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添加10字节 、 2020年10月10日 (六) 17:36
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Also, Michael Barr suggests "rational Erdős numbers", generalizing the idea that a person who has written p joint papers with Erdős should be assigned Erdős number 1/p. From the collaboration multigraph of the second kind (although he also has a way to deal with the case of the first kind)—with one edge between two mathematicians for each joint paper they have produced—form an electrical network with a one-ohm resistor on each edge. The total resistance between two nodes tells how "close" these two nodes are.
 
Also, Michael Barr suggests "rational Erdős numbers", generalizing the idea that a person who has written p joint papers with Erdős should be assigned Erdős number 1/p. From the collaboration multigraph of the second kind (although he also has a way to deal with the case of the first kind)—with one edge between two mathematicians for each joint paper they have produced—form an electrical network with a one-ohm resistor on each edge. The total resistance between two nodes tells how "close" these two nodes are.
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另外,迈克尔·巴尔Michael Barr曾建议使用“合理的埃尔德什数”,通俗的说就是与埃尔德共同撰写过p篇论文的人应被分配埃尔德什数的1/p。根据第二种的协作多重图(尽管他也有办法处理第一种情况),即在他们所合著的每篇联合论文中,两个数学家之间都有一条边,这个边缘上都有一个1欧姆电阻器的电网。两个节点之间的总电阻表明这两个节点有多“相近”。
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另外,迈克尔·巴尔Michael Barr曾建议使用“合理的埃尔德什数”,通俗的说就是与埃尔德共同撰写过''p''篇论文的人应被分配埃尔德什数的''1/p''。根据第二种的协作多重图(尽管他也有办法处理第一种情况),即在他们所合著的每篇联合论文中,两个数学家之间都有一条边,这个边缘上都有一个1欧姆电阻器的电网。两个节点之间的总电阻表明这两个节点有多“相近”。
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It has been argued that "for an individual researcher, a measure such as Erdős number captures the structural properties of [the] network whereas the h-index captures the citation impact of the publications," and that "One can be easily convinced that ranking in coauthorship networks should take into account both measures to generate a realistic and acceptable ranking."
 
It has been argued that "for an individual researcher, a measure such as Erdős number captures the structural properties of [the] network whereas the h-index captures the citation impact of the publications," and that "One can be easily convinced that ranking in coauthorship networks should take into account both measures to generate a realistic and acceptable ranking."
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有人争辩说:“对于独立研究人员而言,诸如埃尔德什数之类的量度可以捕获网络的结构特性,而h指数则可以捕获出版物的引文影响。” 并且“可以很容易地使人相信,共同作者网络中的排名应该同时考虑到两种方法,以产生现实且可接受的排名。”
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有人争辩说:“对于独立研究人员而言,诸如埃尔德什数之类的量度可以捕获网络的结构特性,而''h''指数则可以捕获出版物的引文影响。” 并且“可以很容易地使人相信,共同作者网络中的排名应该同时考虑到两种方法,以产生现实且可接受的排名。”
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2004年,数学家埃尔德什数为4的William Tozier在eBay上拍卖了合著者,因此为买家提供了埃尔德什数为5的机会。一位西班牙数学家发布了1031美元的中标价格,不过他并不打算付款,而只是提出了中标要求,以阻止他认为是嘲弄的行为。
 
2004年,数学家埃尔德什数为4的William Tozier在eBay上拍卖了合著者,因此为买家提供了埃尔德什数为5的机会。一位西班牙数学家发布了1031美元的中标价格,不过他并不打算付款,而只是提出了中标要求,以阻止他认为是嘲弄的行为。
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== Variations 演变 ==
 
== Variations 演变 ==
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