메뉴 건너뛰기




Volumn 223, Issue 1-3, 2000, Pages 1-12

On Alspach's conjecture with two even cycle lengths

Author keywords

Cycle decompositions; Cycle systems; m cycle systems

Indexed keywords


EID: 0347016187     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(00)00051-0     Document Type: Article
Times cited : (19)

References (17)
  • 1
    • 0345750326 scopus 로고    scopus 로고
    • On Alspach's conjecture with two even cycle lengths (m, n), where (m, n) ∈ {(4, 10), (6, 8), (6, 10), (8, 10)}
    • University of Queensland
    • P. Adams, D.E. Bryant, A. Khodkar, On Alspach's conjecture with two even cycle lengths (m, n), where (m, n) ∈ {(4, 10), (6, 8), (6, 10), (8, 10)}, Research Report, Department of Mathematics, University of Queensland, 1998. (See http://www.maths.uq.edu. au/~ak/Report/report2.ps.)
    • (1998) Research Report, Department of Mathematics
    • Adams, P.1    Bryant, D.E.2    Khodkar, A.3
  • 3
    • 49049150248 scopus 로고
    • Research problems, problem 3
    • B. Alspach, Research problems, Problem 3, Discrete Math. 36 (1981) 333.
    • (1981) Discrete Math. , vol.36 , pp. 333
    • Alspach, B.1
  • 6
    • 0011518922 scopus 로고
    • Balanced cycle and circuit designs: Even cases
    • J.C. Bermond, C. Huang, D. Sotteau, Balanced cycle and circuit designs: even cases, Ars Combin. 5 (1978) 293-318.
    • (1978) Ars Combin. , vol.5 , pp. 293-318
    • Bermond, J.C.1    Huang, C.2    Sotteau, D.3
  • 8
    • 0040831268 scopus 로고    scopus 로고
    • Embeddings of m-cycle systems and incomplete m-cycle systems: M ≤ 14
    • D.E. Bryant, C.A. Rodger, E.R. Spicer, Embeddings of m-cycle systems and incomplete m-cycle systems: m ≤ 14, Discrete Math. 171 (1997) 55-75.
    • (1997) Discrete Math. , vol.171 , pp. 55-75
    • Bryant, D.E.1    Rodger, C.A.2    Spicer, E.R.3
  • 11
    • 0040765015 scopus 로고
    • Some cycle decompositions of complete graphs
    • B.W. Jackson, Some cycle decompositions of complete graphs, J. Combin. Inform. System Sci. 13 (1988) 20-32.
    • (1988) J. Combin. Inform. System Sci. , vol.13 , pp. 20-32
    • Jackson, B.W.1
  • 12
    • 0038282281 scopus 로고
    • On decompositions of the complete graph into 4-gons
    • A. Kotzig, On decompositions of the complete graph into 4-gons, Mat. Fyz. Casopis 15 (1965) 227-233.
    • (1965) Mat. Fyz. Casopis , vol.15 , pp. 227-233
    • Kotzig, A.1
  • 13
    • 0000928942 scopus 로고    scopus 로고
    • Decomposition into cycles II, cycle systems
    • J.H. Dinitz, D.R. Stinson (Eds.), Wiley, New York
    • C.C. Lindner, C.A. Rodger, Decomposition into cycles II, Cycle systems, in: J.H. Dinitz, D.R. Stinson (Eds.), Contemporary Design Theory: a Collection of Surveys, Wiley, New York, pp. 325-369.
    • Contemporary Design Theory: a Collection of Surveys , pp. 325-369
    • Lindner, C.C.1    Rodger, C.A.2
  • 14
    • 0040170980 scopus 로고
    • Problems on cycle systems of odd length
    • C.A. Rodger, Problems on cycle systems of odd length, Congr. Numer. 61 (1988) 5-22.
    • (1988) Congr. Numer. , vol.61 , pp. 5-22
    • Rodger, C.A.1
  • 15
    • 84874656486 scopus 로고    scopus 로고
    • Alspach's conjecture is true for n ≤ 10
    • McMaster University, to appear
    • A. Rosa, Alspach's conjecture is true for n ≤ 10, Mathemtical Reports, McMaster University, to appear.
    • Mathemtical Reports
    • Rosa, A.1
  • 16
    • 0242604954 scopus 로고    scopus 로고
    • Ph.D. Thesis, Simon Fraser University, July
    • n - I, Ph.D. Thesis, Simon Fraser University, July 1999.
    • (1999) n - I
    • Šajna, M.1
  • 17
    • 0002627703 scopus 로고
    • m,n) into cycles (circuits) of length 2k
    • m,n) into cycles (circuits) of length 2k, J. Combin. Theory, Ser. 630 (1981) 75-81.
    • (1981) J. Combin. Theory, Ser. , vol.630 , pp. 75-81
    • Sotteau, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.