PapersResearch
 Independence Ratios and Matching Ratios,
being written up.
 ErdösGyárfás Conjecture for Cubic Planar Graphs
(with Roi Krakovski), Electronic Journal of Combinatorics, Volume 20, Issue 2 (2013), P7.
 On Sara's Dove Bar Habit (with David Einstein and Timothy
Norfolk), American Mathematical Monthly, Vol. 116,
No. 9, November 2009, pp. 831835.
 On the Tightness of the 5/14
Independence Ratio, Discrete
Mathematics, Vol. 308/15, pp. 31693179.
PDF (use Acrobat to read)
 Independent Sets In TriangleFree Cubic
Planar Graphs (with Robin
Thomas), Journal of Combinatorial Theory, Series B.
96 (2006), 253275.
PDF (use Acrobat to read)
 A New Proof of the Independence Ratio of
TriangleFree Cubic Graphs
(with Robin Thomas),
Discrete Mathematics,
Vol 233/13, pp. 233237.
gzipped PostScript
My Erdös number is 3.
Not Research
 Matrix Operations on TI Graphing Calculators
(Unpublished instructions for solving a system of linear equations, and inverting a
matrix, for the TI83 and TI85 graphing calculators)
PDF
 Using Graphing Calculators To Evaluate Riemann Sums
(Unpublished instructions for setting up Riemann sums and how to get a
graphing calculator to evaluate them)
PDF
 Matrix Operations on a Casio Graphing Calculator
(Unpublished instructions for solving a system of linear equations, and inverting a
matrix, for the Casio series of graphing calculators)
PDF
 Linear Programming: Beyond 4.2 (The Simplex Method)
(Unpublished introduction to Linear Programming, in response to the textbook
which is used for MAT 119 at ASU)
PDF
[Updated August 1, 2006]
 Rook Polynomials (Proposed extension of the
Rook Polynomials
page at MathWorld)
PDF
 Matrix Applications: Markov Chains and Game Theory
(Unpublished introduction to these topics, presented in an ASU Workshop for
Tutors)
PDF
Conferences I've Attended
 2008 Jan 08: 2008 Joint Mathematics Meeting in San Diego, CA. Presented
``On the Tightness of the 5/14 Independence Ratio''
 2005 Oct 30: Arizona Mathematics Undergraduate
Conference (3rd Annual AMUC), in Flagstaff, AZ. Presented ``ProblemSolving Seminar At ASU''
(not a research presentation)
 2004 Jan 09: 2004
Joint Mathematics Meeting in Phoenix, AZ. Presented
``Independent
Sets in TriangleFree Cubic Planar Graphs''
 2002 Jan 07: 2002
Joint Mathematics Meeting in San Diego, CA. Presented
``Independence Ratios and Matching Ratios''
 2001 Mar 02: ThirtySecond International Conference
on Combinatorics, Graph Theory, and Computing, in Baton Rouge. Presented
``On the Tightness of the 5/14 Independence Ratio''
 2000 Apr 15: AMS 2000 Southeastern
Section Meeting in Lafayette, LA. Presented ``Independent Sets In TriangleFree Cubic Planar Graphs''
 2000 Jan 1922: 2000
Joint Mathematics Meetings in Washington, D.C.
 1999 Mar 10: Thirtieth
Southeastern International Conference on Combinatorics, Graph
Theory, and Computing, in Boca Raton, FL. Presented ``A
New Proof of the Independence Ratio of TriangleFree Cubic Graphs''
 1998 Aug 04:
DIMACS Research
& Education Institute DREI 1998 Graph Theory & Combinatorial Optimization
workshop at Rutgers. Presented ``Independent Sets In TriangleFree Cubic
Planar Graphs'' (the old proof) (invited)
 1998 Mar 12: The
TwentyNinth Southeastern International Conference on Combinatorics, Graph
Theory, and Computing, in Boca Raton, FL. Presented
``Independent Sets In TriangleFree Cubic Planar Graphs'' (the old proof)
 1991 Jan:
Joint National AMS/MAA Meeting, in San Francisco, CA. Presented
``Computer Generation of NonConvex Generalized Numerical Ranges''
