在互連網路的結構設計上，可靠性、效率、安全性，與是否具有廣播性都是一些很重要的準則。近年來，由「寬直徑」---dw(G)可決定文件傳輸的效率及可靠性，將文件分部分傳輸後再集合至同一目的地。而「失效直徑」---Dw(G)則可確定資料傳輸的安全性；在傳輸過程中，即使某些點無法使用，資料仍舊可安全送達目地。而「羅賓數」---rw(G)與「強羅賓數」---r*w(G)則與資料的廣播有關，可將訊息經由網路一次送入多個目的地。經由討論這些參數，網路就可以有較好的性質。
在這篇學位論文中，我們將探討在連通性k的一般化折疊多元網路中的d(G)、dk(G)、Dk(G)、rk(G)、r*k(G)。

Reliability, efficiency, security, and broadcasting are important criteria in the design of interconnection networks. Recently, the w-wide diameter dw(G), the (w − 1)-fault diameter Dw(G), and the w-Rabin number rw(G) have been used to determine reliability and efficiency of interconnection networks. In this thesis, we study d(G), dk(G),Dk(G), rk(G), and r k(G) of generalized folded hypercube networks
having connectivity k.

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