From steiner triple systems to 3-sun systems

機構典藏 > College of Sciences > Graduate Institute & Department of Mathematics > Journal Article > Item 987654321/83430

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Title:	From steiner triple systems to 3-sun systems
Authors:	Fu, Chin-Mei;Jhuang, Nan-Hua;Lin, Yuan-Lung;Sung, Hsiao-Ming
Contributors:	淡江大學數學學系
Keywords:	Steiner triple system;3-Sun;3-Sun system;Cyclic;Decomposition
Date:	2012-04
Issue Date:	2013-03-19 14:13:23 (UTC+8)
Publisher:	Taipei: Mathematical Society of the Republic of China
Abstract:	An n-sun is the graph with 2n vertices consisting of an n-cycle with n pendent edges which form a 1-factor. In this paper we show that the necessary and sufficient conditions for the decomposition of complete tripartite graphs with at least two partite sets having the same size into 3-suns and give another construction to get a 3-sun system of order n, for n≡0,1,4,9 (mod 12). In the construction we metamorphose a Steiner triple system into a 3-sun system. We then embed a cyclic Steiner triple system of order n into a 3-sun system of order 2n−1, for n≡1 (mod 6).
Relation:	Taiwanese Journal of Mathematics 16(2), pp.531-543
DOI:	10.11650/twjm/1500406600
Appears in Collections:	[Graduate Institute & Department of Mathematics] Journal Article

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