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https://ah.lib.nccu.edu.tw/handle/140.119/88743
題名: | 一些可分組設計的矩陣建構 Some Matrix Constructions of Group Divisible Designs |
作者: | 鄭斯恩 Cheng, Szu En |
貢獻者: | 陳永秋 E. T. Tan 鄭斯恩 Cheng, Szu En |
關鍵詞: | 可分組設計 強則圖 斜對稱Hadamard 矩陣 group divisible design strongly regular graph skew-symmetric Hadamard matrix |
日期: | 1993 | 上傳時間: | 29-四月-2016 | 摘要: | 在本篇論文中我們使用矩陣來建構可分組設計(GDD), 我們列出了兩種型 In this thesis we use matrices to construct group divisible |
參考文獻: | [1] K. T. Arasu , D. Jungnickel and A. Pott. Symmetric divisible design with k – λ1=1. Discrete Math. , 97:25-38, 1991.\r\n[2] K. T. Arasu and A. Pott. Some constructions of group divisible designs with singer groups. Discrete Math. , 97:39-45, 1991.\r\n[3] K. T. Arasu, W. H. Haemers , D. Jungnickel and A. Pott. Matrix constructions for divisible designs. Linear Algebra appl. , 153:123-133, 1991.\r\n[4] T. Beth, D. Jungnickel and H. Lenz. Design Theory. Cambridge ,Univ., Cam-bridge, 1986.\r\n[5] R. C. Bose and W. S. Connor. Combinational properties of group divisible incomplete block design. Ann. Math. Stat. , 23:367-383, 1952.\r\n[6] A.E. Brouwer and J.H. Van Lint. Strongly regular graphs and partial geometries. In D. M. Jackson and S. A. Vanstone, editors, Enumeration and Design, pages 475-478. Academic, New York, 1988.\r\n[7] W. S. onnor. Some relations among the blocks of symmetric group divisible design. Ann. Math. Stat. , 23:602-609, 1952.\r\n[8] W. H. Haemers. Divisible design with r –λ1=1. J. Comb. Theo, Series A, 57:316-319, 1991.\r\n\r\n[9] M. Jr. Hall. Combinatorial Theory. A Wiley-Interscience publication., New York, 1986.\r\n[10] A. Hedayat and W. D. Wallis. Hadamard matrices and theeir applications. Ann. Stat. , 6:1184-1238, 1978.\r\n[11] S. Kageyama and T. Tanaka. Some families of group divisible designs. J. Stat. Plann. Interference, 5:231-241, 1981.\r\n[12] Z.W. Liu and H.J. Xiao. Construction of group divisible designs by nsing Hadamard matrices. In K. Matusita, editor, Statistical Theory and Data Analysis II, Page 475-478. Elsevier Science Publishers B.V., North-Holland 1988.\r\n[13] J. S. Parihar and R. Shrivastaa. Methods of constuction of group divisible designs. J. Stst. Plann. Inference, 18:399-404, 1988.\r\n[14] D. Raghavarao.Constructions and Combinatorial Problems in Design of Exper-iments. Wiley, New York, 1971.\r\n[15] S. S. Shrikhande. On a two parameter family of balanced incomplete block designs. Sankya, 24:33-40, 1962.\r\n[16] A. P. Street and D. J. Street. Combinatorics of Experimental Design. Oxford Univ., New York, 1987.\r\n[17] D. J. Street. Some constructions for PBIBDs. J. Stst. Plann. Inference, 10:119-129, 1984. | 描述: | 碩士 國立政治大學 應用數學系 80155011 |
資料來源: | http://thesis.lib.nccu.edu.tw/record/#B2002004241 | 資料類型: | thesis |
Appears in Collections: | 學位論文 |
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