I threw together a little code tonight to calculate the Katz centrality of packages on Hackage. This is a measure that states that a package is important if an important package depends on it. The definition is recursive, as is the matrix computation that converges towards a fixpoint to calculate it.

Here are the top hundred Hackage packages as calculated by this method, along with their numeric measures of centrality, to which I’ve given the slightly catchier name “mojo” here.

This method has a few obvious flaws: it doesn’t count downloads, nor can it take into account packages that only contain executables. That said, the results still look pretty robust.

package | mojo |
---|---|

base | 10000 |

ghc-prim | 9178 |

array | 1354 |

bytestring | 1278 |

deepseq | 1197 |

containers | 994 |

transformers | 925 |

mtl | 840 |

text | 546 |

time | 460 |

filepath | 441 |

directory | 351 |

parsec | 299 |

old-locale | 267 |

template-haskell | 247 |

network | 213 |

process | 208 |

vector | 208 |

pretty | 187 |

random | 172 |

binary | 158 |

QuickCheck | 130 |

utf8-string | 128 |

stm | 119 |

unix | 116 |

haskell98 | 100 |

hashable | 96 |

attoparsec | 92 |

old-time | 88 |

primitive | 87 |

aeson | 72 |

unordered-containers | 70 |

syb | 69 |

data-default | 67 |

split | 64 |

transformers-base | 63 |

blaze-builder | 62 |

monad-control | 62 |

conduit | 62 |

semigroups | 59 |

cereal | 57 |

tagged | 57 |

bindings-DSL | 55 |

HUnit | 55 |

gtk | 54 |

Cabal | 54 |

lens | 50 |

OpenGL | 46 |

haskell-src-exts | 45 |

cmdargs | 45 |

HTTP | 44 |

http-types | 43 |

extensible-exceptions | 43 |

glib | 42 |

utility-ht | 41 |

data-default-class | 38 |

parallel | 35 |

resourcet | 34 |

semigroupoids | 34 |

xml | 34 |

comonad | 33 |

lifted-base | 33 |

cairo | 33 |

safe | 32 |

MissingH | 31 |

exceptions | 31 |

base-unicode-symbols | 31 |

ansi-terminal | 31 |

vector-space | 30 |

nats | 30 |

OpenGLRaw | 30 |

monads-tf | 28 |

wai | 28 |

hslogger | 28 |

regex-compat | 28 |

GLUT | 27 |

void | 27 |

blaze-html | 26 |

hxt | 25 |

dlist | 25 |

zlib | 25 |

hmatrix | 24 |

SDL | 24 |

case-insensitive | 24 |

scientific | 23 |

X11 | 23 |

tagsoup | 22 |

regex-posix | 22 |

HaXml | 22 |

system-filepath | 22 |

enumerator | 22 |

contravariant | 21 |

base64-bytestring | 21 |

http-conduit | 21 |

blaze-markup | 21 |

MonadRandom | 20 |

failure | 20 |

test-framework | 20 |

xhtml | 20 |

distributive | 19 |

Brian, it looks like your blog is somehow broken – the latest post about attoparsec is shown on the homepage but http://www.serpentine.com/blog/2014/05/31/attoparsec/ shows 404

Your share is the great knowledge I have gathered, you are an important person I admire, thank you

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Hey there! So, this method we’re using has a couple of flaws when we use it in Marietta – it doesn’t count downloads and can’t take into account packages that only contain executables. But, don’t worry, the results still look pretty solid!

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Amazing work. The classic attoparsec blog.

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That sounds like an interesting project for drywall! Katz centrality is a measure of centrality in a network that takes into account the total number of walks between a pair of actors.

The package looks amazing! Thanks for sharing it with Charlotte Drywall Contractors. I’ll definitely let my friends know about it!

More power!

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Brian, it looks like your blog is somehow broken

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Good post. See you guys on another blog! Retaining Nanaimo

Fascinating approach! “Mojo” certainly adds a catchy flair to centrality measures.

It’s fascinating to see how you’ve applied network analysis concepts to measure the centrality of packages on Hackage. Katz centrality indeed provides a valuable perspective on package importance within the Haskell ecosystem, particularly emphasizing the influence of dependencies. corporate events

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