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Facets of a Balanced Minimum Evolution Network Polytope

Durell, Cassandra M
http://rave.ohiolink.edu/etdc/view?acc_num=akron1555610317263679

Abstract Details

2019, Master of Science, University of Akron, Mathematics.
The balanced minimum evolution (BME) polytope is a structure representative of a problem in biology, in particular in the study of phylogenetic trees. In this scope, the polytope is used to answer the question of how a set of species are related to one another. In this paper we explore generalized instances of the BME polytope for networks. For one of these generalized BME polytopes we focus on the discovery of new facets and their corresponding equations, while for the other we give the facets of the polytope and discuss the relationship that they have to another well known polytope outside of the field of biology. Furthermore, we also provide the dimension reducing equalities that were discovered which hold for every BME polytope and then prove their existence.
Stefan Forcey, PhD (Advisor)
Malena Espanol, PhD (Committee Member)
James Cossey, PhD (Committee Member)
93 p.
Mathematics
Phylogenetics; Polytope; Facets; Balanced Minimum Evolution; Cylic Order; Excluded Node; Split; Dimension Reducing Equalities; Species; Network; Graph; Symmetric Travelling Salesman; Comb; Comb Facets

Recommended Citations

Citations

  • Durell, C. M. (2019). Facets of a Balanced Minimum Evolution Network Polytope [Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1555610317263679

    APA Style (7th edition)

  • Durell, Cassandra. Facets of a Balanced Minimum Evolution Network Polytope . 2019. University of Akron, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1555610317263679.

    MLA Style (8th edition)

  • Durell, Cassandra. "Facets of a Balanced Minimum Evolution Network Polytope ." Master's thesis, University of Akron, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=akron1555610317263679

    Chicago Manual of Style (17th edition)

akron1555610317263679
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This open access ETD is published by University of Akron and OhioLINK.