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New Facets of the Balanced Minimal Evolution Polytope
Keefe, Logan

2016, Master of Science, University of Akron, Mathematics.
The balanced minimal evolution (BME) polytope arises from the study of phyloge-
netic 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 program-
ming 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.
Stefan Forcey, Dr. (Advisor)
James Cossey, Dr. (Committee Member)
Hung Nguyen, Dr. (Committee Member)
18 p.

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Keefe, L. (2016). New Facets of the Balanced Minimal Evolution Polytope. (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

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Keefe, Logan. "New Facets of the Balanced Minimal Evolution Polytope." Electronic Thesis or Dissertation. University of Akron, 2016. OhioLINK Electronic Theses and Dissertations Center. 17 Oct 2017.

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Keefe, Logan "New Facets of the Balanced Minimal Evolution Polytope." Electronic Thesis or Dissertation. University of Akron, 2016. https://etd.ohiolink.edu/

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