# Difference between revisions of "Hairball Graphs (data)"

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+ | == Dataset Description == | ||

A simple model generating random graphs with cohesive groups that are connected into a small world is the ''planted partition model'' (PPM). | A simple model generating random graphs with cohesive groups that are connected into a small world is the ''planted partition model'' (PPM). | ||

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We generated 50 graphs from a PPM with <math>500</math> vertices, <math>k=9</math>, <math>p_{in}=0.3</math>, and <math>p_{out}=0.01</math>. On top of that, we ran a random noise model with <math>p_{in}=p_{out}=0.1</math> to obfuscate the underlying groups. The resulting graphs are very dense, have a low diameter, and are real hairballs without any visible structure when laid out using force-directed methods. | We generated 50 graphs from a PPM with <math>500</math> vertices, <math>k=9</math>, <math>p_{in}=0.3</math>, and <math>p_{out}=0.01</math>. On top of that, we ran a random noise model with <math>p_{in}=p_{out}=0.1</math> to obfuscate the underlying groups. The resulting graphs are very dense, have a low diameter, and are real hairballs without any visible structure when laid out using force-directed methods. | ||

− | + | == Download == | |

+ | graphml format: | ||

[[Media:Hairball-Graphs-PPM500.zip|'''Hairball-Graphs-PPM500.zip''']] (11 MB) | [[Media:Hairball-Graphs-PPM500.zip|'''Hairball-Graphs-PPM500.zip''']] (11 MB) |

## Latest revision as of 12:52, 28 August 2014

## Dataset Description

A simple model generating random graphs with cohesive groups that are connected into a small world is the *planted partition model* (PPM).

Let be a partition of $V$ for a graph . Then is called a clustering of with class for a vertex . The probability of an edge is if and if .

We generated 50 graphs from a PPM with vertices, , , and . On top of that, we ran a random noise model with to obfuscate the underlying groups. The resulting graphs are very dense, have a low diameter, and are real hairballs without any visible structure when laid out using force-directed methods.

## Download

graphml format:
**Hairball-Graphs-PPM500.zip** (11 MB)