New Facets of the Balanced Minimal Evolution Polytope

Bibliographic Details
Main Author: Keefe, Logan
Language:English
Published: University of Akron / OhioLINK 2016
Subjects:
Online Access:http://rave.ohiolink.edu/etdc/view?acc_num=akron1462199315
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spelling ndltd-OhioLink-oai-etd.ohiolink.edu-akron14621993152021-08-03T06:36:25Z New Facets of the Balanced Minimal Evolution Polytope Keefe, Logan Mathematics Bioinformatics 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 naturalnumber 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 geneticdata set. In this paper, we explore the geometric and combinatorial structure of theBME polytope. Background information will be covered, highlighting some pointsfrom previous research, and a new result on the structure of the BME polytope willbe given. 2016-06-10 English text University of Akron / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=akron1462199315 http://rave.ohiolink.edu/etdc/view?acc_num=akron1462199315 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws.
collection NDLTD
language English
sources NDLTD
topic Mathematics
Bioinformatics
spellingShingle Mathematics
Bioinformatics
Keefe, Logan
New Facets of the Balanced Minimal Evolution Polytope
author Keefe, Logan
author_facet Keefe, Logan
author_sort Keefe, Logan
title New Facets of the Balanced Minimal Evolution Polytope
title_short New Facets of the Balanced Minimal Evolution Polytope
title_full New Facets of the Balanced Minimal Evolution Polytope
title_fullStr New Facets of the Balanced Minimal Evolution Polytope
title_full_unstemmed New Facets of the Balanced Minimal Evolution Polytope
title_sort new facets of the balanced minimal evolution polytope
publisher University of Akron / OhioLINK
publishDate 2016
url http://rave.ohiolink.edu/etdc/view?acc_num=akron1462199315
work_keys_str_mv AT keefelogan newfacetsofthebalancedminimalevolutionpolytope
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