Color-spanning localized query

Article Type

Research Article

Publication Title

Theoretical Computer Science

Abstract

Let P be a set of n points, where each point is colored with one of the k possible colors. We present efficient algorithms to preprocess P such that for a given query point q, we can quickly identify the smallest color spanning object of the desired type containing q. In this paper, we focus on (i) intervals, (ii) axis-parallel square, (iii) axis-parallel rectangle, (iv) equilateral triangle of fixed orientation and (v) circle, as our desired type of objects.

First Page

85

Last Page

101

DOI

10.1016/j.tcs.2021.02.013

Publication Date

3-12-2021

Comments

Open Access, Green

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