DenseZDD: A Compact and Fast Index for Families of Sets
نویسندگان
چکیده
منابع مشابه
A Compact and Fast Index Structure for Families of Sets
In many real-life problems, we are often faced with manipulating families of sets. Manipulation of large-scale set families is one of the important fundamental techniques for web information retrieval, integration, and mining. For this purpose, a special type of binary decision diagrams (BDDs), called Zero-suppressed BDDs (ZDDs), is used. However, current techniques for storing ZDDs require a h...
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15 صفحه اولA convex combinatorial property of compact sets in the plane and its roots in lattice theory
K. Adaricheva and M. Bolat have recently proved that if $,mathcal U_0$ and $,mathcal U_1$ are circles in a triangle with vertices $A_0,A_1,A_2$, then there exist $jin {0,1,2}$ and $kin{0,1}$ such that $,mathcal U_{1-k}$ is included in the convex hull of $,mathcal U_kcup({A_0,A_1, A_2}setminus{A_j})$. One could say disks instead of circles.Here we prove the existence of such a $j$ and $k$ ...
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Proof. Properties 2 and 3 are left to the reader. For property 1, assume that S is an unbounded compact set. Since S is unbounded, we may select a sequence {vn}n=1 such that ‖vn‖ → 0 as n→∞. Since S is compact, this sequence will have a convergent subsequence, say {vk}k=1, which will still be unbounded. This sequence is Cauchy, so there is a positive integer K for which ‖v`− vm‖ ≤ 1/2 for all `...
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ژورنال
عنوان ژورنال: Algorithms
سال: 2018
ISSN: 1999-4893
DOI: 10.3390/a11080128