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Prove that a graph with $100$ vertices with each edge having degree at most $4$ contains an empty graph of order $20$.

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#combinatorics #graph-theory #pigeonhole-principle #extremal-graph-theory
72
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Generating function approach on relatively easy problem

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#combinatorics #generating-functions
226
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A High School Combinatorics Question

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#combinatorics
332
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Add together numbers to make final number?

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#probability #combinatorics #number-theory #integer-partitions
2.7k
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How many three-letter words have at least two letters the same?

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#probability #combinatorics
200
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Generating function for sequence $a_i={n+im-1 \choose im}$

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#combinatorics #generating-functions #multisets
827
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Passwords permutations under specific rules

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#combinatorics #discrete-mathematics #permutations #combinations
70
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Basic PIE question appears to be wrong?

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#combinatorics #inclusion-exclusion
1.2k
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Combinatorics card counting question.

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#combinatorics
131
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Combinatorics question about binary string

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#combinatorics #bit-strings
40
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Edge Critical Graph is $C_{2n+1}, n\geq 2$

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#combinatorics #graph-theory
147
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Minors of a particular matrix?

Published on
#linear-algebra #combinatorics #number-theory #arithmetic-combinatorics #total-unimodularity
285
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Difference between methods for sampling without replacement

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#probability #combinatorics
114
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rank probability distribution in a round robin tournament for a fixed number of wins

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#probability #combinatorics #probability-distributions
996
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Using Snake Oil Method to Evaluate Sum

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#combinatorics #summation #generating-functions

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