Date of Last Revision
2023-05-02 19:00:41
Major
Mathematics - BS/MS
Degree Name
Bachelor of Science
Date of Expected Graduation
Spring 2016
Abstract
The balanced minimal evolution (BME) polytope arises from the study of phylogenetic trees in biology. It is a geometric structure which has a variant for each natural number n. The main application of this polytope is that we can use linear programming with it in order to determine the most likely phylogenetic tree for a given genetic data set. In this paper, we explore the geometric and combinatorial structure of the BME polytope. Background information will be covered, highlighting some points from previous research, and a new result on the structure of the BME polytope will be given.
Research Sponsor
Dr. Stefan Forcey
First Reader
Dr. Hung Nguyen
Second Reader
Dr. J.P. Cossey
Recommended Citation
Keefe, Logan, "New Facets of the Balanced Minimal Evolution Polytope" (2016). Williams Honors College, Honors Research Projects. 256.
https://ideaexchange.uakron.edu/honors_research_projects/256