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Volumn 11, Issue 2, 2003, Pages 124-143

Conditions ensuring starter induced 1-factorizations are not isomorphic

Author keywords

Mullin Nemeth starters; Starter 1 factorizations

Indexed keywords


EID: 0142169905     PISSN: 10638539     EISSN: 15206610     Source Type: Journal    
DOI: 10.1002/jcd.10023     Document Type: Article
Times cited : (2)

References (33)
  • 2
    • 84972511841 scopus 로고
    • Sequencings and starters
    • B. Anderson, Sequencings and Starters, Pacific J Math 64 (1976), 17-24.
    • (1976) Pacific J Math , vol.64 , pp. 17-24
    • Anderson, B.1
  • 4
    • 34250093092 scopus 로고
    • Design isomorphisms and group isomorphisms
    • N. Brand, Design Isomorphisms and Group Isomorphisms, Geometria Dedicata, 27 (1988), 281-294.
    • (1988) Geometria Dedicata , vol.27 , pp. 281-294
    • Brand, N.1
  • 6
    • 84890093362 scopus 로고
    • On the existence of normalized room squares
    • C. Chong and K. Chan, On the Existence of Normalized Room Squares, Nanta Math 7 (1974), 8-17.
    • (1974) Nanta Math , vol.7 , pp. 8-17
    • Chong, C.1    Chan, K.2
  • 7
    • 0040938889 scopus 로고
    • One-factorizations of the complete graph with a doubly transitive automorphism group
    • P. Cameron and G. Korchmaros, One-Factorizations of the Complete Graph With a Doubly Transitive Automorphism Group. Bull London Math Soc 25 (1993), 1-6.
    • (1993) Bull London Math Soc , vol.25 , pp. 1-6
    • Cameron, P.1    Korchmaros, G.2
  • 8
    • 27844456278 scopus 로고
    • The structure of symmetry groups of GK (2n, G)
    • D. Duncan and E. Ihrig, The Structure of Symmetry Groups of GK (2n, G), J Comb Designs 2 (1994), 341-349.
    • (1994) J Comb Designs , vol.2 , pp. 341-349
    • Duncan, D.1    Ihrig, E.2
  • 9
    • 0034347759 scopus 로고    scopus 로고
    • The structure of symmetry groups of almost perfect one factorizations
    • D. Duncan and E. Ihrig, The Structure of Symmetry Groups of Almost Perfect One Factorizations, Rocky Mt J Math 30 (2000), 520-553.
    • (2000) Rocky Mt J Math , vol.30 , pp. 520-553
    • Duncan, D.1    Ihrig, E.2
  • 10
    • 84986505870 scopus 로고
    • Some new perfect one-factorizations from starters in finite fields
    • J. Dinitz and D. Stinson, Some New Perfect One-Factorizations from Starters in Finite Fields, J Graph Theory 13 (1989), 405-415.
    • (1989) J Graph Theory , vol.13 , pp. 405-415
    • Dinitz, J.1    Stinson, D.2
  • 11
    • 49549143354 scopus 로고
    • Some new classes of strong starters
    • K. Gross, Some New Classes of Strong Starters, Discrete Math 12 (1975), 225-243.
    • (1975) Discrete Math , vol.12 , pp. 225-243
    • Gross, K.1
  • 12
    • 34250415260 scopus 로고
    • A multiplication theorem for strong starters
    • K. Gross, A Multiplication Theorem for Strong Starters, Aeq Math 11 (1974), 169-173.
    • (1974) Aeq Math , vol.11 , pp. 169-173
    • Gross, K.1
  • 13
    • 0346152539 scopus 로고
    • The existence of strong starters in cyclic groups
    • K. Gross and P. Leonard, The Existence of Strong Starters in Cyclic Groups, Utilitas Mathematica 7 (1975), 187-195.
    • (1975) Utilitas Mathematica , vol.7 , pp. 187-195
    • Gross, K.1    Leonard, P.2
  • 15
    • 27844558836 scopus 로고    scopus 로고
    • 2n
    • E. Ihrig and E. Petrie, Divisibility and Structure Constraints of the Automorphism Groups of Almost Perfect 1-factorizations of K2n0 J Comb Designs 6 (1998), 355-380. (Pubitemid 128702859)
    • (1998) Journal of Combinatorial Designs , vol.6 , Issue.5 , pp. 355-380
    • Ihrig, E.1    Petrie, E.2
  • 20
