Existence and Construction of Balanced Incomplete Block Designs with Pairwise Additivity
Use this link to cite this item : https://ir.lib.hiroshima-u.ac.jp/00036454
| ID | 36454 |
| file | |
| title alternative | 組加法性をもつ釣合い型不完備ブロック計画の存在性と構成法
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| creator |
Matsubara, Kazuki
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| NDC |
Mathematics
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| date of created | 2014-12-03
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| language |
eng
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| nii type |
Thesis or Dissertation
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| HU type |
Doctoral Theses
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| DCMI type | text
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| format | application/pdf
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| text version | ETD
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| relation references | K. Matsubara and S. Kageyama; The construction of pairwise additive minimal BIB designs with asymptotic results; Applied Mathematics (2014a), (doi: 10.4236/am.2014.514207)
K. Matsubara and S. Kageyama; The existence of 3 pairwise additive B(v, 2, 1) for any v ≥ 6; Journal of Combinatorial Mathematics and Combinatorial Computing (2014b), to appear.
K. Matsubara and S. Kageyama; Some pairwise additive cyclic BIB designs; Statistics and Applications, 11(2013a), 55-77.
K. Matsubara and S. Kageyama; The Existence of Two Pairwise Additive BIBD(v, 2, 1) for Any v; Journal of Statistical Theory and Practice, 7(2013b), 783-790. (doi: 10.1080/15598608.2013.783742)
M. Sawa, K. Matsubara, D. Matsumoto, H. Kiyama and S. Kageyama; Decomposition of an all-one matrix into incidence matrices of a BIB design; Journal of Statistics and Applications, 4(2009), 455-464.
M. Sawa, K. Matsubara, D. Matsumoto, H. Kiyama and S. Kageyama; The Spectrum of Additive BIB Designs; Journal of Combinatorial Designs, 15(2007), 235-254. (doi: 10.1002/jcd.20147)
K. Matsubara, M. Sawa, D. Matsumoto, H. Kiyama and S. Kageyama; An addition structure on incidence matrices of a BIB design; Ars Combinatoria, 78(2006), 113-122.
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| relation references URL | http://dx.doi.org/10.4236/am.2014.514207 , http://dx.doi.org/10.1080/15598608.2013.783742 , http://dx.doi.org/10.1002/jcd.20147
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| grantid | 甲第6494号
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| degreeGrantor | 広島大学(Hiroshima University)
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| degreename Ja | 博士(理学)
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| degreename En | Doctor of Science
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| degreelevel | doctoral
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| date of granted | 2014-09-25
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| department |
Graduate School of Science
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