
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


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


King's Total Domination Number on the Square of Side n,
Ars Combinatoria, in
press, with Andy Lightcap


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, Proceedings
of The 2009 International Conference on Foundations of Computer Science
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, Proceedings
of The 2008 World Congress in Computer Science, Computer Engineering and
Applied Computing, 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.
