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    ASIA unversity > 資訊學院 > 資訊工程學系 > 期刊論文 >  Item 310904400/64352

    Please use this identifier to cite or link to this item: http://asiair.asia.edu.tw/ir/handle/310904400/64352

    Title: Flexible Cycle Embedding in the Locally Twisted Cube with Nodes Positioned at Any Prescribed Distance
    Authors: 龔自良;Kung, Tzu-Liang;Kueng, Tz-Liang
    Contributors: 資訊工程學系
    Date: 201309
    Issue Date: 2013-10-29 17:40:19 (UTC+8)
    Abstract: 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 d(C)(x,y) = l for any integer l satisfying d(G)(x,y) <= l <= inverted right perpendicular vertical bar V(G)vertical bar/2inverted left perpendicular, where d(G)(x,y) (respectively, d(C)(x,y)) denotes the distance between vertices x and y in G (respectively, on C), and vertical bar V(G)vertical bar 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 LTQ(n), n >= 4, and for any integer l is an element of {d} boolean OR {d + 2, d + 3, d + 4, ..., 2(n-1)}, where d = d(LTQn)(x,y), there exists a Hamiltonian cycle C of LTQ(n) such that d(C)(x,y) = l. (C) 2013 Elsevier Inc. All rights reserved.
    Relation: INFORMATION SCIENCES, 242(1):p92-102.
    Appears in Collections:[資訊工程學系] 期刊論文

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