메뉴 건너뛰기




Volumn 179, Issue 6, 2009, Pages 851-857

Embedding Hamiltonian cycles in alternating group graphs under conditional fault model

Author keywords

Alternating group graph; Cayley graph; Conditional fault; Fault tolerance; Hamiltonian cycle

Indexed keywords

ERRORS; FAULT TOLERANCE; GRAPH THEORY; HAMILTONIANS; MEATS; QUALITY ASSURANCE;

EID: 58049087668     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2008.10.030     Document Type: Article
Times cited : (31)

References (36)
  • 1
    • 34250833453 scopus 로고
    • A group-theoretic model for symmetric interconnection networks
    • Akers S.B., and Krishnamurthy B. A group-theoretic model for symmetric interconnection networks. IEEE Transactions on Computers 38 4 (1989) 555-566
    • (1989) IEEE Transactions on Computers , vol.38 , Issue.4 , pp. 555-566
    • Akers, S.B.1    Krishnamurthy, B.2
  • 3
    • 10644245978 scopus 로고    scopus 로고
    • Fault-tolerant embedding of Hamiltonian circuits in k-ary n-cube
    • Ashir Y.A., and Stewart I.A. Fault-tolerant embedding of Hamiltonian circuits in k-ary n-cube. SIAM Journal on Discrete Mathematics 15 3 (2002) 317-328
    • (2002) SIAM Journal on Discrete Mathematics , vol.15 , Issue.3 , pp. 317-328
    • Ashir, Y.A.1    Stewart, I.A.2
  • 4
    • 0027702954 scopus 로고
    • A routing and broadcasting scheme on faulty star graphs
    • Bagherzadeh N., Nassif N., and Latifi S. A routing and broadcasting scheme on faulty star graphs. IEEE Transactions on Computers 42 11 (1993) 1398-1403
    • (1993) IEEE Transactions on Computers , vol.42 , Issue.11 , pp. 1398-1403
    • Bagherzadeh, N.1    Nassif, N.2    Latifi, S.3
  • 5
    • 0001109841 scopus 로고
    • On the existence of Hamiltonian circuits in faulty hypercubes
    • Chan M.Y., and Lee S.J. On the existence of Hamiltonian circuits in faulty hypercubes. SIAM Journal on Discrete Mathematics 4 4 (1991) 511-527
    • (1991) SIAM Journal on Discrete Mathematics , vol.4 , Issue.4 , pp. 511-527
    • Chan, M.Y.1    Lee, S.J.2
  • 6
    • 9744268988 scopus 로고    scopus 로고
    • Panconnectivity, fault-tolerant hamiltonicity and Hamiltonian-connectivity in alternating group graphs
    • Chang J.M., Yang J.S., Wang Y.L., and Cheng Y. Panconnectivity, fault-tolerant hamiltonicity and Hamiltonian-connectivity in alternating group graphs. Networks 44 4 (2004) 302-310
    • (2004) Networks , vol.44 , Issue.4 , pp. 302-310
    • Chang, J.M.1    Yang, J.S.2    Wang, Y.L.3    Cheng, Y.4
  • 7
    • 39649113381 scopus 로고    scopus 로고
    • Fault-tolerant cycle-embedding in alternating group graphs
    • Chang J.M., and Yang J.S. Fault-tolerant cycle-embedding in alternating group graphs. Applied Mathematics and Computation 197 (2008) 760-767
    • (2008) Applied Mathematics and Computation , vol.197 , pp. 760-767
    • Chang, J.M.1    Yang, J.S.2
  • 9
    • 0141764686 scopus 로고    scopus 로고
    • Augmented cubes
    • Choudum S.A., and Sunitha V. Augmented cubes. Networks 40 2 (2002) 71-84
    • (2002) Networks , vol.40 , Issue.2 , pp. 71-84
    • Choudum, S.A.1    Sunitha, V.2
  • 10
    • 33947326519 scopus 로고    scopus 로고
    • The conditional node connectivity of the k-ary n-cube
    • Day K. The conditional node connectivity of the k-ary n-cube. Journal of Interconnection Networks 5 1 (2004) 13-26
    • (2004) Journal of Interconnection Networks , vol.5 , Issue.1 , pp. 13-26
