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• W3197205346 abstract "Deletion propagation is widely studied for single view but rarely for multiple views. We study the deletion propagation problem for multiple views called <small>Mdp</small> . We investigate the complexity and algorithms of <small>Mdp</small> in depth for key-preserving conjunctive queries. We characterize the structure of the set of queries to derive new results. On aspect of combined complexity, for two key-preserving views, it is NP-hard to find an approximation within a constant ratio for <small>Mdp</small> . This implies, if the number of queries and the dimension of every query are unbounded, it is hard to find a good approximation for <small>Mdp</small> even under the key preservation condition. On aspect of data complexity, for two key-preserving views, it is NP-hard to approximate <small>Mdp</small> within a ratio <inline-formula><tex-math notation=LaTeX>$k-2-epsilon$</tex-math></inline-formula> for any <inline-formula><tex-math notation=LaTeX>$epsilon >0$</tex-math></inline-formula> and <inline-formula><tex-math notation=LaTeX>$k>4$</tex-math></inline-formula> , if the dimension of each individual query is at most <inline-formula><tex-math notation=LaTeX>$k$</tex-math></inline-formula> . On aspect of upper bound, we design a linear programming based approximation algorithm. This implies that, under the key preservation condition, <small>Mdp</small> can be approximated within a ratio <inline-formula><tex-math notation=LaTeX>$d$</tex-math></inline-formula> if each query has a dimension at most <inline-formula><tex-math notation=LaTeX>$d$</tex-math></inline-formula> and the set of input queries is tree-like. In addition, we show that the approximation ratio can be improved as <inline-formula><tex-math notation=LaTeX>$2sqrt{n}$</tex-math></inline-formula> when <inline-formula><tex-math notation=LaTeX>$n$</tex-math></inline-formula> the size of <inline-formula><tex-math notation=LaTeX>$I$</tex-math></inline-formula> is smaller than <inline-formula><tex-math notation=LaTeX>$d^2$</tex-math></inline-formula> . At last, a dynamic programming based algorithm is proposed to solve the strict star-like case in polynomial time. The strict star-like case is more restrictive than tree-like case under the key preservation condition." @default.
• W3197205346 created "2021-09-13" @default.
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• W3197205346 date "2023-03-01" @default.
• W3197205346 modified "2023-10-15" @default.
• W3197205346 title "Deletion Propagation Revisited for Multiple Key Preserving Views" @default.
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• W3197205346 doi "https://doi.org/10.1109/tkde.2021.3110851" @default.
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