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New Facets of the Balanced Minimal Evolution Polytope

Keefe, Logan
http://rave.ohiolink.edu/etdc/view?acc_num=akron1462199315

Abstract Details

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.
Bioinformatics; Mathematics

Recommended Citations

Citations

  • Keefe, L. (2016). New Facets of the Balanced Minimal Evolution Polytope [Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1462199315

    APA Style (7th edition)

  • Keefe, Logan. New Facets of the Balanced Minimal Evolution Polytope. 2016. University of Akron, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1462199315.

    MLA Style (8th edition)

  • Keefe, Logan. "New Facets of the Balanced Minimal Evolution Polytope." Master's thesis, University of Akron, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=akron1462199315

    Chicago Manual of Style (17th edition)

akron1462199315
368
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This open access ETD is published by University of Akron and OhioLINK.