English  |  正體中文  |  简体中文  |  Items with full text/Total items : 66984/66984 (100%)
Visitors : 23115364      Online Users : 425
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
  • Adv. Search
    HomeLoginUploadHelpAboutAdminister Goto mobile version


    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/27952


    Title: Mutually independent hamiltonian cycles for the pancake graphs and the star graphs
    Authors: Lin,CK;Tan,JJM;Huang,HM;Hsu,DF;Hsu,LH
    Contributors: 數學研究所
    Keywords: VERTEX-SYMMETRIC GRAPHS;CUBIC CAYLEY-GRAPHS;INTERCONNECTION NETWORKS;FAULT-DIAMETER;PATHS;LACEABILITY;TREES
    Date: 2009
    Issue Date: 2010-06-29 19:38:45 (UTC+8)
    Publisher: 中央大學
    Abstract: A hamiltonian cycle C of a graph G is an ordered set < u(1), u(2,) ..., u(n(G)), u(1)> of vertices such that u(i) not equal u(j) for i not equal j and u(i) is adjacent to u(i+1) for every i is an element of {1, 2, ..., n(G) - 1} and u(n(G)) is adjacent to u(1), where n(G) is the order of G. The vertex u(1) is the starting vertex and u(i) is the ith vertex of C. Two hamiltonian cycles C-1 = < u(1), u(2), ..., u(n(G)), u(1)> and C-2 = < v(1), v(2), ..., v(n(G)), v(1)> of G are independent if u(1) = v(1) and u(i) not equal v(i) for every i is an element of {2, 3, ..., n(G)}. A set of hamiltonian cycles {C-1, C-2, ..., C-k} of G is mutually independent if its elements are pairwise independent. The mutually independent hamiltonicity IHC(G) of a graph G is the maximum integer k such that for any vertex u of G there exist k mutually independent hamiltonian cycles of G starting at u. In this paper, the mutually independent hamiltonicity is considered for two families of Cayley graphs, the n-dimensional pancake graphs P-n and the n-dimensional star graphs S-n. It is proven that IHC(P-3) = 1, IHC(P-n) = n - 1 if n >= 4, IHC(S-n) = n - 2 if n is an element of {3, 4} and IHC(S-n) = n - 1 if n >= 5. (C) 2009 Elsevier B.V. All rights reserved.
    Relation: DISCRETE MATHEMATICS
    Appears in Collections:[數學研究所] 期刊論文

    Files in This Item:

    File Description SizeFormat
    index.html0KbHTML639View/Open


    All items in NCUIR are protected by copyright, with all rights reserved.

    社群 sharing

    ::: Copyright National Central University. | 國立中央大學圖書館版權所有 | 收藏本站 | 設為首頁 | 最佳瀏覽畫面: 1024*768 | 建站日期:8-24-2009 :::
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback  - 隱私權政策聲明