Is there a generalisation or algebraic formula for sudokus?

Just another BOF

I have recently discovered Sudokus and have become somewhat hooked. At the moment I am doing a teaching course which is keen on specialising and generalising and I was wondering whether it would be possible to make a generalisation for sudokus? Thanks for your help.
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I'm sure this zero fits somewhere.

Miles · Posted: Mon Jan 09, 2006 8:07 am Post subject:

What kind of generalization ??

Just another BOF · Posted: Tue Jan 10, 2006 1:47 am Post subject:

An equation.
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I'm sure this zero fits somewhere.

eclark · Posted: Wed Jan 11, 2006 12:31 am Post subject:

There's not a formula though the problem statement is an Exact Cover problem.

gtb · Posted: Sat Jan 14, 2006 6:03 pm Post subject:

I made a paper with a syntax based on the set theory which i then used to display all solving criteria which i know... maybe you want to check it out.

the solver where i implemented the methods will be online soon.
i'ld like to collect more techniques and add them to the paper.

please note that its a first draft, if you find mistakes please tell me.

Solving Sudoku (PDF)

greetz, gtb

dukuso · Posted: Mon Jan 16, 2006 8:26 am Post subject:

see here :
http://www.sudoku.com/forums/viewtopic.php?p=13485&highlight=3doku#13485

for some possible generalizations

foxglove · Posted: Sun Feb 05, 2006 6:04 pm Post subject:

For generalizations and equations look under:
alldifferent / Constraint Satisfaction Problems

foxglove · Posted: Sun Feb 05, 2006 6:08 pm Post subject:

For generalizations and equations look under:
alldifferent / Constraint Satisfaction Problems

pjaj · Posted: Tue Feb 07, 2006 10:58 am Post subject:

You might want to check out the following site

http://www.geometer.org/mathcircles/

Tom Davis has written a number of relevant papers including "The Mathematics of Sudoku" which is about half way down the page under the heading "Miscellaneous"