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关于具体由什么构成两位作者之间的联系，众说纷纭。美国数学学会的“协作距离计算器”使用的是来自《数学评论》的数据，包括大多数数学期刊，但仅以有限的方式涵盖了其他主题，同时还包括一些非研究出版物。埃尔德什数项目官方网站Erdős Number Project表示：

关于具体由什么构成两位作者之间的联系，众说纷纭。美国数学学会的“协作距离计算器”使用的是来自《数学评论》的数据，包括大多数数学期刊，但仅以有限的方式涵盖了其他主题，同时还包括一些非研究出版物。埃尔德什数项目官方网站Erdős Number Project表示：

{{quote|... Our criterion for inclusion of an edge between vertices u and v is some research collaboration between them resulting in a published work. Any number of additional co-authors is permitted,...}}

 

 

... Our criterion for inclusion of an edge between vertices u and v is some research collaboration between them resulting in a published work. Any number of additional co-authors is permitted,...

...我们在顶点u和v之间共有的包含边标准是，它们之间的某些研究合作导致了发表的作品。允许任何数量的其他共同作者，...

...我们在顶点u和v之间共有的包含边标准是，它们之间的某些研究合作导致了发表的作品。允许任何数量的其他共同作者，...

but they do not include non-research publications such as elementary textbooks, joint editorships, obituaries, and the like.  The "Erdős number of the second kind" restricts assignment of Erdős numbers to papers with only two collaborators.

but they do not include non-research publications such as elementary textbooks, joint editorships, obituaries, and the like.  The "Erdős number of the second kind" restricts assignment of Erdős numbers to papers with only two collaborators.

The Erdős number was most likely first defined in print by Casper Goffman, an [[Mathematical analysis|analyst]] whose own Erdős number is 2. Goffman published his observations about Erdős' prolific collaboration in a 1969 article entitled "''And what is your Erdős number?''" See also some comments in an obituary by Michael Golomb.

The Erdős number was most likely first defined in print by Casper Goffman, an [[Mathematical analysis|analyst]] whose own Erdős number is 2. Goffman published his observations about Erdős' prolific collaboration in a 1969 article entitled "''And what is your Erdős number?''" See also some comments in an obituary by Michael Golomb.

The Erdős number was most likely first defined in print by Casper Goffman, an analyst whose own Erdős number is 2. See also some comments in an obituary by Michael Golomb.

The Erdős number was most likely first defined in print by Casper Goffman, an analyst whose own Erdős number is 2. Goffman published his observations about Erdős' prolific collaboration in a 1969 article entitled "''And what is your Erdős number?''" See also some comments in an obituary by Michael Golomb.

埃尔德什数很可能最早由卡斯珀·高夫曼Casper Goffman定义，他自己的埃尔德什数为2。高夫曼在1969年发表的一篇文章中表示了他对埃尔德什多产合作的看法，“您的埃尔德什数是多少？”另请参阅迈克尔·哥伦布Michael Golomb在讣告中的一些评论。

埃尔德什数很可能最早由卡斯珀·高夫曼Casper Goffman定义，他自己的埃尔德什数为2。高夫曼在1969年发表的一篇文章中表示了他对埃尔德什多产合作的看法，“您的埃尔德什数是多少？”另请参阅迈克尔·哥伦布Michael Golomb在讣告中的一些评论。