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不含短圈的非负特征图的边选择性
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作者 朱俊蕾 《嘉兴学院学报》 2012年第3期31-34,共4页
设G是一个能嵌入到欧拉示性数非负的曲面的图.证明了:1)若G不含3-圈,则G是(Δ+1)-边可选择的;2)若G不含4-圈,则G是t-边可选择的,这里如果Δ=5,那么t=7,其他情况下t=Δ+1,Δ表示图的最大度.
关键词 边选择性 非负特征图
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Application of fuzzy optimal selection of similar slopes to the evaluation of slope stability 被引量:8
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作者 王旭华 陈守煜 +1 位作者 唐列宪 张厚全 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2007年第3期415-418,共4页
The numerical calculation method is widely used in the evaluation of slope stability,but it cannot take the randomness and fuzziness into account that exist in rock and soil engineering objectively.The fuzzy optimizat... The numerical calculation method is widely used in the evaluation of slope stability,but it cannot take the randomness and fuzziness into account that exist in rock and soil engineering objectively.The fuzzy optimization theory is thus introduced to the evaluation of slope stability by this paper and a method of fuzzy optimal selection of similar slopes is put forward to analyze slope stability.By comparing the relative membership degrees that the evaluated object sample of slope is similar to the source samples of which the stabilities are detected clearly,the source sample with the maximal relative membership degree will be chosen as the best similar one to the object sample,and the stability of the object sample can be evaluated by that of the best similar source sample.In the process many uncertain influential factors are considered and characteristics and knowledge of the source samples are obtained.The practical calculation indicates that it can achieve good results to evaluate slope stability by using this method. 展开更多
关键词 fuzzy optimal selection of similar slopes relative membership degree object sample source sample
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The Generic Annular Bucket Histogram for Estimating the Selectivity of Spatial Selection and Spatial Join
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作者 Changxiu Cheng Chenghu Zhou Rongguo Chen 《Geo-Spatial Information Science》 2011年第4期262-273,共12页
Selectivity estimation is crucial for query optimizers choosing an optimal spatial execution plan in a spatial database management system.This paper presents an Annular Bucket spatial histogram(AB histogram)that can e... Selectivity estimation is crucial for query optimizers choosing an optimal spatial execution plan in a spatial database management system.This paper presents an Annular Bucket spatial histogram(AB histogram)that can estimate the selectivity in finer spatial selection and spatial join operations even when the spatial query has more operators or more joins.The AB histogram is represented as a set of bucket-range,bucket-count value pairs.The bucket-range often covers an annular region like a sin-gle-cell-sized photo frame.The bucket-count is the number of objects whose Minimum Bounding Rectangles(MBRs)fall between outer rectangle and inner rectangle of the bucket-range.Assuming that all MBRs in each a bucket distribute evenly,for every buck-et,we can obtain serial probabilities that satisfy a certain spatial selection or join conditions from the operations' semantics and the spatial relations between every bucket-range and query ranges.Thus,according to some probability theories,spatial selection or join selectivity can be estimated by the every bucket-count and its probabilities.This paper also shows a way to generate an updated AB histogram from an original AB histogram and those probabilities.Our tests show that the AB histogram not only supports the selectivity estimation of spatial selection or spatial join with "disjoint","intersect","within","contains",and "overlap" operators but also provides an approach to generate a reliable updated histogram whose spatial distribution is close to the distribution of ac-tual query result. 展开更多
关键词 selectivity estimation AB histogram annular bucket spatial selection spatial join
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