The Friendship Theorem
In this article we prove the friendship theorem according to the article [1], which states that if a group of people has the property that any pair of persons have exactly one common friend, then there is a universal friend, i.e. a person who is a friend of every other person in the group
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Sciendo
2012-12-01
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Series: | Formalized Mathematics |
Online Access: | https://doi.org/10.2478/v10037-012-0028-7 |
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doaj-d8d00fc51c9b4db2866ddc35c68c17992021-09-05T18:16:48ZengSciendoFormalized Mathematics1426-26301898-99342012-12-0120323523710.2478/v10037-012-0028-7The Friendship TheoremPąk Karol0Institute of Informatics, University of Białystok, PolandIn this article we prove the friendship theorem according to the article [1], which states that if a group of people has the property that any pair of persons have exactly one common friend, then there is a universal friend, i.e. a person who is a friend of every other person in the grouphttps://doi.org/10.2478/v10037-012-0028-7 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Pąk Karol |
spellingShingle |
Pąk Karol The Friendship Theorem Formalized Mathematics |
author_facet |
Pąk Karol |
author_sort |
Pąk Karol |
title |
The Friendship Theorem |
title_short |
The Friendship Theorem |
title_full |
The Friendship Theorem |
title_fullStr |
The Friendship Theorem |
title_full_unstemmed |
The Friendship Theorem |
title_sort |
friendship theorem |
publisher |
Sciendo |
series |
Formalized Mathematics |
issn |
1426-2630 1898-9934 |
publishDate |
2012-12-01 |
description |
In this article we prove the friendship theorem according to the article [1], which states that if a group of people has the property that any pair of persons have exactly one common friend, then there is a universal friend, i.e. a person who is a friend of every other person in the group |
url |
https://doi.org/10.2478/v10037-012-0028-7 |
work_keys_str_mv |
AT pakkarol thefriendshiptheorem AT pakkarol friendshiptheorem |
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1717786090601971712 |