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Tagged Probe Interval Graphs 总被引:1,自引:0,他引:1
A generalization of interval graph is introduced for cosmid contig mapping of DNA. A graph is a tagged probe interval graph if its vertex set can be partitioned into two subsets of probes and nonprobes, and a closed interval can be assigned to each vertex such that two vertices are adjacent if and only if at least one of them is a probe and one end of its corresponding interval is contained in the interval corresponding to the other vertex. We show that tagged probe interval graphs are weakly triangulated graphs, hence are perfect graphs. For a tagged probe interval graph with a given partition, we give a chordal completion that is consistent to any interval completions with respect to the same vertex partition. 相似文献
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AbstractBalanced repeated measurements designs (RMDs) balance out the residual effects. Williams Latin square designs work as minimal combinatorial balanced as well as variance balanced for RMDs for p (period sizes) = v (number of treatments). If minimal balanced RMDs cannot be constructed for the situations where p must be less than v then weakly balanced RMDs should be preferred. In this article, some generators are developed to generate circular weakly balanced RMDs in periods of two different sizes. To obtain the proposed designs, some construction procedures are also described for some of the cases where we could not develop generators. 相似文献
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汪文珑 《绍兴文理学院学报》2003,23(8):1-4
研究非均匀介质、各向异性和连续能量的有界凸体迁移算子A的渐近点谱及其聚点.在L^p(1≤p< ∞)空间证明了算子K=A-B的相对紧性,获得了算子A的渐近点谱以及谱聚点分布的新结果。 相似文献
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S—完全正则与S—完全正规空间 总被引:1,自引:0,他引:1
艾为鸿 《东华理工学院学报》2001,20(3):5-7
文章引入了S-完全正则(S3.5)空间与S-完全正规(S5)空间的概念,讨论它们各自的特征性质以及与其他Si-空间的相互关系。 相似文献
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Sara van de Geer 《Scandinavian Journal of Statistics》2014,41(1):72-86
It has been shown in literature that the Lasso estimator, or ?1‐penalized least squares estimator, enjoys good oracle properties. This paper examines which special properties of the ?1‐penalty allow for sharp oracle results, and then extends the situation to general norm‐based penalties that satisfy a weak decomposability condition. 相似文献
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Maluta在〔1〕中给出Banach空间X的Maluta常数D(X)的定义,并给出了一些满足D(X)<1的Banach空间X和满足D(X)=1的Banaeh空间X,以及与不动点性的关系。徐洪坤在〔2〕中给出了更多的一些Banach空间X,使得D(X)<1。本文给出D(X)的更多等价定义及性质,从而推广〔1〕、〔2〕中部分结果。 相似文献
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本文证明了是非,局部一致非l或弱凸的充要条件为每个Xi分别也是非l,局部一致非l,弱凸的. 相似文献
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《统计学通讯:理论与方法》2012,41(13-14):2356-2366
In this article, the optimal design problem in a fixed effects interference model with left-neighbor effects is studied. It is known (Druilhet, 1999) that circular neighbor balanced designs (CNBDs) are universally optimal in such a model. We prove the universal optimality of circular weakly neighbor balanced designs (CWNBDs), which require a smaller number of blocks than CNBDs. CWNBDs with the number of blocks smaller than the number of treatments belong to the class of partially neighbor balanced designs (PNBDs) defined by Wilkinson et al. (1983). We give a construction method for some CWNBDs, with examples. 相似文献