Math Colloquium: Rob Muth, Washington & Jefferson

Art Galleries and Sleepy Guards - 
How many security guards does it take to protect an art gallery? In 1975, Chvátal showed that n/3 stationary guards are capable of monitoring any art gallery that has a polygonal floor plan with n walls. I’ll present Fisk’s proof of this fact, which elegantly distills this geometric question into a discrete one about graphs and combinatorics. I’ll discuss some modern-day applications of Chvátal's art gallery problem, as well as some interesting modifications, such as: What if the guards have a restricted range of view? What if they're prone to sleeping on the job? What if both?

This talk assumes no prior knowledge and should be accessible to first-year students. Portions of the talk will feature joint work with W&J students Daniel Florentino and Ethan Moy.

Thursday, September 24, 2020 at 4:45pm to 5:30pm

Virtual Event
Event Type

Lecture

Audience

Faculty, Students, Staff

Department
Mathematics, Division of Mathematical and Natural Sciences
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