Combinatorial Geometry

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Overview

Subject area

MATH

Catalog Number

243

Course Title

Combinatorial Geometry

Description

A survey of Euclidean and non-Euclidean geometrical ideas primarily from a non-metric perspective. Axiom systems. Distance functions. Basic topics in the theory of graphs; trees, planarity, networks, coloring problems, and Euler's polyhedral formula. Basic topics in convexity, discrete, and computational geometry: Helly's theorem, curves of constant breadth, the Sylvester-Gallai theorem, and Voronoi diagrams.

Typically Offered

Fall, Spring

Academic Career

Undergraduate

Liberal Arts

Yes

Credits

Minimum Units

3

Maximum Units

3

Academic Progress Units

3

Repeat For Credit

No

Components

Name

Lecture

Hours

3

Requisites

014926

Course Schedule