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Volumn 13, Issue 1, 1998, Pages 5-30

Balanced Incomplete Block Designs with Block Size 7

Author keywords

BIBD; Group Divisible design

Indexed keywords


EID: 0040075327     PISSN: 09251022     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008204220755     Document Type: Article
Times cited : (13)

References (25)
  • 1
    • 38149148243 scopus 로고
    • Forty-three balanced incomplete block designs
    • R. J. R. Abel, Forty-three balanced incomplete block designs, J. Combin. Theory (A), Vol. 65 (1994) pp. 252-267.
    • (1994) J. Combin. Theory (A) , vol.65 , pp. 252-267
    • Abel, R.J.R.1
  • 2
    • 0002454159 scopus 로고    scopus 로고
    • Some new BIBDs with λ = 1 and 6 ≤ k ≤ 10
    • R. J. R. Abel, Some new BIBDs with λ = 1 and 6 ≤ k ≤ 10, J. Comb. Designs, Vol. 4 (1996) pp. 27-50.
    • (1996) J. Comb. Designs , vol.4 , pp. 27-50
    • Abel, R.J.R.1
  • 4
    • 0000051145 scopus 로고    scopus 로고
    • Mutually orthogonal Latin squares
    • (C. J. Colbourn and J. H. Dinitz, eds.), CRC Press, Boca Raton
    • R. J. R. Abel, A. E. Brouwer, C. J. Colbourn and J. H. Dinitz, Mutually orthogonal Latin squares. In CRC Handbook of Combinatorial Designs, (C. J. Colbourn and J. H. Dinitz, eds.), CRC Press, Boca Raton (1996) pp. 111-142.
    • (1996) CRC Handbook of Combinatorial Designs , pp. 111-142
    • Abel, R.J.R.1    Brouwer, A.E.2    Colbourn, C.J.3    Dinitz, J.H.4
  • 5
    • 0002068036 scopus 로고
    • An elliptic semiplane
    • R. D. Baker, An elliptic semiplane, J. Combin. Theory (A), Vol. 25 (1978) pp. 193-195.
    • (1978) J. Combin. Theory (A) , vol.25 , pp. 193-195
    • Baker, R.D.1
  • 6
    • 0040075253 scopus 로고
    • On the application of finite projective geometry for deriving a certain series of balanced Kirkman arrangements
    • R. C. Bose, On the application of finite projective geometry for deriving a certain series of balanced Kirkman arrangements, Cal. Math. Soc. Golden Jubilee Commemoration Volume, Part II (1958-1959) pp. 341-356.
    • (1958) Cal. Math. Soc. Golden Jubilee Commemoration Volume, Part II , pp. 341-356
    • Bose, R.C.1
  • 7
    • 0002126293 scopus 로고
    • Group divisible designs with block-size four
    • A. E. Brouwer, A. Schrijver and H. Hanani, Group divisible designs with block-size four, Discrete Math., Vol. 20 (1977) pp. 1-10.
    • (1977) Discrete Math. , vol.20 , pp. 1-10
    • Brouwer, A.E.1    Schrijver, A.2    Hanani, H.3
  • 8
    • 0000641964 scopus 로고
    • Some maximal arcs in finite projective planes
    • R. H. F. Denniston, Some maximal arcs in finite projective planes, J. Combin. Theory (A), Vol. 6 (1969) pp. 317-319.
    • (1969) J. Combin. Theory (A) , vol.6 , pp. 317-319
    • Denniston, R.H.F.1
  • 9
    • 0007025719 scopus 로고
    • Some balanced incomplete block design constructions
    • M. Greig, Some balanced incomplete block design constructions, Congressus Numerantium, Vol. 77 (1990) pp. 121-134.
    • (1990) Congressus Numerantium , vol.77 , pp. 121-134
    • Greig, M.1
  • 11
    • 1842705503 scopus 로고    scopus 로고
    • Recursive constructions of balanced incomplete block designs with block size of 7, 8, or 9
    • M. Greig, Recursive constructions of balanced incomplete block designs with block size of 7, 8, or 9, submitted to Designs, Codes, Crypt.
    • Designs, Codes, Crypt.
    • Greig, M.1
  • 12
    • 1842806341 scopus 로고    scopus 로고
    • Designs from projective planes, and PBD bases
    • M. Greig, Designs from projective planes, and PBD bases, submitted to J. Combin. Designs.
