graph-sketch-fractality

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graph-sketch-fractality

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Sketch-Based Box-Covering Algorithm

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// repository documentation

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Box-Cover Algorithms
========================

# Building

```
./waf configure
./waf
```

# Running

```
./bin/box_cover -type=tsv -graph=/data/graph_edges.tsv \
 -method=sketch -alpha=1.0 -least_coverage=1.0 -sketch_k=128 -multipass=10000 -rad_min=1 -rad_max=30 \
 -random_seed=114514 
```

## Options
|Options          |                                                |Type   |Default|
|:----------------|:-----------------------------------------------|:-----:|:----:|
|-type            |Graph file type (auto, tsv, gen) |string | "auto"|
|-graph           |Input graph                                     |string | "-"   |
|-method          |Using method (see below)           |string |"sketch"|
|-alpha           |Index size limit to use MEMB (alpha * N * k)        |double |1.0    |
|-least_coverage  |Least coverage.                   |double |1.0|
|-sketch_k        |sketch k                                        |int32|128|
|-multipass       |Maximum number of multi-pass      |int32|1000000000|
|-rad_analytical  |Use analytical diameters?         | bool|false|
|-rad_min         |Minimum radius.                                  |int32 |  1|
|-rad_max         |Maximum radius.                                  |int32 |100000000|
|-random_seed     |Random seed.                                    |int64|922337203685477583|

## Available Methods

# Supported Formats

`bin/box_cover` works with TSV file and User-Generated graph.

## TSV files 
* By using the option `-type=tsv`, you can specify .tsv file as the graph file with the option `-graph=...`.
* In a .tsv file, each line should contain two integers describing an edge (see below).
* Vertices should be described by integers starting from zero.

### TSV file example
```
0 1
0 2
1 2
```

## User-Generated graph
By using the option `-type=gen`, you can generate and use famous network models.
```
./bin/box_cover -type=gen -graph="ba 1000 3"
```

### Barabási–Albert model
By using `-graph="ba v u"`, you can generate and use Barabási–Albert model with v nodes, which is generated from complete graph with u nodes.

For example, by using `-graph="ba 1000 3"`, a BA model graph, which has 1000 nodes and 2994 edges, will be genearated.

### (u, v)-flower
By using `-graph="flower N u v"`, you can generate and use (u, v)-flower which has at least N nodes.

For example, by using `-graph="flower 1000 1 2"`, (1, 2)-flower, which has 1095 nodes, will be genearated.

### Song-Havlin-Makse model
By using `-graph="shm N s t"`, you can generate and use Song-Havlin-Makse model which is generated from s-nodes star graph, added t*d new nodes to each node of degree d in each step, and finally has at least N nodes.

For example, by using `-graph="shm 1000 5 2"`, SHM model, which is generated from 5-nodes star graph and has 2501 nodes and 2500 edges, will be genearated.

# Unit Test
Execute `bin/test` to run tests.

# LICENSE

This software is released under the MIT License, see LICENSE.txt.

# References

* Takuya Akiba, Kenko Nakamura, Taro Takaguchi, "Fractality of Massive Graphs: Scalable Analysis with Sketch-Based Box-Covering Algorithm", ICDM'16 (to appear).

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