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[求助]
complete and acyclic是二元關(guān)系的什么性質(zhì)?
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看的論文中總是出現(xiàn)某個(gè)集合上的二元關(guān)系是complete and acyclic(如the Binary relation T on set B is complete and acyclic) complete和acyclic是關(guān)系的什么性質(zhì)?能不能給出個(gè)定義。我所知的二元關(guān)系的性質(zhì)主要是reflexive,symmetric,transitive等,沒看到complete和acyclic的性質(zhì)。google上不了,百度也查不出什么東西。 |


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Call a binary relation R on a set S complete if and only if [xRy or yRx] for all distinct x,y ∈ S. acyclic的關(guān)系有點(diǎn)復(fù)雜 Call a binary relation R on a set S cyclic if and only if there exists a finite sequence of distinct elements x1,x2,...,xk ∈ S such that k > 1 and xjRxj+1 for all j ∈ {1,2,...,k-1} and xkRx1. Call a binary relation R on a set S acyclic if and only if it is not cyclic. 參考文章的地址: http://alumnus.caltech.edu/~sepp ... ary%20Relations.htm |


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