Existence and Construction of Balanced Incomplete Block Designs with Pairwise Additivity

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Title ( eng )	Existence and Construction of Balanced Incomplete Block Designs with Pairwise Additivity
Title ( jpn )	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
Creator	Matsubara Kazuki
NDC	Mathematics [ 410 ]
Language	eng
Resource Type	doctoral thesis
Publish Type	Not Applicable (or Unknown)
Access Rights	open access
Date	[Created] 2014-12-03
Source Identifier	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) references 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. references K. Matsubara and S. Kageyama; Some pairwise additive cyclic BIB designs; Statistics and Applications, 11(2013a), 55-77. references 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) references 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. references 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) references 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. references [DOI] 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 references
Dissertation Number	甲第6494号
Degree Name	Doctor of Science
Date of Granted	2014-09-25
Degree Grantors	広島大学