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Tight estimation of bichromatic farthest pair in graphs and related problems

Author(s)
Dalirrooyfard, Mina.
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Download1102049342-MIT.pdf (3.845Mb)
Other Contributors
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science.
Advisor
Virginia Vassilevska Williams.
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MIT theses are protected by copyright. They may be viewed, downloaded, or printed from this source but further reproduction or distribution in any format is prohibited without written permission. http://dspace.mit.edu/handle/1721.1/7582
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Abstract
Diameter and Radius are two of the most fundamental and well-studied graph parameters, where the diameter of a graph is the largest shortest paths distance and the radius is the smallest distance for which a "center" node can reach all other nodes. The natural and important ST-variant considers two subsets S and T of the vertex set and lets the ST-diameter be the maximum distance between a node in S and a node in T, and the ST-radius be the minimum distance for a node of S to reach all nodes of T. The bichromatic variant is the special case in which S and T partition the vertex set. This thesis provides a comprehensive study of the approximability of ST and Bichromatic Diameter, Radius, and Eccentricities in graphs with and without directions and weights. This Thesis is a joint work with Nikhil Vyas, Nicole Wein and Virginia Vassilevska Williams.
Description
Thesis: S.M., Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, 2019
 
Cataloged from PDF version of thesis.
 
Includes bibliographical references (pages 63-64).
 
Date issued
2019
URI
https://hdl.handle.net/1721.1/121731
Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Publisher
Massachusetts Institute of Technology
Keywords
Electrical Engineering and Computer Science.

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