How to net a lot with little: small &egr;-nets for disks and halfspaces
SCG '90 Proceedings of the sixth annual symposium on Computational geometry
Fuzzy queries in multimedia database systems
PODS '98 Proceedings of the seventeenth ACM SIGACT-SIGMOD-SIGART symposium on Principles of database systems
On the hardness of approximating minimization problems
Journal of the ACM (JACM)
Combining fuzzy information from multiple systems
Journal of Computer and System Sciences
On the Average Number of Maxima in a Set of Vectors and Applications
Journal of the ACM (JACM)
A formula for incorporating weights into scoring rules
Theoretical Computer Science - Special issue on the 6th International Conference on Database Theory—ICDT '97
Multiobjective query optimization
PODS '01 Proceedings of the twentieth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
Optimal aggregation algorithms for middleware
PODS '01 Proceedings of the twentieth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
Efficient Progressive Skyline Computation
Proceedings of the 27th International Conference on Very Large Data Bases
On the approximability of trade-offs and optimal access of Web sources
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
Efficiently computing succinct trade-off curves
Theoretical Computer Science - Automata, languages and programming: Algorithms and complexity (ICALP-A 2004)
Efficiently computing succinct trade-off curves
Theoretical Computer Science - Automata, languages and programming: Algorithms and complexity (ICALP-A 2004)
Towards multidimensional subspace skyline analysis
ACM Transactions on Database Systems (TODS)
Probabilistic skylines on uncertain data
VLDB '07 Proceedings of the 33rd international conference on Very large data bases
Kernel-based skyline cardinality estimation
Proceedings of the 2009 ACM SIGMOD International Conference on Management of data
Understanding the meaning of a shifted sky: a general framework on extending skyline query
The VLDB Journal — The International Journal on Very Large Data Bases
Eliciting matters: controlling skyline sizes by incremental integration of user preferences
DASFAA'07 Proceedings of the 12th international conference on Database systems for advanced applications
Dominating sets in directed graphs
Information Sciences: an International Journal
Transitivity-preserving skylines for partially ordered domains
DASFAA'10 Proceedings of the 15th international conference on Database Systems for Advanced Applications - Volume Part II
Approaching the efficient frontier: cooperative database retrieval using high-dimensional skylines
DASFAA'05 Proceedings of the 10th international conference on Database Systems for Advanced Applications
Note: On the difference of the domination number of a digraph and of its reverse
Discrete Applied Mathematics
Probabilistic skyline operator over sliding windows
Information Systems
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We propose and investigate from the algorithmic standpoint a novel form of fuzzy query called approximately dominating representatives or ADRs. The ADRs of a multidimensional point set consist of a few points guaranteed to contain an approximate optimum of any monotone Lipschitz continuous combining function of the dimensions. ADRs can be computed by appropriately post-processing Pareto, or “skyline,” queries [14,1]. We show that the problem of minimizing the number of points returned, for a user-specified desired approximation, can be solved in polynomial time in two dimensions; for three and more it is NP-hard but has a polynomial-time logarithmic approximation. Finally, we present a polynomial-time, constant factor approximation algorithm for three dimensions.