# The Steiner problem, and it's variations

## Document Type

Presentation Abstract

## Presentation Date

9-24-2018

## Abstract

The Steiner problem is one of finding the shortest network spanning a finite number of points on the plane. We will start by introducing the initial version of this problem, called Fermat's problem: find a point in the plane where the sum of whose distances from three given points is minimal. This will lead us to the Steiner problem and to some of its variations which will include on going research. Throughout the talk, we will encounter different areas of mathematics such as differential geometry, computational geometry, graph theory, and calculus of variations.

This talk is intended to be for a general mathematical audience, including both undergraduate and graduate students in mathematics and the mathematical sciences.

## Recommended Citation

Alvarado, Enrique, "The Steiner problem, and it's variations" (2018). *Colloquia of the Department of Mathematical Sciences*. 554.

https://scholarworks.umt.edu/mathcolloquia/554

## Additional Details

Monday, September 24, 2018 at 3:00 p.m. in Math 103

Refreshments at 4:00 p.m. in Math Lounge 109