College

Buchtel College of Arts and Sciences (BCAS)

Date of Last Revision

2020-05-04 14:22:14

Major

Applied Mathematics

Honors Course

3450:498

Number of Credits

3

Degree Name

Bachelor of Science

Date of Expected Graduation

Spring 2020

Abstract

Phylogenetic Networks are defined to be simple connected graphs with exactly n labeled nodes of degree one, called leaves, and where all other unlabeled nodes have a degree of at least three. These structures assist us with analyzing ancestral history, and its close relative - phylogenetic trees - garner the same visualization, but without the graph being forced to be connected. In this paper, we examine the various characteristics of Phylogenetic Networks and functions that take these networks as inputs, and convert them to more complex or simpler structures. Furthermore, we look at the nature of functions as they relate to the program NeighborNet, which inputs networks numerically and describes how they interact against multiple types of networks. Finally, by building upon previous research in this field, we attempt to comprise a formula for counting the total number of possible unweighted binary, triangle free, 2-nested networks.

Research Sponsor

Dr. Stefan Forcey

First Reader

Dr. James Cossey

Second Reader

Dr. Kevin Kreider

Honors Faculty Advisor

Dr. Curtis Clemons

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