Proof of Minimum Clue >= 17

Everything about Sudoku that doesn't fit in one of the other sections

Postby Red Ed » Sun Feb 12, 2006 12:40 pm

Smythe Dakota wrote:1. Do all bases for the same (solved) puzzle have the same number of clues?
No, they don't.

2. For which integers n (n=0 through n=81) do there exist at least one puzzle/basis where the basis has size n?
At the time of writing, the max known is n=32.
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Postby gsf » Sun Feb 12, 2006 4:28 pm

Smythe Dakota wrote:Define a set of clues as a "basis" if (1) it generates a unique solution, and (2) no proper subset of it generates a unique solution.

this is a definition for "minimal puzzle"
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Postby Smythe Dakota » Mon Feb 13, 2006 5:01 am

gsf wrote:.... this is a definition for "minimal puzzle"

OK. Rather than searching this entire forum for existing concepts (I just found this forum two days ago), I guess I am re-inventing the wheel here and there. "Basis" is in line with what I (and many others) know about vector spaces.

Bill Smythe
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Postby deam3r » Mon Feb 13, 2006 5:12 am

Code: Select all
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Whaaaat? oh, I suhpous so, it's right? Right? RiGhT? RIGHT???!!!???
Yah, That's right, for a second I thought
Code: Select all
..xx......
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......xx.
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