 Recent Publications

Fibonacci and Lucas Identities via
Graphs, Topics from the 8th Annual UNCG Regional
Mathematics and Statistics Conference
with John Jacobson 

Total Efficient Dominating Sets in
Cayley Graphs, The Journal of Combinatorial Mathematics and
Combinatorial Computing, (in
press) with Mari Castle and Keegan Gary 
 King's Total Domination
Number on the Square of Side n,
Ars
Combinatoria, in press, with Andy Lightcap


Domination and Independence on the
Triangular Honeycomb Chessboard, The College Mathematics
Journal (Sept. 2013), with Hong Lien Tran 

Proof Without Words: An Alternating Sum
of Squares, The College Mathematics Journal (May
2013) 

Counting Triangles to Sum Squares,
The College Mathematics Journal Vol. 43, No.
4 (September 2012), pp. 297303 

Which Chessboards have a Closed Knight's Tour within the Rectangular
Prism? The Electronic
Journal of Combinatorics,Volume 18, (2011) P8 

Proof Without Words:
Decomposing C(n,2) and n^2, The Mathematical Gazette,
Volume 94, Number 530, July 2010, p. 317 

A Graph Theoretic
Summation of the Cubes of the First n Integers, Mathematics Magazine,
Vol. 82, No. 5, December 2009, pp.363364 with Andy Lightcap 

Domination and Independence on the
Rectangular Torus by Rooks and Bishops,
with William
Faust


Closed Monochromatic Bishops'
Tour, Journal of Recreational Mathematics, Volume 34, Number 3,
pp. 196203 

Stirling Numbers of the Second Kind
and Primality, in Hamid R. Arabnia, Youngsong Mun,
Pei Li Zhou (Eds.): Proceedings of the 2008
International Conference on Foundations of Computer Science, FCS
2008, July 1417, 2008, Las Vegas, Nevada, USA.
CSREA Press 2008, with Stephen Touset


Closed
Knight's Tours with Minimum Square Removal for all Rectangular Boards,
Mathematics Magazine, 82:3 (June 2009) pp. 219225,
with Thomas Hippchen 
 Proof Without Words:
A Graph Theoretic Sum of the First n Integers, The College
Mathematics Journal 38 No. 4 (2007) 296, with Joey Tyson 

Which
Chessboards Have a Closed Knight's Tour within the Cube,
The Electronic
Journal of Combinatorics, Volume 14, (2007) R32 

Proof Without Words: A Graph Theoretic Decomposition of Binomial
Coefficients, Mathematics Magazine 80 No. 3 (2007) 182.

