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Handbook of Data Structures and Applications, 2nd Edition
book

Handbook of Data Structures and Applications, 2nd Edition

by Dinesh P. Mehta, Sartaj Sahni
February 2018
Intermediate to advanced
1120 pages
53h 40m
English
Chapman and Hall/CRC
Content preview from Handbook of Data Structures and Applications, 2nd Edition

26

Cuttings*

Bernard Chazelle

Princeton University

26.1Introduction

26.2The Cutting Construction

Geometric SamplingOptimal Cuttings

26.3Applications

Point LocationHopcroft’s ProblemConvex Hulls and Voronoi DiagramsRange Searching

Acknowledgments

References

26.1Introduction

For divide-and-conquer purposes, it is often desirable to organize a set S of n numbers into a sorted list, or perhaps to partition it into two equal-sized groups with no element in one group exceeding any element in the other one. More generally, we might wish to break up S into k groups of size roughly n/k, with again a total ordering among the distinct groups. In the first case we sort; in the second one we compute the median; in the third one we compute quantiles. ...

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Publisher Resources

ISBN: 9781351645645