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How to prove that the following conclusion is true?

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#combinatorics #combinations #combinatorial-proofs #combinatorial-game-theory #extremal-combinatorics
148
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A generalization of Turan's theorem

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#combinatorics #graph-theory #extremal-combinatorics #extremal-graph-theory #hypergraphs
65
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What is the least number of subsets that you need to separate all the 2-element subsets of a given (finite) set.

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#combinatorics #elementary-set-theory #extremal-combinatorics
102
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Combinatorial problem about finding equidistant words

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#combinatorics #extremal-combinatorics #combinatorics-on-words
55
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Existence of Constants in Probabilistic Graph Theory

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#probability #combinatorics #graph-theory #random-variables #extremal-combinatorics
56
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Given an $n$-element family $\mathcal{S}$ of average size $r$, is $\sum |S_i \cap S_j|\geq n\binom{r}{2}$?

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#combinatorics #extremal-combinatorics
25
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Extremal Combinatorics Problem on words

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#sequences-and-series #extremal-combinatorics #combinatorics-on-words
102
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Question of difficult matrix problem, minimum number of times

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#linear-algebra #combinatorics #matrices #extremal-combinatorics
590
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How to obtain $n$ maximally different binary vectors with equal number of zeros and ones?

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#combinatorics #discrete-mathematics #vectors #coding-theory #extremal-combinatorics
83
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Integer solutions of the following question:

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#combinatorics #extremal-combinatorics
767
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Integer solutions to this problem

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#combinatorics #extremal-combinatorics
86
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Rank notion of a matrix

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#linear-algebra #combinatorics #finite-fields #extremal-combinatorics
182
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Cross intersecting families bound

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#combinatorics #extremal-combinatorics
107
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How should $k$ items be selected in $m$ trials so that the average size of the intersection of selected items is as small as possible?

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#algorithms #extremal-combinatorics
3k
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Pigeonhole Principle : $mn+1$ pigeons into $n$ holes.

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#combinatorics #pigeonhole-principle #extremal-combinatorics

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