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Interesting identity $\sum_{A\subseteq X\\B\subseteq X}|A\cap B|=n4^{n-1}$

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#combinatorics #discrete-mathematics #elementary-set-theory #inclusion-exclusion #probabilistic-method
140
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Why is Lovasz Local Lemma "local" and question about its versions

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#probability #probability-theory #probabilistic-method
425
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Probabilistic Method graph coloring

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#probability #coloring #probabilistic-method
508
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Unexpected yet accessible examples of the probabilistic method

Published on
#combinatorics #soft-question #probabilistic-method
96
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chromatic number of $G(n, p)$, when $p =const$.

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#probability #combinatorics #graph-theory #random-graphs #probabilistic-method
29
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Simple Question on independence for graph colouring

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#probability #probability-theory #uniform-distribution #probabilistic-method
136
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Arithmetic progression of ten terms is not monochromatic

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#combinatorics #arithmetic-progressions #probabilistic-method
66
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Parameter $d$ that makes the probability of the graph $G(n,\frac{d}{n})$ being $k$-colorable tends to $0$, as $n \to \infty$ , for $k \leq 2$.

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#coloring #random-graphs #extremal-combinatorics #probabilistic-method #extremal-graph-theory
119
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Where is the noise term in a generative model?

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#machine-learning #probabilistic-method
276
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Vertex Coloring with Bound on Number of Monochromatic Edges

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#probability #graph-theory #random-graphs #probabilistic-method
196
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Threshold Function on Path for Random Graph

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#graph-theory #random-graphs #probabilistic-method
257
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disjoint sum-free subsets

Published on
#combinatorics #number-theory #probabilistic-method
187
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Rotation in Probabilistic PCA

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#machine-learning #probabilistic-method
181
Views

Splitting set $S$ of size $n$ into two disjoint subsets

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#combinatorics #probability-theory #discrete-mathematics #elementary-set-theory #probabilistic-method
77
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Family of Pairs of Subsets using Probabilistic Method

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#expected-value #probabilistic-method

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