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

Bibliographic Details
Main Author: Pąk Karol
Format: Article
Language:English
Published: Sciendo 2012-12-01
Series:Formalized Mathematics
Online Access:https://doi.org/10.2478/v10037-012-0028-7
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spelling 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
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