# Set Covering Algorithm

Is there a Sage implementation of the Set Covering Algorithm?

Thanks in advance

1

I guess you speak about the "set cover problem", which is a well known NP-hard problem (Karp). Sage does not have this though it could be added as a method of `IncidenceStructure`

.

You can however code it yourself :

- look at the
`MixedIntegerProgramming`

examples and tutorial - note that sets are not hashable, so a MIP variable could not be indexed by sets. However, if your sets belong to a list, you just have to index them by their position in the list.

Asked: **
2017-09-08 18:02:27 -0500
**

Seen: **100 times**

Last updated: **Sep 09 '17**

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Could you provide a reference to the "Set Covering Algorithm" you mention?