    • J. Combin. Designs.
    • Greig, M.1
  • 14
    • 49549139524 scopus 로고
    • Balanced incomplete block designs and related designs
    • H. Hanani, Balanced incomplete block designs and related designs, Discrete Math. Vol. 11 (1975) pp. 255-369.
    • (1975) Discrete Math. , vol.11 , pp. 255-369
    • Hanani, H.1
  • 15
    • 0039483525 scopus 로고
    • BIBD's with block-size seven
    • H. Hanani, BIBD's with block-size seven, Discrete Math., Vol. 77 (1989) pp. 89-96.
    • (1989) Discrete Math. , vol.77 , pp. 89-96
    • Hanani, H.1
  • 16
    • 0039483524 scopus 로고
    • A class of block designs having the same parameters as the design of points and lines in a projective 3-space
    • (D. A. Houlton, ed.), Lecture Notes in Math., Springer-Verlag, Berlin
    • P. Lorimer, A class of block designs having the same parameters as the design of points and lines in a projective 3-space. In Combinatorial Mathematics, Proceedings of the Second Australian Conference, (D. A. Houlton, ed.), Lecture Notes in Math., Vol. 403, Springer-Verlag, Berlin (1974) pp. 73-78.
    • (1974) Combinatorial Mathematics, Proceedings of the Second Australian Conference , vol.403 , pp. 73-78
    • Lorimer, P.1
  • 17
    • 0011285042 scopus 로고
    • On resolvable BIBDs with block size five
    • Y. Miao and L. Zhu, On resolvable BIBDs with block size five, Ars Comb., Vol. 39 (1995) pp. 261-275.
    • (1995) Ars Comb. , vol.39 , pp. 261-275
    • Miao, Y.1    Zhu, L.2
  • 18
  • 19
    • 0040668871 scopus 로고
    • A method of construction of resolvable BIBD
    • E. Seiden, A method of construction of resolvable BIBD, Sankhyā, Vol. 25A (1963) pp. 393-394.
    • (1963) Sankhyā , vol.25 A , pp. 393-394
    • Seiden, E.1
  • 20
    • 0043007019 scopus 로고
    • A series of symmetrical group divisible incomplete block designs
    • D. A. Sprott, A series of symmetrical group divisible incomplete block designs, Ann. Math. Statist., Vol. 30 (1959) pp. 249-251.
    • (1959) Ann. Math. Statist. , vol.30 , pp. 249-251
    • Sprott, D.A.1
  • 21
    • 0002954340 scopus 로고
    • Construction and uses of pairwise balanced designs
    • R. M. Wilson, Construction and uses of pairwise balanced designs, Math. Centre Tracts, Vol. 55 (1974) pp. 18-41.
    • (1974) Math. Centre Tracts , vol.55 , pp. 18-41
    • Wilson, R.M.1
  • 22
    • 0013529739 scopus 로고
    • Existence of BIBDs with block size eight and λ = 7
    • J. Yin, Existence of BIBDs with block size eight and λ = 7, J. Combin. Math. Combin. Computing, Vol. 16 (1994) pp. 193-198.
    • (1994) J. Combin. Math. Combin. Computing , vol.16 , pp. 193-198
    • Yin, J.1
  • 23
    • 38249003164 scopus 로고
    • Four new BIBDs with block size seven
    • J. Yin and S. Wu, Four new BIBDs with block size seven, Discrete Math., Vol. 113 (1993) pp. 281-284.
    • (1993) Discrete Math. , vol.113 , pp. 281-284
    • Yin, J.1    Wu, S.2
  • 24
    • 0041094459 scopus 로고
    • Existence of three-fold BIBD's with block-size seven
    • L. Zhu, Existence of three-fold BIBD's with block-size seven, Appl. Math. Jour. of Chinese Universities, Vol. 7 (1992) pp. 321-326.
    • (1992) Appl. Math. Jour. of Chinese Universities , vol.7 , pp. 321-326
    • Zhu, L.1
  • 25
    • 1842655180 scopus 로고
    • Existence of BIBDs with block size seven
    • L. Zhu and S. Wu, Existence of BIBDs with block size seven, Utilitas Math., Vol. 38 (1990) pp. 3-13.
    • (1990) Utilitas Math. , vol.38 , pp. 3-13
    • Zhu, L.1    Wu, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.