Flexible Cycle Embedding in the Locally Twisted Cube with Nodes Positioned at Any Prescribed Distance

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题名:	Flexible Cycle Embedding in the Locally Twisted Cube with Nodes Positioned at Any Prescribed Distance
作者:	龔自良;Kung, Tzu-Liang;Kueng, Tz-Liang
贡献者:	資訊工程學系
关键词:	Locally twisted cube;Graph;Interconnection;Hamiltonian;Cycle embedding;Pancyclic
日期:	2013-09
上传时间:	2013-07-11 06:19:47 (UTC+0)
摘要:	A Hamiltonian graph G is panpositionably Hamiltonian if for any two distinct vertices x and y of G, it contains a Hamiltonian cycle C such that dC(x, y) = l for any integer l satisfying dG(x, y) ⩽ l ⩽ ⌈∣V(G)∣/2⌉, where dG(x, y) (respectively, dC(x, y)) denotes the distance between vertices x and y in G (respectively, on C), and ∣V(G)∣ is the total number of vertices in G. As the importance of Hamiltonian properties for data communication between units in parallel and distributed systems, the panpositionable Hamiltonicity involves more flexible cycle embedding for message transmission. This paper shows that for two arbitrary nodes x and y of the n-dimensional locally twisted cube LTQn, n ⩾ 4, and for any integer l ∈ {d} ∪ {d + 2, d + 3, d + 4, … , 2n−1}, where d=dLTQn(x,y), there exists a Hamiltonian cycle C of LTQn such that dC(x, y) = l.
關聯:	INFORMATION SCIENCES,242(1):92-102.
显示于类别:	[資訊工程學系] 期刊論文

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