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Works Cited

Aurenhammer, Franz, and Rolf Klein. Voronoi Diagrams. Fernuniversität, 1996. 

General background on history and explanation of the largest empty circle problem.

Austin, David. “Voronoi Diagrams and a Day at the Beach.” American Mathematical


Aug. 2006, 

Information on the Voronoi diagram created for the cholera outbreak and on creating voronoi diagrams with perpendicular bisectors. 

Dobrin, Adam. A Review of Properties and Variation of Voronoi Diagrams. 

Definition of a Voronoi diagram and the largest empty circle.

Lynch, Peter. “How Voronoi Diagrams Help Us Understand Our World.” The Irish

Times, 23 Jan. 2017, 

General background research and examples of application for Voronoi diagrams.

Mount, Dave. “Voronoi Diagrams and Fortune's Algorithm.”, 2020, Accessed 2020.

Detailed information on and proof of Fortune's algorithm.

Mumm, Michael. “Voronoi Diagrams.” The Mathematics Enthusiast, vol. 1, no. 2,

2004.    Article 4. 

Mathematical definition of a Voronoi diagram and general background.

O’Rourke. “Voronoi Diagrams and Delaunay Triangulation.”, John Hopkins University,

2016, Accessed 2020.

General background and making Voronoi diagrams with a series of perpendicular bisectors.

Setter, Ophir. “Contructing Two-Dimensional Voronoi Diagrams via Divide-and-Conquer.” acg.cs, Tel

Aviv University, June 2009, Accessed December 2020.

Description of the divide and conquer method of producing Voronoi diagrams.

Skiena, Steven. “Voronoi Diagrams.” The Algorithim Design Manual, State University of New York,

June 1997, Accessed December 2020.

Description of the incremental algorithm.

Tamassia, Roberto. “Introduction of Voronoi Diagrams.” 22 Mar. 1993. 

Formal definition of a Voronoi diagram.

Thomas, Rachel. “Uncovering the Cause of Cholera.”, 12 Feb.


Connection to cholera outbreak and immunology. Image of map of cholera deaths.

Weisstein, Eric W. "Delaunay Triangulation." From MathWorld--A Wolfram Web Resource.


“Delaunay Triangulation.” Wikipedia, Wikimedia Foundation, 13 Dec. 2020, "Voronoi Tessellations." DataGenetics, 01 May 2017,

Fortune, Steven. “Voronoi Diagrams and Delaunay Triangulations.” Discrete and Computational

Geometry, CRC Press, 2017, pp. 705 - 721., Accessed 2020.

Mitchell, Joseph. “Voronoi and Delaunay Diagrams.” An Introduction to Computational Geometry, State

University of New York, Accessed 2020.

Ringler, Todd. “Introduction to Voronoi Diagrams and Delaunay Triangulations.” Clasp Research, Los

Almos National Laboratory, 2008, Accessed 2020.

Wikipedia. “Delaunay Triangulation.” Wikipedia, Wikipedia, 2020, Accessed 2020.

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