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Results tagged with co.combinatorics
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user 163672
Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
15
votes
Examples of errors in computational combinatorics results
About 20 years ago, the number of groups of order 1024 was reported to be 49487365422 in "A millennium project: constructing small groups", and this number was repeated in other sources. Recently, Bur …
3
votes
1
answer
147
views
Mutually orthogonal Latin hypercubes
A $d$-dimensional Latin hypercube with side length $n$ is a $d$-dimensional array with $n$ symbols such that along any line parallel to an axis, each symbol appears exactly once. Let us call a $(n,d)$ …
- 675
8
votes
1
answer
203
views
Sets of residues with only a single intersection under translation
A combinatorial game I am studying has given rise to the following question. Consider the group $\Bbb Z/n\Bbb Z$. What is the largest $m$ such that there exist $k$ sets of $m$ residues such that the i …
- 675