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Reseach Article

Is Power Law the Universal Law for Large Real Graph: Interneth

by Pathik Sharma
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 83 - Number 6
Year of Publication: 2013
Authors: Pathik Sharma
10.5120/14449-2707

Pathik Sharma . Is Power Law the Universal Law for Large Real Graph: Interneth. International Journal of Computer Applications. 83, 6 ( December 2013), 1-6. DOI=10.5120/14449-2707

@article{ 10.5120/14449-2707,
author = { Pathik Sharma },
title = { Is Power Law the Universal Law for Large Real Graph: Interneth },
journal = { International Journal of Computer Applications },
issue_date = { December 2013 },
volume = { 83 },
number = { 6 },
month = { December },
year = { 2013 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume83/number6/14449-2707/ },
doi = { 10.5120/14449-2707 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:58:38.087587+05:30
%A Pathik Sharma
%T Is Power Law the Universal Law for Large Real Graph: Interneth
%J International Journal of Computer Applications
%@ 0975-8887
%V 83
%N 6
%P 1-6
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Power laws are observed in many large networks such as Internet, WWW, automobile networks, etc. First half of the paper captures some of the instance of internet over a period of time. Now after comparing topologies of Internet with power laws, it cannot be ignored by saying it a mere coincidence. So, real networks (Internet) thus follows power law. Determining the behavior of such a large network has always been curiosity. Owing to that, different parameters such as number of nodes and edges, average neighborhood size, etc. has been derived to better predict behavior. Second half of paper discuss about generating topologies nearly same as realistic graphs. Also the generated topology must adhere to power laws. Some factors are imposed on topologies to get finer results. To better predict the behavior of topologies some more parameters such as diameter, Incremental Growth and Preferential Connectivity are considered. At last some extension of proposed method is discussed along with its possible application.

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Index Terms

Computer Science
Information Sciences

Keywords

Power Laws Pareto distribution Zipf distribution Rank Eigenvalue Internet topology Incremental Growth Preferential Connectivity Data Mining.