Christian Steven Hemsath
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A mad scientist has disguised themselves as a veterinarian and stolen away a non-empty collection of animals. Each animal in this ill-gotten collection corresponds to a distinct species. For each distinct species, the mad scientist has constructed a corresponding machine, capable of taking one member of the corresponding species as input and transforming that member into a finite, non-empty collection of animals from any number of species. The situation described above is known as a mad veterinarian scenario, with characteristics defined by the machines used. Gene Abrams and Jessica K. Sklar explored these concepts in “The Graph Menagerie: Abstract Algebra and the Mad Veterinarian”, as published in the Mathematics Magazine. Several connections to graph theory and group algebra piqued our interest in this paper, for which we now present a brief exploration.
Aparna W. Higgins
Primary Advisor's Department
Stander Symposium project, College of Arts and Sciences
"An Exploration of Mathematical Mad Veterinarian Scenarios" (2022). Stander Symposium Projects. 2535.