    • 38249023159 scopus 로고
    • Perfect one-factorizations of K1332 and K6860
    • M. Kobayashi and K. Zen'iti, Perfect One-Factorizations of K1332 and K6860, J Comb Theory A 51 (1989), 314-315.
    • (1989) J Comb Theory A , vol.51 , pp. 314-315
    • Kobayashi, M.1    Zen'iti, K.2
  • 22
    • 0039732694 scopus 로고
    • An existence theorem for room squares
    • R. Mullin and E. Nemeth, An Existence Theorem for Room Squares, Canad Math Bull 12 (1969), 493-497.
    • (1969) Canad Math Bull , vol.12 , pp. 493-497
    • Mullin, R.1    Nemeth, E.2
  • 23
    • 85032068914 scopus 로고
    • One factorizations of the complete graph-A survey
    • E. Mendelsohn and A. Rosa, One Factorizations of the Complete Graph-A Survey, J Graph Theory 9 (1985), 43-65.
    • (1985) J Graph Theory , vol.9 , pp. 43-65
    • Mendelsohn, E.1    Rosa, A.2
  • 24
    • 0039140236 scopus 로고
    • The existence of room squares
    • R. Mullin and W. Wallis, The Existence of Room Squares, Aequationes Math 13 (1975), 1-7.
    • (1975) Aequationes Math , vol.13 , pp. 1-7
    • Mullin, R.1    Wallis, W.2
  • 25
    • 30244550820 scopus 로고
    • Isomorphism of circulant combinatorial structures
    • K. Phelps, Isomorphism of Circulant Combinatorial Structures, Ars Combinatorica, 24A (1987), 195-210.
    • (1987) Ars Combinatorica , vol.24 A , pp. 195-210
    • Phelps, K.1
  • 26
    • 0039732693 scopus 로고
    • Isomorphism of strong starters in cyclic groups
    • K. T. Phelps and S. A. Vanstone, Isomorphism of Strong Starters in Cyclic Groups, J Comb Theory A, 57 (1991), 287-293.
    • (1991) J Comb Theory A , vol.57 , pp. 287-293
    • Phelps, K.T.1    Vanstone, S.A.2
  • 27
    • 0002636344 scopus 로고
    • Perfect one-factorizations of the complete graph-A survey
    • E. Seah, Perfect One-Factorizations of the Complete Graph-A Survey, Bulletin I. C. A. 1 (1991), 59-70.
    • (1991) Bulletin I. C. A. , vol.1 , pp. 59-70
    • Seah, E.1
  • 28
    • 0011359581 scopus 로고
    • Some perfect one factorizations on K14
    • E. Seah and D. Stinson, Some Perfect One Factorizations on K14, Discrete Math 34 (1987), 419-436.
    • (1987) Discrete Math , vol.34 , pp. 419-436
    • Seah, E.1    Stinson, D.2
  • 29
    • 38249031051 scopus 로고
    • A perfect one factorization of K36
    • E. Seah and D. Stinson, A Perfect One Factorization of K36, Discrete Math 70 (1988), 199-202.
    • (1988) Discrete Math , vol.70 , pp. 199-202
    • Seah, E.1    Stinson, D.2
  • 30
    • 84966230443 scopus 로고
    • On the enumeration of one-factorizations of the complete graph containing prescribed automorphism groups
    • E. Seah and D. Stinson, On The Enumeration of One-factorizations of the Complete Graph Containing Prescribed Automorphism Groups, Math Comp 50 (1988), 607-618.
    • (1988) Math Comp , vol.50 , pp. 607-618
    • Seah, E.1    Stinson, D.2
  • 31
    • 0007429627 scopus 로고
    • A perfect one-factorization of K32
    • E. Seah and D. Stinson, A Perfect one-factorization of K32, Congressus Numerantium 68 (1989), 211-214.
    • (1989) Congressus Numerantium , vol.68 , pp. 211-214
    • Seah, E.1    Stinson, D.2
  • 32
    • 0003957281 scopus 로고
    • Springer Verlag, New York
    • M. Suzuki, Group Theory II, Springer Verlag, New York (1986).
    • (1986) Group Theory II
    • Suzuki, M.1
  • 33
    • 84890095855 scopus 로고    scopus 로고
    • Zhang, Jiangzhou, Some results of Perfect One-Factorizations of K12168; K16808, and K29792, Preprint
    • Zhang, Jiangzhou, Some results of Perfect One-Factorizations of K12168; K16808, and K29792, Preprint.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.