# Spanning Colored Points with Intervals

@inproceedings{Khanteimouri2013SpanningCP, title={Spanning Colored Points with Intervals}, author={Payam Khanteimouri and Ali Mohades and Mohammad Ali Abam and Mohammad Reza Kazemi}, booktitle={CCCG}, year={2013} }

We study a variant of the problem of spanning colored objects where the goal is to span colored objects with two similar regions. We dedicate our attention in this paper to the case where objects are points lying on the real line and regions are intervals. Precisely, the goal is to compute two intervals together spanning all colors. As the main ingredient of our algorithm, we first introduce a kinetic data structure to keep track of minimal intervals spanning all colors. Then we present a novel…

## 5 Citations

### Color Spanning Objects: Algorithms and Hardness Results

- Mathematics, Computer ScienceCALDAM
- 2016

Given that the problem turns out to be W[1]-hard parameterized by the standard parameters, a new parameter is introduced, namely sparsity, and new hardness and tractability results are proved in this context.

### Localized Query: Color Spanning Variations

- Mathematics, Computer ScienceCALDAM
- 2019

This paper presents efficient algorithms to pre-process P such that for a given query point q, it can quickly identify the smallest color spanning object of the desired type containing q.

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