Since available data sets are usually restricted to a limited number of…

Physics and Society · Physics 2019-05-24 Yohsuke Murase , Hang-Hyun Jo , János Török , János Kertész , Kimmo Kaski

We consider the problem of determining the proportion of edges that are discovered in an Erdos-Renyi graph when one constructs all shortest paths from a given source node to all other nodes. This problem is equivalent to the one of…

Statistical Mechanics · Physics 2009-11-13 Vincent D. Blondel , Jean-Loup Guillaume , Julien M. Hendrickx , Raphael M. Jungers
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