To Whom It May Concern:
Attached please find:
An article titled “The Circuit Partition Polynomial with Applications and Relation to the
Tutte and Interlace Polynomials”, for submission to the Rose-Hulman Undergraduate
Mathematics Journal.
Request Statement:
I would appreciate the opportunity to have my paper on the circuit partition
polynomial published in the fall issue of the Rose-Hulman Undergraduate Mathematics
Journal. The circuit partition polynomial is an interesting polynomial which has many
applications; however, we are just beginning the in-depth analysis of its many
possibilities.
Place and Dates the Work was Completed:
I began work on my mathematical research in January 2007 with support from the
Vermont Genetics Network, through the INBRE program of the NIH. My research was
concluded at the end of August 2007, with summer funding provided by the NSA. I have
recently finished a paper on the circuit partition polynomial which was the focus of my
research. All of my research was conducted at Saint Michael’s College.
Biographical Sketch:
I am currently a senior at Saint Michael’s College. I am from Rutland, Vermont. I
love to spend time with my family and two dogs, watch movies, and read. However, my
passion is mathematics. This is why when I heard about the opportunity to work at Saint
Michael’s for the summer conducting mathematical research I applied for the
opportunity. During the semester I conducted preliminary research, and during the
summer, worked full time. My main focus was to explore an area of graph theory that
was related to DNA sequencing. Thus, I settled upon the circuit partition polynomial.
Ultimately I wanted to explore as many aspects of the polynomial as closely as I could in
the time allotted. The intended result of the research was to be able to produce a paper on
the circuit partition polynomial that could be understood and appreciated by
undergraduate mathematicians.
Sponsors:
Professor Jo Ellis-Monaghan of the mathematics department at Saint Michael’s
College was my advisor on this project.
Additional Instructions:
I am sending two versions of my paper. I will send a word document; however, in
case things do not display correctly I am also sending a PDF file of the same article.
I would like to thank you for this opportunity, and your time and consideration.
Sincerely,
Andrea Austin
Saint Michael's College
aaustin2@smcvt.edu