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題名 Routing Properties of Supercubes
作者 許志堅
Sheu, Jyh-Jian ; Tan, Jimmy J.M. ; Hsu, Lih-Hsing
貢獻者 傳播學院
關鍵詞 Interconnection networks; Hypercube; Supercube; Container; Wide diameter; Fault diameter
日期 2001.10
上傳時間 25-Jun-2014 17:13:12 (UTC+8)
摘要 Usually each vertex of the (s+1)-dimensional hypercube is labeled with a unique integer k with 0⩽k⩽2s+1−1. The supercube SN of N nodes with 2s<N⩽2s+1 is constructed by merging nodes u and u−2s, with N⩽u⩽2s+1−1, in the (s+1)-dimensional hypercube into a single node labeled as u−2s and leaving other nodes in the (s+1)-dimensional hypercube unchanged. In this paper, we give the exact distance between any two nodes of supercube and present a new shortest path routing algorithm on SN. Then we show how to construct κ(SN) disjoint paths between any two nodes of the supercube, where κ(SN) is the connectivity of SN. Finally, we compute the wide diameter and the fault diameter of SN. We show that both the wide diameter and the fault diameter are equal to s+2 if N∈{2s+1−2i+1∣0⩽i⩽s−1} and s+1 otherwise.
關聯 Information Sciences, 131(1-4), 107-128
資料類型 article
dc.contributor 傳播學院en_US
dc.creator (作者) 許志堅zh_TW
dc.creator (作者) Sheu, Jyh-Jian ; Tan, Jimmy J.M. ; Hsu, Lih-Hsingen_US
dc.date (日期) 2001.10en_US
dc.date.accessioned 25-Jun-2014 17:13:12 (UTC+8)-
dc.date.available 25-Jun-2014 17:13:12 (UTC+8)-
dc.date.issued (上傳時間) 25-Jun-2014 17:13:12 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/66929-
dc.description.abstract (摘要) Usually each vertex of the (s+1)-dimensional hypercube is labeled with a unique integer k with 0⩽k⩽2s+1−1. The supercube SN of N nodes with 2s<N⩽2s+1 is constructed by merging nodes u and u−2s, with N⩽u⩽2s+1−1, in the (s+1)-dimensional hypercube into a single node labeled as u−2s and leaving other nodes in the (s+1)-dimensional hypercube unchanged. In this paper, we give the exact distance between any two nodes of supercube and present a new shortest path routing algorithm on SN. Then we show how to construct κ(SN) disjoint paths between any two nodes of the supercube, where κ(SN) is the connectivity of SN. Finally, we compute the wide diameter and the fault diameter of SN. We show that both the wide diameter and the fault diameter are equal to s+2 if N∈{2s+1−2i+1∣0⩽i⩽s−1} and s+1 otherwise.en_US
dc.format.extent 347373 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) Information Sciences, 131(1-4), 107-128en_US
dc.subject (關鍵詞) Interconnection networks; Hypercube; Supercube; Container; Wide diameter; Fault diameteren_US
dc.title (題名) Routing Properties of Supercubesen_US
dc.type (資料類型) articleen