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Volumn 31, Issue 2, 1996, Pages 11-19

Edge exchanges in Hamiltonian decompositions of Kronecker-product graphs

Author keywords

Alternate four cycle; Edge exchange; Hamiltonian decomposition; Kronecker product

Indexed keywords

COMPUTATION THEORY; COMPUTER NETWORKS; FAULT TOLERANT COMPUTER SYSTEMS; SYSTEMS ANALYSIS;

EID: 0029732171     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/0898-1221(95)00189-1     Document Type: Article
Times cited : (6)

References (23)
  • 1
    • 0001556141 scopus 로고
    • Hamiltonian decomposition of lexicographic product
    • Z. Barayani and G.-R. -, Hamiltonian decomposition of lexicographic product, J. Combin. Theory, Ser. B 31. 253-261 (1981).
    • (1981) J. Combin. Theory, Ser. B , vol.31 , pp. 253-261
    • Barayani, Z.1
  • 2
    • 0002484472 scopus 로고
    • Decompositions into cycles I: Hamilton decompositions
    • (Edited by G. Hahn et al.), Kluwer Academic, The Netherlands
    • B. Alspach, J.-C. Bermond and D. Sotteau, Decompositions into cycles I: Hamilton decompositions, In Cycles and Rays, (Edited by G. Hahn et al.), pp. 9-18. Kluwer Academic, The Netherlands, (1990).
    • (1990) Cycles and Rays , pp. 9-18
    • Alspach, B.1    Bermond, J.-C.2    Sotteau, D.3
  • 4
    • 0037945002 scopus 로고
    • Decompositions of some product graphs into 1-factors and Hamiltonian cycles
    • M. Zhou. Decompositions of some product graphs into 1-factors and Hamiltonian cycles, Ars Combin. 28, 258-268 (1989)
    • (1989) Ars Combin. , vol.28 , pp. 258-268
    • Zhou, M.1
  • 5
    • 38249022232 scopus 로고
    • Hamiltonian decomposition of Caley graphs of degree four
    • J.-C. Bermond, O. Favaron and M. Maheo. Hamiltonian decomposition of Caley graphs of degree four, J. Combin. Theory. Ser. B 46, 142-153 (1989)
    • (1989) J. Combin. Theory. Ser. B , vol.46 , pp. 142-153
    • Bermond, J.-C.1    Favaron, O.2    Maheo, M.3
  • 6
    • 0000928942 scopus 로고
    • Decompositions into cycles II: Cycle systems
    • (Edited by J.H. Dinitz and D.R. Stinson), John Wiley & Sons
    • C.C. Lindner and C.A. Rodger. Decompositions into cycles II: Cycle systems, In Contemporary Design Theory. (Edited by J.H. Dinitz and D.R. Stinson), pp. 325-369, John Wiley & Sons, (1992).
    • (1992) Contemporary Design Theory , pp. 325-369
    • Lindner, C.C.1    Rodger, C.A.2
  • 7
    • 0009788311 scopus 로고
    • The categorical product of graphs
    • D.J. Miller, The categorical product of graphs, Canad. J. Math 20, 1511-1521 (1968).
    • (1968) Canad. J. Math , vol.20 , pp. 1511-1521
    • Miller, D.J.1
  • 8
    • 78651565980 scopus 로고
    • On characterizing tensor-composite graphs
    • M.F. Capobianco. On characterizing tensor-composite graphs, Annals NY Acad. Sci. 175, 80-84 (1970).
    • (1970) Annals NY Acad. Sci. , vol.175 , pp. 80-84
    • Capobianco, M.F.1
  • 9
    • 0037607059 scopus 로고
    • Hamiltonian decompositions of graphs, digraphs and hypergraphs
    • J.-C. Bermond. Hamiltonian decompositions of graphs, digraphs and hypergraphs, Annals Discrete Math 3, 21-28 (1978).
    • (1978) Annals Discrete Math , vol.3 , pp. 21-28
    • Bermond, J.-C.1
  • 10
    • 0003866706 scopus 로고
