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Number of $K_{10}$ always increases

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#combinatorics #graph-theory #probabilistic-method
445
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Probabilistic subset intersection

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#combinatorics #probabilistic-method
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A Question on a Proof for Erdos' Basic Sumfree Set Theorem (1965)

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#combinatorics #probabilistic-method
252
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Game removing tokens on number line

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#combinatorics #combinatorial-game-theory #probabilistic-method
993
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Basic examples of probabilistic method

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#recreational-mathematics #education #probabilistic-method
885
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Probabilistic method and graph theory

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#graph-theory #probabilistic-method #extremal-graph-theory
106
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In a graph $|V|=40, |E|=80$, prove there's an anti-clique of size $\geq 8$

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#combinatorics #graph-theory #probabilistic-method
319
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Say $E_1,...E_n\subset\{1,2,...,k\}= K$, each $|E_i|=4$ and each $j\in K$ appear in at most $3$ sets $E_i$.

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#combinatorics #discrete-optimization #extremal-combinatorics #probabilistic-method
76
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Probabilistic probability problem for a graph

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#graph-theory #probabilistic-method
166
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A class of 46 form groups each of which contains exactly three members so that any two groups have at most one member in common. Prove that...

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#combinatorics #discrete-mathematics #contest-math #extremal-combinatorics #probabilistic-method
299
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The Probabilistic Method Exercise 2.7.8

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#combinatorics #probabilistic-method
42
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Counting the number of k-term arithmetic progressions with fixed gap of 2m from [1,n]

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#ramsey-theory #probabilistic-method
132
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Let $n\ge 3$. $n$ Canadians and $n$ Thailanders are playing in a tournament.

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#combinatorics #graph-theory #probabilistic-method
149
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Existence of small subgraphs of a random graph, but conditioned to intersect a pair of vertices.

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#probability #probability-limit-theorems #random-graphs #probabilistic-method
164
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Question about Erdos 1965 proof of lower bound on size of sum-free subset

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#probability #probabilistic-method

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