Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/88743| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | 陳永秋 | zh_TW |
| dc.contributor.advisor | E. T. Tan | en_US |
| dc.contributor.author | 鄭斯恩 | zh_TW |
| dc.contributor.author | Cheng, Szu En | en_US |
| dc.creator | 鄭斯恩 | zh_TW |
| dc.creator | Cheng, Szu En | en_US |
| dc.date | 1993 | en_US |
| dc.date.accessioned | 2016-04-29T08:32:35Z | - |
| dc.date.available | 2016-04-29T08:32:35Z | - |
| dc.date.issued | 2016-04-29T08:32:35Z | - |
| dc.identifier | B2002004241 | en_US |
| dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/88743 | - |
| dc.description | 碩士 | zh_TW |
| dc.description | 國立政治大學 | zh_TW |
| dc.description | 應用數學系 | zh_TW |
| dc.description | 80155011 | zh_TW |
| dc.description.abstract | 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 | zh_TW |
| dc.description.abstract | In this thesis we use matrices to construct group divisible | en_US |
| dc.description.tableofcontents | Abstract ii\r\n0 Introduction 1\r\n1 Preliminaries 4\r\n 1.1 BIBD and PBIBD................................................................................................5\r\n 1.1.1 BIBD............................................................................................................5\r\n 1.1.2 PBIBD..........................................................................................................7\r\n 1.2 GDO.....................................................................................................................8\r\n 1.3 Storngly regular graphs(SRG)............................................................................13\r\n 1.4 Hadamard matrix................................................................................................15\r\n2 Main Results 21\r\n 2.1 Type I : Construction of regular GDDs...............................................................21\r\n 2.2 Type II : Constructions of semi-regular and regular GDDs................................29\r\n3 Examples 37\r\n 3.1 Type I : Regular GDDs...........................................................................................37\r\n 3.2 Type II : Semi-regular and regular GDDs...............................................................40\r\n4 Discussion 44\r\nA Table of GDDs with r—λ1=1 46\r\nB Table of BIBDs with b=4(r-λ) 52 | zh_TW |
| dc.source.uri | http://thesis.lib.nccu.edu.tw/record/#B2002004241 | en_US |
| dc.subject | 可分組設計 | zh_TW |
| dc.subject | 強則圖 | zh_TW |
| dc.subject | 斜對稱Hadamard 矩陣 | zh_TW |
| dc.subject | group divisible design | en_US |
| dc.subject | strongly regular graph | en_US |
| dc.subject | skew-symmetric Hadamard matrix | en_US |
| dc.title | 一些可分組設計的矩陣建構 | zh_TW |
| dc.title | Some Matrix Constructions of Group Divisible Designs | en_US |
| dc.type | thesis | en_US |
| dc.relation.reference | [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. | zh_TW |
| item.grantfulltext | open | - |
| item.fulltext | With Fulltext | - |
| item.cerifentitytype | Publications | - |
| item.openairecristype | http://purl.org/coar/resource_type/c_46ec | - |
| item.openairetype | thesis | - |
| Appears in Collections: | 學位論文 | |
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