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arXiv · 1411.1879

Optimal Data Structures for Farthest-Point Queries in Cactus Networks

Prosenjit Bose·Jean-Lou De Carufel·Carsten Grimm·Anil Maheshwari·Michiel Smid
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Abstract

Consider the continuum of points on the edges of a network, i.e., a connected, undirected graph with positive edge weights. We measure the distance between these points in terms of the weighted shortest path distance, called the network distance. Within this metric space, we study farthest points and farthest distances. We introduce optimal data structures supporting queries for the farthest distance and the farthest points on trees, cycles, uni-cyclic networks, and cactus networks.

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Prosenjit Bose, Jean-Lou De Carufel, Carsten Grimm, Anil Maheshwari, Michiel Smid. 2014-11-07. Optimal Data Structures for Farthest-Point Queries in Cactus Networks. https://doi.org/10.7155/jgaa.00345

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