| 完全可分的三元系TS(v,4)的支撑集 |
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| 引用本文： | 蔡满春,常彦勋.完全可分的三元系TS(v,4)的支撑集[J].高校应用数学学报(英文版),2002,17(4). |
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| 作者姓名： | 蔡满春 常彦勋 |
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| 作者单位： | Cai Manchun Chang YanxunSchool of Information Engineering，Beijing Univ. of Posts and Telecommunications，Beijing 100088，China.Dept. of Math.，Northern Jiaotong Univ.，Beijing 100044，China. |
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| 基金项目： | the National Natural Science Foundation of China (1 0 0 71 0 0 2 ) |
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| 摘 要： | § 1 IntroductionA triple system of order v and indexλ,denoted by TS(v,λ) ,is a collection of3- ele-mentsubsets Aof a v- set X,so thatevery 2 - subsetof X appears in preciselyλ subsets of A.L etλ≥ 2 and (X,A) be a TS(v,λ) .If Acan be partitioned into t(≥ 2 ) parts A1,A2 ,...,Atsuch that each (X,Ai) is a TS(v,λi) for 1≤ i≤ t,then (X,A) is called de-composable.Otherwise it is indecomposable.If t=λ,λi=1for 1≤ i≤ t,the TS(v,λ) (X,A) is called completely decomposable.It …
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SUPPORT SIZES OF COMPLETELY DECOMPOSABLE TS(v,4) |
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| Cai Manchun Chang YanxunSchool of Information Engineering,Beijing Univ. of Posts and Telecommunications,Beijing ,China.Dept. of Math.,Northern Jiaotong Univ.,Beijing ,China..SUPPORT SIZES OF COMPLETELY DECOMPOSABLE TS(v,4)[J].Applied Mathematics A Journal of Chinese Universities,2002,17(4). |
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| Authors: | Cai Manchun Chang YanxunSchool of Information Engineering Beijing Univ of Posts and Telecommunications Beijing ChinaDept of Math Northern Jiaotong Univ Beijing China |
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| Institution: | Cai Manchun Chang YanxunSchool of Information Engineering,Beijing Univ. of Posts and Telecommunications,Beijing 100088,China.Dept. of Math.,Northern Jiaotong Univ.,Beijing 100044,China. |
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| Abstract: | In this article the spectrum of support sizes of a completely decomposable TS(v,4) for any positive integer v≡1,3 (mod 6) is determined. |
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| Keywords: | support size completely decomposable triple system (hooked) Skolem sequence |
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