    • Day, K.1
  • 12
    • 0030363275 scopus 로고    scopus 로고
    • Efficient gossiping by packets in networks with random faults
    • Diks K., and Pele A. Efficient gossiping by packets in networks with random faults. SIAM Journal on Discrete Mathematics 9 1 (1996) 7-18
    • (1996) SIAM Journal on Discrete Mathematics , vol.9 , Issue.1 , pp. 7-18
    • Diks, K.1    Pele, A.2
  • 14
    • 0024765312 scopus 로고
    • Generalized measures of fault tolerance with application to N-cube networks
    • Esfahanian A.H. Generalized measures of fault tolerance with application to N-cube networks. IEEE Transactions on Computers 38 11 (1989) 1586-1591
    • (1989) IEEE Transactions on Computers , vol.38 , Issue.11 , pp. 1586-1591
    • Esfahanian, A.H.1
  • 15
    • 34447544022 scopus 로고    scopus 로고
    • Conditional fault-tolerant hamiltonicity of star graphs
    • Fu J.S. Conditional fault-tolerant hamiltonicity of star graphs. Parallel Computing 33 (2007) 488-496
    • (2007) Parallel Computing , vol.33 , pp. 488-496
    • Fu, J.S.1
  • 17
    • 1842863967 scopus 로고    scopus 로고
    • Pancyclicity on Möbius cubes with maximal edge faults
    • Hsieh S.Y., and Chen C.H. Pancyclicity on Möbius cubes with maximal edge faults. Parallel Computing 30 (2004) 407-421
    • (2004) Parallel Computing , vol.30 , pp. 407-421
    • Hsieh, S.Y.1    Chen, C.H.2
  • 18
    • 0034921974 scopus 로고    scopus 로고
    • Longest fault-free paths in star graphs with vertex faults
    • Hsieh S.Y., Chen G.H., and Ho C.W. Longest fault-free paths in star graphs with vertex faults. Theoretical Computer Science 262 1-2 (2001) 215-227
    • (2001) Theoretical Computer Science , vol.262 , Issue.1-2 , pp. 215-227
    • Hsieh, S.Y.1    Chen, G.H.2    Ho, C.W.3
  • 20
    • 0742268825 scopus 로고    scopus 로고
    • Fault hamiltonicity and fault Hamiltonian connectivity of arrangement graphs
    • Hsu H.C., Li T.K., Tan J.J.M., and Hsu L.H. Fault hamiltonicity and fault Hamiltonian connectivity of arrangement graphs. IEEE Transactions on Computers 53 1 (2004) 39-53
    • (2004) IEEE Transactions on Computers , vol.53 , Issue.1 , pp. 39-53
    • Hsu, H.C.1    Li, T.K.2    Tan, J.J.M.3    Hsu, L.H.4
  • 21
    • 34648846050 scopus 로고    scopus 로고
    • Fault-free Hamiltonian cycles in crossed cubes with conditional link faults
    • Hung H.S., Fu J.S., and Chen G.H. Fault-free Hamiltonian cycles in crossed cubes with conditional link faults. Information Sciences 177 24 (2007) 5664-5674
    • (2007) Information Sciences , vol.177 , Issue.24 , pp. 5664-5674
    • Hung, H.S.1    Fu, J.S.2    Chen, G.H.3
  • 22
    • 84954515651 scopus 로고
    • A new class of interconnection networks based on the alternating group
    • Jwo J.S., Lakshmivarahan S., and Dhall S.K. A new class of interconnection networks based on the alternating group. Networks 23 (1993) 315-326
    • (1993) Networks , vol.23 , pp. 315-326
    • Jwo, J.S.1    Lakshmivarahan, S.2    Dhall, S.K.3
  • 23
    • 0027149155 scopus 로고
    • Combinatorial analysis of the fault-diameter of the n-cube
    • Latifi S. Combinatorial analysis of the fault-diameter of the n-cube. IEEE Transactions on Computers 42 1 (1993) 27-33
    • (1993) IEEE Transactions on Computers , vol.42 , Issue.1 , pp. 27-33
    • Latifi, S.1
  • 24
    • 0028377873 scopus 로고
    • Conditional connectivity measures for large multiprocessor systems
