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Searching for combinatorial covers.

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A generalization of the permutation-specific algorithm Struct -- extended for other types of combinatorial objects.


Take a look at the demo/ folder in this repo to see examples on how to use CombCov with your own combinatorial object. On example finds a String Set cover for the set of string over the alphabet {a,b} that avoids the substring aa (meaning no string in the set contains aa as a substring).

$ python -m demo.string_set
[INFO] (CombCov) Enumerating all elements of size up to 7...
[INFO] (CombCov) ...DONE enumerating elements! (Running time: 0.00 sec)
[INFO] (CombCov) Total of 87 elements.
[INFO] (CombCov) Enumeration: [1, 2, 3, 5, 8, 13, 21, 34]
[INFO] (CombCov) Creating binary strings from rules...
[INFO] (CombCov) Bitstring to cover: 154742504910672534362390527 
[INFO] (StringSet) Generated 16 subrules
[INFO] (CombCov) ...DONE creating binary strings! (Running time: 0.00 sec)
[INFO] (CombCov) Total of 14 rules valid rules.
[INFO] (CombCov) There of 14 rules creating distinct binary strings
[INFO] (CombCov) Searching for a cover for ''*Av(aa) over ∑={a,b}...
[INFO] (CombCov) ...DONE searching for a cover! (Running time: 0.02 sec)
 - Rule #1: ''*Av(a,b) over ∑={a,b} with bitstring 1
 - Rule #2: 'a'*Av(a,b) over ∑={a,b} with bitstring 2
 - Rule #3: 'b'*Av(aa) over ∑={a,b} with bitstring 154742431132702343545997108
 - Rule #4: 'ab'*Av(aa) over ∑={a,b} with bitstring 73777970190816393416


Run unittests (with coverage for the demo module as well):

./ test --addopts --cov=demo

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