Michael Fraboni
Department of Mathematics and Computer Science
Moravian College
Publications
 The Birank Number of 3 × n Grid Graphs
 with Shane Harder. Appears in The Mathematics Exchange 11.1 (2017), pp. 1–13
 The Birank Number of Operationally Constructed Graphs
 with Andrew Benson. To appear in Congr. Numer. 2017
 The birank number of ladder, prism and Möbius ladder graphs
 with Madison Zebrine while she was a student here at Moravian College. Appears in the Australasian journal of Combinatorics, Volume 63(1) (2015), 34–40.

The birank number of a graph

with Michael Fisher at WCUPA and Darren Narayan at Rochester
Institute of Technology in Congr. Numer. 204 (2010), 173180.
 Maximum graphs with unique minimum dominating set of size two
 with Nathan Shank here at Moravian College in the
Australasian journal of Combinatorics, Volume 46 (2010), 91–99.
 Strong qConvexity in Uniform Neighborhoods of Subvarieties in Coverings of Complex Spaces

a joint paper with Terrence Napier from Lehigh University which appeard in Mathematische Zeitschrift volume 265 (2010), no. 3, 653685.
 Fractals in the Classroom
 a joint paper with Trisha Moller in Mathematics
Teacher, volume 102, no. 3 (October 2008).
 Culture Points: Engaging students
outside the classroom

a joint paper with Kevin Hartshorn from Moravian College which appeared in PRiMUS,
Volume XVII(2) (2007), pages 117124.
 qConvexity
Properties of Coverings of Complex Manifolds
 appeared in Mathematische Zeitschrift, Volume 254 (2006), no. 3,
553566

Conjugacy and the 3x+1 Conjecture

My paper about the 3x+1 problem (also known as the Collatz
Conjecture). It was written as an undergraduate research project at the
University of Scranton with Ken
Monks.
Student Work
 Upper Bounds on the Birank Number of G_{3,n} by Shane Harder

Shane completed his honors project in the spring of 2016.
 Birank Number of Operationally Constructed Graphs by Andrew Benson

Andrew completed this honors project in the spring of 2013.

The Collatz Conjecture: A Conjugacy Approach by James T Long III

I advised Jamie in his honors project which he completed in December of 2008. In addition, he
presented a chapter of his thesis at the 2008
Midstates Conference on Undergraduate Research in Mathematics and Computer Science where it is published
in the conference proceedings.

Explorations of the Collatz Conjecture by Kelly Latourette

I advised Kelly in her honors project which she completed in December of 2007.

