메뉴 건너뛰기




Volumn 197-198, Issue , 1999, Pages 83-109

Graphical t-designs via polynomial Kramer-Mesner matrices

Author keywords

Graphical t designs; Maximal subgroups of symmetric groups; Polynomial kramer Mesner matrices

Indexed keywords


EID: 18544409723     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0012-365x(99)90045-6     Document Type: Article
Times cited : (14)

References (24)
  • 1
    • 0346153604 scopus 로고
    • On the construction of block designs
    • W.O. Alltop, On the construction of block designs, J. Combin. Theory 1 (1966) 501-502.
    • (1966) J. Combin. Theory , vol.1 , pp. 501-502
    • Alltop, W.O.1
  • 3
    • 0011310576 scopus 로고
    • Designs, graphs, codes and their links
    • Cambridge Univ. Press, Cambridge
    • P.J. Cameron, J.H. van Lint, Designs, Graphs, Codes and their Links, London Math. Soc. Student Texts vol. 22, Cambridge Univ. Press, Cambridge, 1991.
    • (1991) London Math. Soc. Student Texts , vol.22
    • Cameron, P.J.1    Van Lint, J.H.2
  • 4
    • 38249000725 scopus 로고
    • Block-transitive t-designs I: Point-imprimitive designs
    • P.J. Cameron, C.E. Praeger, Block-transitive t-designs I: point-imprimitive designs, Discrete Math. 118 (1993) 33-43.
    • (1993) Discrete Math. , vol.118 , pp. 33-43
    • Cameron, P.J.1    Praeger, C.E.2
  • 5
    • 0041867535 scopus 로고
    • Graphical t-designs with block sizes three and four
    • Y.M. Chee, Graphical t-designs with block sizes three and four, Discrete Math. 91 (1991) 201-206.
    • (1991) Discrete Math. , vol.91 , pp. 201-206
    • Chee, Y.M.1
  • 6
    • 0346784035 scopus 로고
    • On graphical quintuple systems
    • Y.M. Chee, On graphical quintuple systems, J. Symbolic Comput. 13 (1992) 677-681.
    • (1992) J. Symbolic Comput. , vol.13 , pp. 677-681
    • Chee, Y.M.1
  • 7
    • 38248999690 scopus 로고
    • The existence of a simple 3 - (28, 5, 30) design
    • Y.M. Chee, The existence of a simple 3 - (28, 5, 30) design, Discrete Math. 118 (1993) 251-252.
    • (1993) Discrete Math. , vol.118 , pp. 251-252
    • Chee, Y.M.1
  • 8
    • 0003938168 scopus 로고    scopus 로고
    • Graphical designs
    • C.J. Colbourn, J.H. Dinitz (Eds.), CRC Press, Boca Raton, New York
    • Y.M. Chee, Graphical designs, in: The CRC Handbook of Combinatorial Designs, C.J. Colbourn, J.H. Dinitz (Eds.), CRC Press, Boca Raton, New York, 1996, pp. 367-369.
    • (1996) The CRC Handbook of Combinatorial Designs , pp. 367-369
    • Chee, Y.M.1
  • 11
    • 0041502787 scopus 로고
    • Department of Mathematics, Eindhoven University of Technology, Netherlands
    • L.H.M.E. Driessen, t-designs, t≥3, Technical Report, Department of Mathematics, Eindhoven University of Technology, Netherlands, 1978.
    • (1978) t-designs, t≥3, Technical Report
    • Driessen, L.H.M.E.1
  • 12
    • 0003780715 scopus 로고
    • Addison-Wesley, Reading MA
    • F. Harary, Graph Theory, Addison-Wesley, Reading MA, 1969.
    • (1969) Graph Theory
    • Harary, F.1
  • 13
    • 0013479613 scopus 로고
    • Zu einem isomorphiesatz von whitney für graphen
    • H.A. Jung, Zu einem Isomorphiesatz von Whitney für Graphen, Math. Ann. 164 (1966) 270-271.
    • (1966) Math. Ann. , vol.164 , pp. 270-271
    • Jung, H.A.1
  • 14
    • 0039486249 scopus 로고
    • On an infinite family of maximal subgroups of symmetric groups
    • in Russian
    • M.H. Klin, On an infinite family of maximal subgroups of symmetric groups, Trudy Nikolaevskogo Korablestroitelnogo Instituta 41 (1970) 148-151 (in Russian).
    • (1970) Trudy Nikolaevskogo Korablestroitelnogo Instituta , vol.41 , pp. 148-151
    • Klin, M.H.1
  • 16
    • 38249016280 scopus 로고
    • 3 (3, 5, 21) using graphs
    • 3 (3, 5, 21) using graphs, Discrete Math. 81 (1990) 223-224.
    • (1990) Discrete Math. , vol.81 , pp. 223-224
    • Kramer, E.S.1
  • 18
    • 0010679480 scopus 로고    scopus 로고
    • t-designs, t≥3
    • C.J. Colbourn, J.H. Dinitz (Eds.), CRC Press Boca Raton, New York
    • D.L. Kreher, t-designs, t≥3, in: The CRC Handbook of Combinatorial Designs, C.J. Colbourn, J.H. Dinitz (Eds.), CRC Press Boca Raton, New York, 1996, pp. 47-66.
    • (1996) The CRC Handbook of Combinatorial Designs , pp. 47-66
    • Kreher, D.L.1
  • 19
    • 0000898450 scopus 로고
    • Eine konstruktive version des lemmas von burnside
    • R. Laue, Eine konstruktive Version des Lemmas von Burnside, Bayreuther Mathem. Schriften 28 (1989) 111-125.
    • (1989) Bayreuther Mathem. Schriften , vol.28 , pp. 111-125
    • Laue, R.1
  • 20
    • 38249035054 scopus 로고
    • A classification of the maximal subgroups of the finite alternating and symmetric groups
    • M.W. Liebeck, C.E. Praeger, J. Saxl, A classification of the maximal subgroups of the finite alternating and symmetric groups, J. Algebra 111 (1987) 365-383.
    • (1987) J. Algebra , vol.111 , pp. 365-383
    • Liebeck, M.W.1    Praeger, C.E.2    Saxl, J.3
  • 22
    • 84986440299 scopus 로고
    • The t-designs with prescribed automorphism group, new simple 6-designs
    • B. Schmalz, The t-designs with prescribed automorphism group, new simple 6-designs, J. Combin. Des. 1 (1993) 125-170.
    • (1993) J. Combin. Des. , vol.1 , pp. 125-170
    • Schmalz, B.1
  • 23
    • 0001270387 scopus 로고
    • Congruent graphs and the connectivity of graphs
    • H. Whitney, Congruent graphs and the connectivity of graphs, Amer. J. Math. 54 (1932) 150-168.
    • (1932) Amer. J. Math. , vol.54 , pp. 150-168
    • Whitney, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.