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Results tagged with combinatorial-designs
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user 3621
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.
7
votes
2
answers
306
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Self-complementary block designs
For what $n$ does there exist a self-complementary
$(2n,4n-2,2n-1,n,n-1)$ balanced incomplete block design?
(All I know is that a self-complementary design with these parameters does exist for all $ …
- 19.7k
8
votes
0
answers
210
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More about self-complementary block designs
For what odd integers $n \geq 3$ does there exist a self-complementary $(2n,8n−4,4n−2,n,2n−2)$ balanced incomplete block design?
By "self-complementary" I mean that the complement of each block is a …
- 19.7k
15
votes
1
answer
886
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Scrambling a “Connections” grid
Given a 4-by-4 array of distinct words, is it possible to scramble the array in four different ways in such a fashion that each possible word-pair appears adjacently in one of the five arrays (the ori …
- 19.7k