Question

What does the pigeonhole principle have to do with graph theory?

score 231 · Answer 1 · 2021-11-24 23:35:19

231

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What does the pigeonhole principle have to do with graph theory?

Published on 24 Nov 2021 - 23:35

score 44 · Answer 2 · 2021-11-25 00:12:56

44

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Finding a pair of divisors in a set of $n+1$ integers

Published on 25 Nov 2021 - 0:12

score 551 · Answer 3 · 2021-12-04 01:16:09

Show that in any set of 9 positive integers, some two of them share all of their prime factors that are less than or equal to 5

score 325 · Answer 4 · 2021-12-04 06:59:35

325

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Showing there is a node in the graph with one and only one edge

Published on 04 Dec 2021 - 6:59

score 109 · Answer 5 · 2021-12-04 10:39:23

109

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Show that if four distinct integers are chosen between $1$ and $60$ inclusive, some two of them must differ by at most $19$

Published on 04 Dec 2021 - 10:39

score 38 · Answer 6 · 2021-12-05 16:55:28

38

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Graph Theory Pigeonhole Principle Question

Published on 05 Dec 2021 - 16:55

score 135 · Answer 7 · 2026-03-31 07:56:50

135

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Combi Problem - Proving Existence of a row

Published on 31 Mar 2026 - 7:56

score 2.7k · Answer 8 · 2021-12-06 01:51:12

2.7k

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Pigeonhole Principle: Among any seven integers, there must be two whose sum or difference is divisible by $10$

Published on 06 Dec 2021 - 1:51

score 235 · Answer 9 · 2021-12-06 14:29:38

235

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Uniqueness of $y$ in $xy \equiv 1 \pmod{p}\,$?

Published on 06 Dec 2021 - 14:29

score 155 · Answer 10 · 2021-12-08 04:33:14

155

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Showing there is a node in the graph with only one edge

Published on 08 Dec 2021 - 4:33

score 52 · Answer 11 · 2021-12-09 11:20:44

52

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Points on a $m\cdot n$ grid with no right triangles formed

Published on 09 Dec 2021 - 11:20

score 139 · Answer 12 · 2026-03-26 19:02:49

139

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To find the minimum number of $3$-toppings pizza so that it meets the demand of my friend!

Published on 26 Mar 2026 - 19:02

score 152 · Answer 13 · 2022-01-02 09:05:18

152

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Solving a problem using the Pigeonhole principle

Published on 02 Jan 2022 - 9:05

score 250 · Answer 14 · 2022-01-02 17:59:45

250

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Minimum number of holes such that each of 160 pigeons fly in different hole with a condition

Published on 02 Jan 2022 - 17:59

score 71 · Answer 15 · 2022-01-03 21:17:50

71

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Confirmation in one step involved in solving 'Show that any 2 of 3 integers chosen randomly satisfy $10|a^3b - ab^3$.

Published on 03 Jan 2022 - 21:17

List Question

What does the pigeonhole principle have to do with graph theory?

Finding a pair of divisors in a set of $n+1$ integers

Show that in any set of 9 positive integers, some two of them share all of their prime factors that are less than or equal to 5

Showing there is a node in the graph with one and only one edge

Show that if four distinct integers are chosen between $1$ and $60$ inclusive, some two of them must differ by at most $19$

Graph Theory Pigeonhole Principle Question

Combi Problem - Proving Existence of a row

Pigeonhole Principle: Among any seven integers, there must be two whose sum or difference is divisible by $10$

Uniqueness of $y$ in $xy \equiv 1 \pmod{p}\,$?

Showing there is a node in the graph with only one edge

Points on a $m\cdot n$ grid with no right triangles formed

To find the minimum number of $3$-toppings pizza so that it meets the demand of my friend!

Solving a problem using the Pigeonhole principle

Minimum number of holes such that each of 160 pigeons fly in different hole with a condition

Confirmation in one step involved in solving 'Show that any 2 of 3 integers chosen randomly satisfy $10|a^3b - ab^3$.

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