Medina, Alberto
Matta, Ibrahim
Byers, John
Abstract
| Recent empirical studies [6] have shown that Internet topologies
exhibit power laws of the form y = x
for the following relationships:
(P1) outdegree of node (domain or router) versus rank;
(P2) number of nodes versus outdegree; (P3) number of node pairs
within a neighborhood versus neighborhood size (in hops); and
(P4) eigenvalues of the adjacency matrix versus rank. However,
causes for the appearance of such power laws have not been
convincingly
given. In this paper, we examine four factors in the formation
of Internet topologies. These factors are (F1) preferential
connectivity of a new node to existing nodes; (F2) incremental
growth of the network; (F3) distribution of nodes in space; and
(F4) locality of edge connections. In synthetically generated network
topologies, we study the relevance of each factor in causing
the aforementioned power laws as well as other properties, namely
diameter, average path length and clustering coefficient. Different
kinds of network topologies a...
|
Keywords
power law
topology
topology generator
network generator
Notes
| Compares some generators.
|
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Bibtex
@article{medina.matta.byers_origin00,
author = "Alberto Medina and Ibrahim Matta and John Byers",
title = "On the Origin of Power Laws in Internet Topologies",
journal = "ACM Computer Communication Review",
month = "Apr.",
year = "2000"
}