메뉴 건너뛰기




Volumn 52, Issue 10, 2003, Pages 1271-1284

Edge disjoint hamiltonian cycles in k-ary n-cubes and hypercubes

Author keywords

Binary gray codes; Hamiltonian cycle; Hypercube; K ary n cubes; Lee distance; Lee distance gray codes

Indexed keywords

ALGORITHMS; BINARY CODES; ENCODING (SYMBOLS); HAMILTONIANS; OPTIMIZATION;

EID: 0142134996     PISSN: 00189340     EISSN: None     Source Type: Journal    
DOI: 10.1109/TC.2003.1234525     Document Type: Article
Times cited : (99)

References (20)
  • 1
    • 0002484472 scopus 로고
    • Decomposition into cycles I: Hamiltonian decompositions
    • G. Hahn, G. Sabidussi, and R.E. Woodrow, eds.
    • B. Alspach, J.-C. Bermond, and D. Sotteau, "Decomposition into Cycles I: Hamiltonian Decompositions," Cycles and Rays, G. Hahn, G. Sabidussi, and R.E. Woodrow, eds., pp. 9-18, 1990.
    • (1990) Cycles and Rays , pp. 9-18
    • Alspach, B.1    Bermond, J.-C.2    Sotteau, D.3
  • 2
    • 0142067620 scopus 로고    scopus 로고
    • Resource placement, data rearrangement, and Hamiltonian cycles in Torus networks
    • PhD thesis, Dept. of Computer Science, Oregon State Univ., Nov.
    • M. Bae, "Resource Placement, Data Rearrangement, and Hamiltonian cycles in Torus Networks," PhD thesis, Dept. of Computer Science, Oregon State Univ., Nov. 1996.
    • (1996)
    • Bae, M.1
  • 5
    • 0021411652 scopus 로고
    • Generalized hypercube and hyperbus structures for a computer network
    • Apr.
    • L.N. Bhuyan and D.P. Agrawal, "Generalized Hypercube and Hyperbus Structures for a Computer Network," IEEE Trans. Computers, vol. 33, no. 4, pp. 323-333, Apr. 1984.
    • (1984) IEEE Trans. Computers , vol.33 , Issue.4 , pp. 323-333
    • Bhuyan, L.N.1    Agrawal, D.P.2
  • 7
    • 0029357866 scopus 로고
    • Lee distance and topological properties of k-ary n-cubes
    • Aug.
    • B. Bose, B. Broeg, Y. Kwon, and Y. Ashir, "Lee Distance and Topological Properties of k-Ary n-Cubes," IEEE Trans. Computers, vol. 44, no. 8, pp. 1021-1030, Aug. 1995.
    • (1995) IEEE Trans. Computers , vol.44 , Issue.8 , pp. 1021-1030
    • Bose, B.1    Broeg, B.2    Kwon, Y.3    Ashir, Y.4
  • 9
    • 0001109841 scopus 로고
    • On the existence of Hamiltonian circuits in faulty hypercubes
    • Nov.
    • M.Y. Chan and S.J. Lee, "On the Existence of Hamiltonian Circuits in Faulty Hypercubes," SIAM J. Discrete Math., vol. 4, no. 4, pp. 511-527, Nov. 1991.
    • (1991) SIAM J. Discrete Math. , vol.4 , Issue.4 , pp. 511-527
    • Chan, M.Y.1    Lee, S.J.2
  • 10
    • 0018923823 scopus 로고
    • Tours of graphs, digraphs, and sequential machines
    • Jan.
    • P. Cull, "Tours of Graphs, Digraphs, and Sequential Machines," IEEE Trans. Computers, vol. 29, no. 1, pp. 50-54, Jan. 1980.
    • (1980) IEEE Trans. Computers , vol.29 , Issue.1 , pp. 50-54
    • Cull, P.1
  • 13
    • 0013186012 scopus 로고
    • Hamiltonian decompositions of products of cycles
    • M.F. Foregger, "Hamiltonian Decompositions of Products of Cycles," Discrete Math., vol. 24, pp. 251-260, 1978.
    • (1978) Discrete Math. , vol.24 , pp. 251-260
    • Foregger, M.F.1
  • 14
    • 0024787193 scopus 로고
    • On Hamiltonian decompositions of Cayley graphs on cyclic groups
    • Y. Huang, "On Hamiltonian Decompositions of Cayley Graphs on Cyclic Groups," Annals New York Academy of Sciences, vol. 576, pp. 250-258, 1989.
    • (1989) Annals New York Academy of Sciences , vol.576 , pp. 250-258
    • Huang, Y.1
  • 17
    • 0003820861 scopus 로고
    • Massively parallel processor system CRAY T3D
    • technical report, Cray Research GmbH, Nov.
    • W. Oed, "Massively Parallel Processor System CRAY T3D," technical report, Cray Research GmbH, Nov. 1993.
    • (1993)
    • Oed, W.1
  • 18
    • 0042886868 scopus 로고
    • Submicron systems architecture project semi-annual technical report
    • Technical Report Caltec-CS-TR-88-18, California Inst. of Technology, Nov.
    • C.L. Seitz et al., "Submicron Systems Architecture Project Semi-Annual Technical Report," Technical Report Caltec-CS-TR-88-18, California Inst. of Technology, Nov. 1988.
    • (1988)
    • Seitz, C.L.1
  • 19
    • 0038485357 scopus 로고
    • Hamiltonian decomposition of Cartesian products of graphs
    • R. Stong, "Hamiltonian Decomposition of Cartesian Products of Graphs," Discrete Math., vol. 90, pp. 169-190, 1991.
    • (1991) Discrete Math. , vol.90 , pp. 169-190
    • Stong, R.1
  • 20
    • 0142099295 scopus 로고
    • Overview of the Tera parallel computer
    • Tera Computer Systems
    • Tera Computer Systems, "Overview of the Tera Parallel Computer," 1993.
    • (1993)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.