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15
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Identify my $\{-1,1\}$-matrix

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#matrices #combinatorial-designs #hadamard-matrices
65
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Minimum for combinatorial sortingproblem

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#combinatorics #pigeonhole-principle #combinatorial-designs
1.6k
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For which $n\in\Bbb N$ can we divide $\{1,2,3,...,3n\}$ into $n$ subsets each with $3$ elements such that in each subset $\{x,y,z\}$ we have $x+y=3z$?

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#combinatorics #graph-theory #contest-math #constructive-mathematics #combinatorial-designs
148
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What is the "fairly easy" proof that the automorphism group of a Steiner system $S(t,k,n)$ is highly transitive?

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#group-theory #permutations #symmetry #automorphism-group #combinatorial-designs
440
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Split $\{1,2,...,3n\}$ into triples with $x+y=4z$

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#combinatorics #elementary-number-theory #combinatorial-designs
155
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Split $\{1,...,3n\}$ into triples with $x+y=5z$ - no solutions?

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#combinatorics #elementary-number-theory #combinatorial-designs
414
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Properties of submodular functions

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#optimization #matroids #combinatorial-designs
211
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How can I arrange a group of people at tables and switch them around so that no two ever meet twice?

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#combinatorics #permutations #combinatorial-designs
57
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"Unbalanced" combinatorial designs

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#combinatorics #combinatorial-designs
173
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Combinatorial design related to scheduling group activities (everyone tries every activity, no pair is together twice)

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#combinatorics #combinatorial-designs #latin-square
262
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What is the relationship between covering designs (La Jolla Covering Repository) and linear block codes?

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#combinatorics #information-theory #coding-theory #combinatorial-designs
804
Views

10 events, 10 teams

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#combinatorics #combinatorial-designs
94
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Number of combinations to introduce people within certain groups

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#combinatorics #graph-theory #permutations #combinations #combinatorial-designs
36
Views

"Orthogonal" Steiner Systems

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#combinatorial-designs
48
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Why does any non-trivial permutation of ${\rm Aut}(S(5,6,12))$ at least alter $8$ symbols?

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#combinatorics #group-theory #permutations #automorphism-group #combinatorial-designs

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