Facets of a Balanced Minimum Evolution Network Polytope

Facets of a Balanced Minimum Evolution Network Polytope

Bibliographic Details
Main Author: Durell, Cassandra M.
Language:English
Published: University of Akron / OhioLINK 2019
Subjects:
Mathematics
Phylogenetics
Polytope
Facets
Balanced Minimum Evolution
Cylic Order
Excluded Node
Split
Dimension Reducing Equalities
Species
Network
Graph
Symmetric Travelling Salesman
Comb
Comb Facets
Online Access:http://rave.ohiolink.edu/etdc/view?acc_num=akron1555610317263679
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spelling ndltd-OhioLink-oai-etd.ohiolink.edu-akron15556103172636792021-08-03T07:10:40Z Facets of a Balanced Minimum Evolution Network Polytope Durell, Cassandra M. Mathematics Phylogenetics Polytope Facets Balanced Minimum Evolution Cylic Order Excluded Node Split Dimension Reducing Equalities Species Network Graph Symmetric Travelling Salesman Comb Comb Facets 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. 2019-06-27 English text University of Akron / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=akron1555610317263679 http://rave.ohiolink.edu/etdc/view?acc_num=akron1555610317263679 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
Phylogenetics
Polytope
Facets
Balanced Minimum Evolution
Cylic Order
Excluded Node
Split
Dimension Reducing Equalities
Species
Network
Graph
Symmetric Travelling Salesman
Comb
Comb Facets
spellingShingle Mathematics
Phylogenetics
Polytope
Facets
Balanced Minimum Evolution
Cylic Order
Excluded Node
Split
Dimension Reducing Equalities
Species
Network
Graph
Symmetric Travelling Salesman
Comb
Comb Facets
Durell, Cassandra M.
Facets of a Balanced Minimum Evolution Network Polytope
author Durell, Cassandra M.
author_facet Durell, Cassandra M.
author_sort Durell, Cassandra M.
title Facets of a Balanced Minimum Evolution Network Polytope
title_short Facets of a Balanced Minimum Evolution Network Polytope
title_full Facets of a Balanced Minimum Evolution Network Polytope
title_fullStr Facets of a Balanced Minimum Evolution Network Polytope
title_full_unstemmed Facets of a Balanced Minimum Evolution Network Polytope
title_sort facets of a balanced minimum evolution network polytope
publisher University of Akron / OhioLINK
publishDate 2019
url http://rave.ohiolink.edu/etdc/view?acc_num=akron1555610317263679
work_keys_str_mv AT durellcassandram facetsofabalancedminimumevolutionnetworkpolytope
_version_ 1719455396657102848

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