#15431: Transversal Design TD(6,12)
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Reporter: | Owner:
ncohen | Status: needs_review
Type: | Milestone: sage-6.2
enhancement | Resolution:
Priority: major | Merged in:
Component: | Reviewers:
combinatorics | Work issues:
Keywords: | Commit:
Authors: | b3cabbe8b9d73d0797cfdfe3264c33c58ca4b4a3
Nathann Cohen | Stopgaps:
Report Upstream: N/A |
Branch: |
u/ncohen/15431 |
Dependencies: |
#15287 #15368 |
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Comment (by ncohen):
Yo !
> - Reading the definition, I do not understand where `lambda` comes from
(in both bibd and td)
As you wish. What about this ?
> - In `transversal_design` you do not specify whether the groups `V_i`
are disjoint or not. What is the convention? It should be said what is the
implementation in Sage (e.g. if I am using `is_transversal_design` I want
to know what I am testing).
Well, it is the convention to have them disjoint, plus I used `\sqcup`
instead of `\cup`, plus you can actually deduce that they are disjoint
from the definition : if two groups intersect on one element, then a set
which contain it cannot have cardinality k as it must intersect each group
at most once, and there are k groups.
I added a "disjoint" somewhere in the definition to make it clearer.
> (e.g. if I am using is_transversal_design I want to know what I am
testing).
Is there something unclear in the documentation of `is_transversal_design`
?
Nathann
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Ticket URL: <http://trac.sagemath.org/ticket/15431#comment:32>
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