A Study on Pure Mendelsohn Triple Systems

碩士 === 靜宜大學 === 應用數學研究所 === 94 === The Steiner triple system of order υ (STS(υ)) plays an important role for design theory. It has been studied widely. The necessary and sufficient conditions for the existence of an STS(υ) is υ ≡ 1,3(mod 3). We study the pure λ-fold Mendelsohn triple systems of o...

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Main Authors:	Po-Hsin Wang, 王博信
Other Authors:	Kuo-Ching Huang
Format:	Others
Language:	en_US
Published:	2006
Online Access:	http://ndltd.ncl.edu.tw/handle/29ypw3

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spelling	ndltd-TW-094PU0055070072018-06-25T06:05:10Z http://ndltd.ncl.edu.tw/handle/29ypw3 A Study on Pure Mendelsohn Triple Systems 純Mendelsohn三元集的研究 Po-Hsin Wang 王博信碩士靜宜大學應用數學研究所 94 The Steiner triple system of order υ (STS(υ)) plays an important role for design theory. It has been studied widely. The necessary and sufficient conditions for the existence of an STS(υ) is υ ≡ 1,3(mod 3). We study the pure λ-fold Mendelsohn triple systems of order υ (MTS(υ,λ)). The necessary conditions for the existence of a pure MTS(υ,λ) are λυ(υ–1) ≡ 0(mod 3) and υ ≧2λ+2. In this thesis, we prove that the necessary conditions are also sufficient for some pairs (υ,λ). Kuo-Ching Huang 黃國卿 2006/07/ 學位論文 ; thesis 16 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 靜宜大學 === 應用數學研究所 === 94 === The Steiner triple system of order υ (STS(υ)) plays an important role for design theory. It has been studied widely. The necessary and sufficient conditions for the existence of an STS(υ) is υ ≡ 1,3(mod 3). We study the pure λ-fold Mendelsohn triple systems of order υ (MTS(υ,λ)). The necessary conditions for the existence of a pure MTS(υ,λ) are λυ(υ–1) ≡ 0(mod 3) and υ ≧2λ+2. In this thesis, we prove that the necessary conditions are also sufficient for some pairs (υ,λ).
author2	Kuo-Ching Huang
author_facet	Kuo-Ching Huang Po-Hsin Wang 王博信
author	Po-Hsin Wang 王博信
spellingShingle	Po-Hsin Wang 王博信 A Study on Pure Mendelsohn Triple Systems
author_sort	Po-Hsin Wang
title	A Study on Pure Mendelsohn Triple Systems
title_short	A Study on Pure Mendelsohn Triple Systems
title_full	A Study on Pure Mendelsohn Triple Systems
title_fullStr	A Study on Pure Mendelsohn Triple Systems
title_full_unstemmed	A Study on Pure Mendelsohn Triple Systems
title_sort	study on pure mendelsohn triple systems
publishDate	2006
url	http://ndltd.ncl.edu.tw/handle/29ypw3
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A Study on Pure Mendelsohn Triple Systems

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