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Majority in the Three-Way Comparison Model

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Nazari_Azin.pdf (502.29 KB)

Date

2019-08-28

Authors

Nazari, Azin

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Publisher

University of Waterloo

Abstract

In this thesis, we study comparison based problems in a new comparison model called three-way, where a comparison can result in { >, =, < }. We consider a set of n balls with fixed ordered coloring. Particularly, we are interested in finding a ball of the majority color, the color that occurs more than half, when there are 2 colors, partition problem, where the goal is to determine groups of balls with the same color when there are 2 and 3 colors, respectively. We study these problems using both deterministic and randomized approaches.

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Keywords

algorithm, theoretical computer science, comparison-based problems, majority, partition

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URI

http://hdl.handle.net/10012/14970

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Computer Science