    • Kronecker products and local joins of graphs
    • M. Farzan and D.A. Waller. Kronecker products and local joins of graphs, Canad. J. Math 29, 255-269 (1977).
    • (1977) Canad. J. Math , vol.29 , pp. 255-269
    • Farzan, M.1    Waller, D.A.2
  • 11
    • 0011306249 scopus 로고
    • An introduction to the category of graphs
    • P. Hell, An introduction to the category of graphs, Annals NY Acad. Sci. 328, 120-136 (1979).
    • (1979) Annals NY Acad. Sci. , vol.328 , pp. 120-136
    • Hell, P.1
  • 12
    • 0016361435 scopus 로고
    • Product graphs and their applications
    • R.H. Lamprey and B.H. Barnes, Product graphs and their applications, Modeling and Simulation 5, 1119-1123 (1974); Proc. Fifth Annual Pittsburgh Conference, Instrument Society of America, Pittsburgh, PA, (1974).
    • (1974) Modeling and Simulation , vol.5 , pp. 1119-1123
    • Lamprey, R.H.1    Barnes, B.H.2
  • 14
    • 84943243391 scopus 로고
    • Representations of graphs by means of products and their complexity
    • J. Nesetril, Representations of graphs by means of products and their complexity, Lecture Notes in Computer Science 118, 94-102 (1981).
    • (1981) Lecture Notes in Computer Science , vol.118 , pp. 94-102
    • Nesetril, J.1
  • 15
    • 84966254658 scopus 로고
    • The Kronecker product of graphs
    • P.M. Weichsel. The Kronecker product of graphs. Proc. Am. Math. Soc. 13, 47-52 (1962).
    • (1962) Proc. Am. Math. Soc. , vol.13 , pp. 47-52
    • Weichsel, P.M.1
  • 16
    • 21144469179 scopus 로고
    • Hamiltonian decompositions of products of cycles
    • P.K. Jha, Hamiltonian decompositions of products of cycles, Indian J. Pure Appl. Math. 23, 723-729 (1992).
    • (1992) Indian J. Pure Appl. Math. , vol.23 , pp. 723-729
    • Jha, P.K.1
  • 17
    • 0013147924 scopus 로고
    • NP-completeness of graph decomposition problems
    • E. Cohen and M. Tarski, NP-completeness of graph decomposition problems, J. Complexity 7, 200-212 (1991).
    • (1991) J. Complexity , vol.7 , pp. 200-212
    • Cohen, E.1    Tarski, M.2
  • 20
    • 0042465204 scopus 로고
    • Edge exchanges on Hamiltonian cycles in interval graphs
    • A.P. Sprague, Edge exchanges on Hamiltonian cycles in interval graphs, Congr. Numer. 85, 111-122 (1991).
    • (1991) Congr. Numer. , vol.85 , pp. 111-122
    • Sprague, A.P.1
  • 21
    • 21144469366 scopus 로고
    • Decompositions of the Kronecker product of a cycle and a path into long cycles and long paths
    • P.K. Jha, Decompositions of the Kronecker product of a cycle and a path into long cycles and long paths, Indian J. Pure Appl. Math. 23, 585-602 (1992).
    • (1992) Indian J. Pure Appl. Math. , vol.23 , pp. 585-602
    • Jha, P.K.1
  • 22
    • 0006366406 scopus 로고
    • Centers of a tensor-composite graph
    • S.-R. Kim, Centers of a tensor-composite graph, Congr. Numer. 81, 193-204 (1991).
    • (1991) Congr. Numer. , vol.81 , pp. 193-204
    • Kim, S.-R.1
  • 23
    • 0041463538 scopus 로고
    • Graphs with non-empty intersection of longest paths
    • S. Klavžar and M. Petkovsek, Graphs with non-empty intersection of longest paths, Ars Combin. 29, 43-52 (1990).
    • (1990) Ars Combin. , vol.29 , pp. 43-52
    • Klavžar, S.1    Petkovsek, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.