About cookies on this site Our websites require some cookies to function properly (required). In addition, other cookies may be used with your consent to analyze site usage, improve the user experience and for advertising. For more information, please review your options. By visiting our website, you agree to our processing of information as described in IBM’sprivacy statement. To provide a smooth navigation, your cookie preferences will be shared across the IBM web domains listed here.
Publication
Information Processing Letters
Paper
Computing the longest diagonal of a simple polygon
Abstract
An O(n log3n) algorithm is presented for computing the longest diagonal of a simple n-gon. The longest diagonal problem requires the determination of two vertices of the polygon that are visible to each other and that are farthest from each other among all such pairs. This problem is a variation of the "biggest stick" problem for which the most efficient algorithm that is known, is O(n1.98) time. © 1990.