| 有向Kirkman填充设计的谱 |
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| 引用本文： | 张彦,杜北梁. 有向Kirkman填充设计的谱[J]. 高校应用数学学报(英文版), 2003, 18(3): 325-331. DOI: 10.1007/s11766-003-0058-6 |
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| 作者姓名： | 张彦 杜北梁 |
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| 作者单位： | Zhang Yan Du BeiliangDept.of Math.,Suzhou Univ.,Suzhou 215006,China. |
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| 摘 要： | § 1 IntroductionLet X be a set of v points.A packing(directed packing) of X is a collection of subsets(ordered subsets) of X(called blocks) such that any pair(ordered pair) of distinct pointsfrom X occur together in atmostone block in the collection.A packing(directed packing)is called resolvable ifitsblock setadmitsa partition into parallel classes,each parallel classbeing a partition of the pointset X.A Kirkman triple system KTS(v) is a collection Tof3 -subsets of X(triples) suchthat …
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| 收稿时间： | 2003-01-23 |
Spectrum of directed kirkman packing designs |
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| Zhang Yan,Du Beiliang. Spectrum of directed kirkman packing designs[J]. Applied Mathematics A Journal of Chinese Universities, 2003, 18(3): 325-331. DOI: 10.1007/s11766-003-0058-6 |
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| Authors: | Zhang Yan Du Beiliang |
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| Affiliation: | Dept.of Math.,Suzhou Univ.,Suzhou 215006,China;Dept.of Math.,Suzhou Univ.,Suzhou 215006,China |
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| Abstract: | The problem studied in this article is the directed Kirkman packing, the resolvable directed packing which requires all blocks to be of size three except that, each resolution class should contain either one block of size two (when v≡2 (mod 3)) or one block of size four (when v≡1 (mod 3)). A directed Kirkman packing design DKPD(v) is a resolvable directed packing of a v-set by the maximum possible number of resolution classes of this type. This article investigates the spectrum of DKPD(v) and it is found that it contains all positive integers v⩾3 and v≠5,6. |
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| Keywords: | packing Kirkman packing Kirkman frame |
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