# Empirical validation of the buckley-osthus model for the web host graph: degree and edge distributions

@article{Zhukovskiy2012EmpiricalVO, title={Empirical validation of the buckley-osthus model for the web host graph: degree and edge distributions}, author={Maxim Zhukovskiy and Dmitry V. Vinogradov and Yuri Pritykin and Liudmila Ostroumova and Evgeny A. Grechnikov and Gleb Gusev and Pavel Serdyukov and Andrei M. Raigorodskii}, journal={Proceedings of the 21st ACM international conference on Information and knowledge management}, year={2012} }

We consider the Buckley-Osthus implementation of preferential attachment and its ability to model the web host graph in two aspects. One is the degree distribution that we observe to follow the power law, as often being the case for real-world graphs. Another one is the two-dimensional edge distribution, the number of edges between vertices of given degrees. We fit a single "initial attractiveness" parameter a of the model, first with respect to the degree distribution of the web host graph…

## 12 Citations

The Distribution of Second Degrees in the Buckley–Osthus Random Graph Model

- MathematicsInternet Math.
- 2013

This article considers a well-known generalization of the Barabási and Albert preferential attachment model—the Buckley–Osthus model and proves that the second degrees also obey a power law.

Sampling and inference in complex networks

- Computer Science, Mathematics
- 2016

Algorithms based on random walks and diffusion for sampling, estimation and inference of the network functions, and for approximating the spectrum of graph matrices are designed and analyzed.

Distribution of small subgraphs in Buckley–Osthus random graphs

- Mathematics
- 2017

We study a random graph model similar to the Buckley– Osthus preferential attachment model and develop a technique for estimating the expectation of a wide class of random variables in this model. By…

Distribution and dependence of extremes in network sampling processes

- Computer Science, Mathematics2014 Tenth International Conference on Signal-Image Technology and Internet-Based Systems
- 2014

This work abstracts the dependence and the statistics of extremes into a single parameter that appears in extreme value theory called extremal index (EI), and proposes the use of EI as a parameter to compare different sampling procedures.

Assortativity in Generalized Preferential Attachment Models

- Computer ScienceWAW
- 2016

Assortativity of preferential attachment models is analyzed by analyzing the behavior of \(d_{nn}(d)\) which is the average degree of a neighbor of a vertex of degree d.

Models of Random Graphs and Their Applications to the Web-Graph Analysis

- Computer ScienceRuSSIR
- 2015

This course provides an overview of various models for random graphs and their applications to the Web graph. We start with the classical Erdős-Renyi model, then proceed with the most recent models…

From Impact to Importance: The Current State of the Wisdom-of-Crowds Justification of Link-Based Ranking Algorithms

- Computer Science
- 2018

It is argued that neither the influential preferential attachment models due to Barabási and Albert nor the recent model introduced by Masterton et al. allows for a satisfactory wisdom-of-crowds justification of PageRank, and it is suggested that future work should explore “dual models” of linking on the web, i.e., models that combine the two previous approaches.

Sampling and inference in complex networks

- Computer Science
- 2011

This thesis focuses on the use of sampling to infer non-trivial properties of the network itself – both structural and functional and introduces a sampling technique, based on concepts from expander graphs, to infer aspects of community structure in the larger network.

Social Networks Modelling: The Case Of Virtual Buddhist Communities

- Sociology
- 2018

Social media has become an environment for the emergence of new forms of religious activity. They are a very promising field for the sociological research of religious activity and identity.…

Small subgraphs in preferential attachment networks

- MathematicsOptim. Lett.
- 2017

An overview of old and new results on the global and average local clustering coefficients as well as on the distribution of small subgraphs in the Bollobás–Riordan and Buckley–Osthus models of web graphs.

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