Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke



Publications [#235407] of Pankaj K. Agarwal

Papers Published

  1. Agarwal, PK; Arge, L; Erickson, J; Franciosa, PG; Vitter, JS, Efficient searching with linear constraints, in Seventeenth Annual Symposium on Principles of Database Systems, Proceedings of the ACM SIGACT-SIGMOD-SIGART Symposium on Principles of Database Systems (1998), pp. 169-178
    (last updated on 2017/12/15)

    We show how to preprocess a set S of points in Rd into an external memory data structure that efficiently supports linear-constraint queries. Each query is in the form of a linear constraint a·x≤b; the data structure must report all the points of S that satisfy the constraint. Our goal is to minimize the number of disk blocks required to store the data structure and the number of disk accesses (I/Os) required to answer a query. For d = 2, we present the first near-linear size data structure that can answer linear-constraint queries using an optimal number of I/Os. We also present a linear-size data structure that can answer queries efficiently in the worst case. We combine these two approaches to obtain tradeoffs between space and query time. Finally, we show that some of our techniques extend to higher dimensions.
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320