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Results tagged with combinatorial-designs
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user 1492
Design theory is the subfield of combinatorics concerning the existence and construction of highly symmetric arrangements. Finite projective planes, latin squares, and Steiner triple systems are examples of designs.
8
votes
Intersecting 4-sets
Here's 14 sets on 8 points:
{ 2, 5, 7, 8 },
{ 2, 3, 6, 7 },
{ 2, 3, 4, 5 },
{ 2, 4, 6, 8 },
{ 1, 2, 4, 7 },
{ 1, 2, 3, 8 },
{ 3, 5, 6, 8 },
{ 1, 2, 5, 6 },
{ 1, 3, 5, 7 },
{ 1, 4, 5, 8 },
{ 3, 4, 7, …
- 12.7k
7
votes
Accepted
Is the domination number of a combinatorial design determined by the design parameters?
Well, interestingly enough, all the 80 Steiner triple systems on 15 points have minimum dominating sets of size 10 - there is more tradeoff between the points/blocks than I first recognised.
But if w …
- 12.7k