P is for Practical PerlMonks

### Re^3: decomposing binary matrices

by BrowserUk (Patriarch)
 on Feb 16, 2007 at 15:55 UTC ( #600462=note: print w/replies, xml ) Need Help??

in reply to Re^2: decomposing binary matrices
in thread decomposing binary matrices

Hm. Sorry to have wasted your time. I'd picked up on this bit of the OP

... since A and E are restricted to only two values between them, they must consume those two values;

... and hung my hat on it, but that obviously doesn't apply in the same way to the two examples above.

Question: Would this example also decompose into the (same?) two groups as the above?

```my @grid = (
[ 0, 1, 0, 1, 0, 0, ],
[ 0, 0, 0, 1, 1, 0, ],
[ 0, 1, 0, 0, 1, 0, ],
[ 1, 0, 0, 0, 0, 1, ],
[ 1, 0, 1, 0, 0, 0, ],
[ 1, 0, 0, 0, 0, 1, ],
);
[download]```

Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
"Science is about questioning the status quo. Questioning authority".
In the absence of evidence, opinion is indistinguishable from prejudice.

Replies are listed 'Best First'.
Re^4: decomposing binary matrices
by hv (Prior) on Feb 16, 2007 at 16:06 UTC

Yes: labelling the columns A..F and the rows 1..6, we know variables {B, D, E} must consume values {1, 2, 3} between them, and likewise {A, C, F} must consume {4, 5, 6}. In this example, however, the latter can be further decomposed: C can only be 5, so {A, F] are left with {4, 6}.

Hugo

Log In?
 Username: Password:

What's my password?
Create A New User
Domain Nodelet?
Node Status?
node history
Node Type: note [id://600462]
help
Chatterbox?
and the web crawler heard nothing...

How do I use this? | Other CB clients
Other Users?
Others rifling through the Monastery: (4)
As of 2023-06-04 01:43 GMT
Sections?
Information?
Find Nodes?
Leftovers?
Voting Booth?
How often do you go to conferences?

Results (17 votes). Check out past polls.

Notices?