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1. An improved algorithm for diameter-optimally augmenting paths in a metric space.

Author

Wang, Haitao

Subjects
*GRAPHIC methods, *ALGORITHMS, *DIAMETER, *GEOMETRIC vertices, *METRIC spaces
Abstract

Abstract Let P be a path graph of n vertices embedded in a metric space. We consider the problem of adding a new edge to P such that the diameter of the resulting graph is minimized. Previously (in ICALP 2015) the problem was solved in O (n log 3 ⁡ n) time. In this paper, based on new observations and different algorithmic techniques, we present an O (n log ⁡ n) time algorithm. [ABSTRACT FROM AUTHOR]

Published
2018
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