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arXiv · cs/9809038

Incremental and Decremental Maintenance of Planar Width

David Eppstein
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Abstract

We present an algorithm for maintaining the width of a planar point set dynamically, as points are inserted or deleted. Our algorithm takes time O(kn^epsilon) per update, where k is the amount of change the update causes in the convex hull, n is the number of points in the set, and epsilon is any arbitrarily small constant. For incremental or decremental update sequences, the amortized time per update is O(n^epsilon).

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David Eppstein. 2000-05-04. Incremental and Decremental Maintenance of Planar Width. https://doi.org/10.1006/jagm.2000.1107

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