Tripling Construction for Large Sets of Resolvable Directed Triple Systems

Zhou Junling Chang Yanxun

文摘	In this paper, we first define a doubly transitive resolvable idempotent quasigroup （DTRIQ）, and show that aDTRIQ of order v exists if and only ifv ≡0（mod3） and v ≠ 2（mod4）. Then we use DTRIQ to present a tripling construction for large sets of resolvable directed triple systems, which improves an earlier version of tripling construction by Kang （J. Combin. Designs, 4 （1996）, 301-321）. As an application, we obtain an LRDTS（4·3^n） for any integer n ≥ 1, which provides an infinite family of even orders.
来源	Acta Mathematica Sinica. English Series ,2006,22(1):311-318 【核心库】
DOI	10.1007/s10114-004-0470-8
关键词	Doubly transitive resolvable idempotent quasigroup ; Resolvable directed triple system,Large set ; Tripling construction
地址	Department of Mathematics, Beijing Jiaotong University, Beijing, 100044
语种	英文
ISSN	1439-8516
学科	数学
基金	国家自然科学基金 ; 国家教育部高等学校优秀青年教师教学科研奖励计划
文献收藏号	CSCD:2674165

参考文献共 9 共1页

	1. Kang Q. Large sets of oriented triple systems with resolvability. Discrete Math,2000,212:199-221	CSCD被引 15 次
	2. Xu R. A construction for LRMTS(12)and LRDTS(12)(in Chinese). J Hebei Teachers College,1997,2:8-13	CSCD被引 1 次
	3. Kang Q. Large sets of resolvable MTS and DTS of order pn+2. J Combin Designs,1996,4:301-321	CSCD被引 3 次
	4. Zhang S. An improved product construction for large sets of Kirkman triple systems. DiscreteMath,2003,260:307-313	CSCD被引 3 次
	5. Chang Y. Transitively resolvable idempotent quasigroup and large sets of resolvable Mendelsohn triplesystems. Discrete Math to appear	CSCD被引 1 次
	6. Lindner C C. Construction of large sets of pairwise disjoint transitive triple systems. Europ J Combinatorics,1983,4:335-346	CSCD被引 3 次
	7. Zhang S. Transitive resolvable idempotent symmetric quasigroups and large sets of Kirkman triplesystems. Discrete Math,2002,247:215-223	CSCD被引 3 次
	8. Denes J. Latin square and their applications,1974	CSCD被引 3 次
	9. Kang Q. On large sets of resolvable and almost resolvable oriented triple systems. J Combin Designs,1996,4:95-104	CSCD被引 4 次

引证文献 3 篇

1 Qingde Kang More Large Sets of Resolvable MTS and DTS with Even Orders Acta Mathematicae Applicatae Sinica-English Series,2008,24(2):233-252
CSCD被引 0 次

2 Cheng Meihui The Constructions for Large Sets and Overlarge Sets of Resolvable Hybrid Triple Systems Journal of Mathematical Research with Applications,2015,35(1):19-38
CSCD被引 0 次

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