Embedding Two Edge-disjoint Hamiltonian Cycles into Parity Cubes

被引:4
|
作者
Wang, Yan [1 ]
Fan, Jianxi [1 ]
Liu, Wenjun [1 ]
Wang, Xi [1 ]
机构
[1] Soochow Univ, Sch Comp Sci & Technol, Suzhou 215006, Peoples R China
关键词
Edge-disjoint Hamiltonian cycles; Parity cubes; Embedding; Interconnection networks; TWISTED-CUBES; GRAPHS; MESHES;
D O I
10.4028/www.scientific.net/AMM.336-338.2248
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Edge-disjoint Hamiltonian cycles are helpful to implement efficient and fault tolerant algorithms that require a ring structure. The n-dimensional parity cube, PQ(n), is a variant of hypercube. The existence of two edge- disjoint Hamiltonian cycles in parity cube is unknown. In this paper, we prove that there exist two edge- disjoint Hamiltonian cycles in n-dimensional parity cube with n >= 4.
引用
收藏
页码:2248 / 2251
页数:4
相关论文
共 50 条
  • [2] Embedding Two Edge-Disjoint Hamiltonian Cycles and Two Equal Node-Disjoint Cycles into Twisted Cubes
    Hung, Ruo-Wei
    Chan, Shang-Ju
    Liao, Chien-Chih
    [J]. INTERNATIONAL MULTICONFERENCE OF ENGINEERS AND COMPUTER SCIENTISTS, IMECS 2012, VOL I, 2012, : 362 - 367
  • [3] Embedding Three Edge-Disjoint Hamiltonian Cycles into Locally Twisted Cubes
    Pai, Kung-jui
    [J]. COMPUTING AND COMBINATORICS (COCOON 2021), 2021, 13025 : 367 - 374
  • [4] On the Embedding of Edge-Disjoint Hamiltonian Cycles in Transposition Networks
    Hung, Ruo-Wei
    Chih, Hao-Yu
    Hou, Chien-Hui
    [J]. 2014 INTERNATIONAL CONFERENCE ON INFORMATION SCIENCE, ELECTRONICS AND ELECTRICAL ENGINEERING (ISEEE), VOLS 1-3, 2014, : 102 - 107
  • [5] Two Edge-disjoint Hamiltonian Paths in Crossed Cubes
    Ma, Deyi
    Liu, Hongmei
    [J]. 2008 INTERNATIONAL SYMPOSIUM ON INTELLIGENT INFORMATION TECHNOLOGY APPLICATION WORKSHOP: IITA 2008 WORKSHOPS, PROCEEDINGS, 2008, : 1021 - 1024
  • [6] Embedding mutually edge-disjoint cycles into locally twisted cubes
    Cheng, Dongqin
    [J]. THEORETICAL COMPUTER SCIENCE, 2022, 929 : 11 - 17
  • [7] Edge-disjoint Hamiltonian cycles in hypertournaments
    Petrovic, V
    Thomassen, C
    [J]. JOURNAL OF GRAPH THEORY, 2006, 51 (01) : 49 - 52
  • [8] EDGE-DISJOINT HAMILTONIAN CYCLES IN GRAPHS
    WAN, HH
    [J]. UTILITAS MATHEMATICA, 1993, 43 : 245 - 252
  • [9] EDGE-DISJOINT HAMILTONIAN CYCLES IN GRAPHS
    LI, MC
    LIU, ZH
    [J]. CHINESE SCIENCE BULLETIN, 1991, 36 (12): : 1055 - 1056
  • [10] EDGE-DISJOINT HAMILTONIAN CYCLES IN GRAPHS
    李明楚
    刘振宏
    [J]. Science Bulletin, 1991, (12) : 1055 - 1056