    • Latifi S., Hegde M., and Naraghi-Pour M. Conditional connectivity measures for large multiprocessor systems. IEEE Transactions on Computers 43 2 (1994) 218-222
    • (1994) IEEE Transactions on Computers , vol.43 , Issue.2 , pp. 218-222
    • Latifi, S.1    Hegde, M.2    Naraghi-Pour, M.3
  • 25
    • 35748982131 scopus 로고    scopus 로고
    • Robustness of star graph network under link failure
    • Latifi S., Saberinia E., and Wu X. Robustness of star graph network under link failure. Information Sciences 178 3 (2008) 802-806
    • (2008) Information Sciences , vol.178 , Issue.3 , pp. 802-806
    • Latifi, S.1    Saberinia, E.2    Wu, X.3
  • 28
    • 4243117337 scopus 로고    scopus 로고
    • Hyper Hamiltonian laceability on the edge fault star graph
    • Li T.K., Tan J.J.M., and Hsu L.H. Hyper Hamiltonian laceability on the edge fault star graph. Information Sciences 165 (2004) 59-71
    • (2004) Information Sciences , vol.165 , pp. 59-71
    • Li, T.K.1    Tan, J.J.M.2    Hsu, L.H.3
  • 29
    • 85027448127 scopus 로고
    • Issues in the study of graph embedding
    • Graph Theoretic Concepts in Computer Science, Springer-Verlag, Berlin, Heidelberg, Germany
    • Rosenberg A.L. Issues in the study of graph embedding. Graph Theoretic Concepts in Computer Science. Lecture Notes in Computer Science vol. 100 (1981), Springer-Verlag, Berlin, Heidelberg, Germany
    • (1981) Lecture Notes in Computer Science , vol.100
    • Rosenberg, A.L.1
  • 31
    • 34548282701 scopus 로고    scopus 로고
    • Panpositionable hamiltonicity of the alternating group graphs
    • Teng Y.H., Tan J.J.M., and Hsu L.H. Panpositionable hamiltonicity of the alternating group graphs. Networks 50 (2007) 146-156
    • (2007) Networks , vol.50 , pp. 146-156
    • Teng, Y.H.1    Tan, J.J.M.2    Hsu, L.H.3
  • 32
    • 1642633000 scopus 로고    scopus 로고
    • Linear array and ring embeddings in conditional faulty hypercubes
    • Tsai C.H. Linear array and ring embeddings in conditional faulty hypercubes. Theoretical Computer Science 314 (2004) 431-443
    • (2004) Theoretical Computer Science , vol.314 , pp. 431-443
    • Tsai, C.H.1
  • 33
    • 34648846048 scopus 로고    scopus 로고
    • Conditional edge-fault-tolerant edge-bipancyclicity of hypercubes
    • Tsai C.H., and Lai Y.C. Conditional edge-fault-tolerant edge-bipancyclicity of hypercubes. Information Sciences 177 24 (2007) 5590-5597
    • (2007) Information Sciences , vol.177 , Issue.24 , pp. 5590-5597
    • Tsai, C.H.1    Lai, Y.C.2
  • 34
    • 59049098382 scopus 로고    scopus 로고
    • P.Y. Tsai, J.S. Fu, G.H. Chen, Fault-free longest paths in star networks with conditional link faults, Theoretical Computer Science, doi:10.1016/j.tcs.2008.11.012.
    • P.Y. Tsai, J.S. Fu, G.H. Chen, Fault-free longest paths in star networks with conditional link faults, Theoretical Computer Science, doi:10.1016/j.tcs.2008.11.012.
  • 35
    • 0000652549 scopus 로고    scopus 로고
    • Fault tolerance measures for m-ary n-dimensional hypercubes based on forbidden faulty sets
    • Wu J. Fault tolerance measures for m-ary n-dimensional hypercubes based on forbidden faulty sets. IEEE Transactions on Computers 47 8 (1998) 888-893
    • (1998) IEEE Transactions on Computers , vol.47 , Issue.8 , pp. 888-893
    • Wu, J.1
  • 36
    • 58049103738 scopus 로고    scopus 로고
    • .
    • .


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.